Q.2 In vertical circular motion, the ratio of kinetic energy of a particle at highest point to that at lowest point is (A) 5 (B) 2 (C) 0.5 (D) 0.

Size: px
Start display at page:

Download "Q.2 In vertical circular motion, the ratio of kinetic energy of a particle at highest point to that at lowest point is (A) 5 (B) 2 (C) 0.5 (D) 0."

Transcription

1

2 Physics R Q. Fo a gas 0.4, whee R is the univesal gas constant and 'C v ' is mola specific heat at C v constant volume. The gas is made up of molecules which ae (A) Rigid diatomic Monoatomic Non-igid diatomic Polyatomic Q. In vetical cicula motion, the atio of kinetic enegy of a paticle at highest point to that at lowest point is (A) Q. Two wies having same length and mateial ae stetched by same foce. Thei diametes ae in the atio :. The atio of stain enegy pe unit volume fo these two wies (smalle to lage diamete) when stetched is (A) : 9 : 7 : 8 : Q.4 A ing and a disc oll on the hoizontal suface without slipping with same linea velocity. If both have same mass and total kinetic enegy of the ing is 4 J then total kinetic enegy of the disc is (A) J 4 J 5 J 6 J Q.5 When the obseve moves towads the stationay souce with velocity, 'V ', the appaent fequency of emitted note is F. When the obseve moves away fom the souce with velocity 'V ', F V the appaent fequency is F. If V is the velocity of sound in ai and then? F V (A) 4 5

3 Q.6 Wie having tension 5 N poduces six beats pe second when it is tuned with a fok. When tension changes to 56 N, it is tuned with the same fok, the numbe of beats emain unchanged. The fequency of the fok will be (A) 86 Hz 5 Hz 56 Hz 80 Hz Q.7 Assuming the expession fo the pessue exeted by the gas on the walls of the containe, it can be shown that pessue is (A) d d th kinetic enegy pe unit volume of a gas kinetic enegy pe unit volume of a gas kinetic enegy pe unit volume of a gas 4 Kinetic enegy pe unit volume of a gas Q.8 A mass m connected to a hoizontal sping pefoms S.H.M. with amplitude A. While mass m is passing though mean position anothe mass m is placed on it so that both the masses move A togethe with amplitude A. The atio of A is (m m ) (A) m m m m m m m m m m m m

4 Q.9 A paticle moves along a cicle of adius with constant tangential acceleation. If the velocity of the paticle is at the end of second evolution, afte the evolution has stated then the tangential acceleation is (A) Q.0 Two stings A and B of same mateial ae stetched by same tension. The adius of the sting A is double the adius of sting B. Tansvese wave tavels on sting A with speed V and on sting B with speed V B. The atio V V A B is A (A) 4 4 Q. The bob of a simple pendulum pefoms S.H.M. with peiod T in ai and with peiod T in wate. Relation between T and T is (neglect fiction due to wate, density of the mateial of the bob is 9 0 kg / m, density of wate g ) 8 cc (A) T T T T T T T T

5 Q. In a capillay tube of adius R, a staight thin metal wie of adius (R > ) is inseted symmetically and one end of the combination is dipped vetically in wate such that the lowe end of the combination is at same level. The ise of wate in the capillay tube is [T = suface tension of wate, = density of wate, g = gavitational acceleation] T (A) (R ) g T (R ) g T (R ) g (R ) g T Q. When open pipe is closed fom one end then thid ovetone of closed pipe is highe in fequency by 50 Hz than second ovetone of open pipe. The fundamental fequency of open end pipe will be (A) 75 Hz 50 Hz 5 Hz 00 Hz Q.4 A disc of adius R and thickness R 6 has moment of inetia I about an axis passing though its cente and pependicula to its plane. Disc is melted and ecast into a solid sphee. The moment of inetia of a sphee about its diamete is (A) I 5 I 6 I I 64 Q.5 Let a steel ba of length l, beadth b and depth d be loaded at the cente by a load W. Then the sag of bending of beam is (Y = Young s modulus of mateial of steel) (A) Wl bd Y Wl 4bd Y Wl bd Y Wl 4bd Y 4

6 Q.6 Which of the following quantity does NOT change due to damping of oscillations? (A) Angula fequency Time peiod Initial phase Amplitude Q.7 If the end coection of an open pipe is 0.8 cm then the inne adius of that pipe will be (A) cm cm cm 0. cm Q.8 A pogessive wave is epesented by y = sin (5t 4x) cm. On this wave, how fa away ae the two points having phase diffeence of 90? (A) cm cm 4 cm 8 cm 6 Q.9 Two paticles of masses m and 9m ae sepaated by a distance. At a point on the line joining them the gavitational field is zeo. The gavitational potential at that point is (G = Univesal constant of gavitation) (A) 4Gm 8Gm 6Gm Gm 5

7 Q.0 A black ectangula suface of aea A emits enegy E pe second at 7 C. If length and beadth ae educed to becomes (A) 4E 9 7E 9 0E 9 6E 9 d of initial value and tempeatue is aised to 7 C then enegy emitted pe second Q. A liquid dop having suface enegy E is spead into 5 doplets of same size. The final suface enegy of the doplets is (A) E 4E 8E E Q. Let M be the mass and L be the length of a thin unifom od. In fist case, axis of otation is passing though cente and pependicula to the length of the od. In second case axis of otation is passing though one end and pependicula to the length of the od. The atio of adius of gyation in fist case to second case is (A) 4 8 Q. A simple pendulum of length l has maximum angula displacement. The maximum kinetic enegy of the bob of mass m is (g = acceleation due to gavity) (A) mgl ( cos ) mgl ( cos ) mgl ( cos ) mgl (cos ) 6

8 Q.4 Angula speed of hou hand of a clock in degee pe second is (A) Q.5 The value of gavitational acceleation g at a height h above the eath s suface is g 4 then (R = adius of eath) (A) h = R h R h R h R 4 Q.6 In potentiomete expeiment, null point is obtained at a paticula point fo a cell on potentiomete wie x cm long. If the length of the potentiomete wie is inceased without changing the cell, the balancing length will (Diving souce is not changed) (A) incease decease not change becomes zeo Q.7 An ion od is placed paallel to magnetic field of intensity 000 A m. The magnetic flux though the od is Wb and its coss-sectional aea is cm. The magnetic pemeability of the od in Wb is A m (A)

9 Q.8 Altenating cuent of peak value ampee flows though the pimay coil of the tansfome. The coefficient of mutual inductance between pimay and seconday coil is heny. The peak e.m.f. induced in seconday coil is (Fequency of a.c. = 50 Hz) (A) 00 V 00 V V Q.9 An electon of mass m has de-boglie wavelength when acceleated though potential diffeence V. When poton of mass M, is acceleated though potential diffeence 9V, the de-boglie wavelength associated with it will be (Assume that wavelength is detemined at low voltage) (A) M m M m m M m M Q.0 Intefeence finges ae poduced on a sceen by using two light souces of intensities I and 9I. The phase diffeence between the beams is at point P and at point Q on the sceen. The diffeence between the esultant intensities at point P and Q is (A) I 4 I 6 I 8 I Q. Thee paallel plate ai capacitos ae connected in paallel. Each capacito has plate aea 'A' and the sepaation between the plates is d, d and d espectively. The equivalent capacity of combination is ( 0 = absolute pemittivity of fee space) (A) 7 0 A 8d 0 A 8d 0 A 8d 0 7 A 8d 8

10 Q. In an oscillato, fo sustained oscillations, Bakhausen citeion is A equal to (A = voltage gain without feedback, = feedback facto) (A) Zeo Q. Light of wavelength which is less than theshold wavelength is incident on a photosensitive mateial. If incident wavelength is deceased so that emitted photoelectons ae moving with same velocity then stopping potential will (A) incease decease be zeo become exactly half Q.4 A ay of light tavelling though ae medium is incident at vey small angle i on a glass slab and afte efaction its velocity is educed by 0%. The angle of deviation is (A) 8 5 4i 5 Q.5 The maximum fequency of tansmitted adio waves above which the adio waves ae no longe eflected back by ionosphee is (N = maximum electon density of ionosphee, g = acceleation due to gavity) (A) gn gn g N gn Q.6 In Boh s theoy of Hydogen atom, the electon jumps fom highe obit n to lowe obit p. The wavelength will be minimum fo the tansition (A) n = 5 to p = 4 n = 4 to p = n = to p = n = to p = 9

11 Q.7 Two identical paallel plate ai capacitos ae connected in seies to a battey of e.m.f. V. If one of the capacito is completely filled with dielectic mateial of constant K, then potential diffeence of the othe capacito will become K (A) V(K ) V K K KV V K(K ) Q.8 The LC paallel esonant cicuit (A) has a vey high impedance has a vey high cuent acts as esistance of vey low value has zeo impedance Q.9 A galvanomete of esistance 0 is connected to a battey of emf V with 970 esistance in seies. A full scale deflection of 0 divisions is obtained in the galvanomete. To educe the deflection to 0 divisions, the esistance in seies equied is (A) Q.40 Two coheent souces P and Q poduce intefeence at point A on the sceen whee thee is a dak band which is fomed between 4th bight band and 5th bight band. Wavelength of light used is 6000Å. The path diffeence between PA and QA is 4 (A).4 0 cm 4.70 cm cm cm 0

12 Q.4 The schematic symbol of light emitting diode is (LED) Q.4 The amount of wok done in inceasing the voltage acoss the plates of capacito fom 5V to 0V is W. The wok done in inceasing it fom 0V to 5V will be (A) W 0.6 W.5 W.67 W Q.4 Magnetic flux passing though a coil is initially 40 4 Wb. It educes to 0% of its oiginal value in t second. If the e.m.f induced is 0.7 mv then t in second is (A) Q. 44 Resolving powe of telescope inceases when (A) wavelength of light deceases wavelength of light inceases focal length of eye-piece inceases ( D) focal length of eye-piece deceases Q.45 When light of wavelength ' ' is incident on photosensitive suface, the stopping potential is V. When light of wavelength is incident on same suface, the stopping potential is 'V' 6. Theshold wavelength fo the suface is (A) 4 5 Q.46 Fom Bewste s law, except fo polished metallic sufaces, the polaising angle (A) depends on wavelength and is diffeent fo diffeent colous independent of wavelength and is diffeent fo diffeent colous independent of wavelength and is same fo diffeent colous depends on wavelength and is same fo diffeent colous

13 Q.47 Two paticles X and Y having equal chages afte being acceleated though same potential diffeence ente a egion of unifom magnetic field and descibe a cicula paths of adii and espectively. The atio of the mass of X to that of Y is (A) Q.48 When an electon in Hydogen atom evolves in stationay obit, it (A) does not adiate light though its velocity changes does not adiate light and velocity emains unchanged adiates light but its velocity is unchanged adiates light with the change of enegy Q.49 The magnetic field inside a long solenoid having n, tuns pe unit length and caying cuent T when ion coe is kept in it is ( 0 = pemeability of vacuum, = magnetic susceptibility) (A) ni( ) 0 ni 0 ni ( ) 0 ni( ) 0 Q.50 In balanced mete bidge, the esistance of idge wie is 0. / cm. Uknown esistance X is connected in left gap and 6 in ight gap, null point divides the wie in the ation :. Find the cuent dawn the battey of 5 V having negligible esistance. (A) A.5 A A 5 A

12. Rolling, Torque, and Angular Momentum

12. Rolling, Torque, and Angular Momentum 12. olling, Toque, and Angula Momentum 1 olling Motion: A motion that is a combination of otational and tanslational motion, e.g. a wheel olling down the oad. Will only conside olling with out slipping.

More information

FXA 2008. Candidates should be able to : Describe how a mass creates a gravitational field in the space around it.

FXA 2008. Candidates should be able to : Describe how a mass creates a gravitational field in the space around it. Candidates should be able to : Descibe how a mass ceates a gavitational field in the space aound it. Define gavitational field stength as foce pe unit mass. Define and use the peiod of an object descibing

More information

Exam 3: Equation Summary

Exam 3: Equation Summary MASSACHUSETTS INSTITUTE OF TECHNOLOGY Depatment of Physics Physics 8.1 TEAL Fall Tem 4 Momentum: p = mv, F t = p, Fext ave t= t f t= Exam 3: Equation Summay total = Impulse: I F( t ) = p Toque: τ = S S,P

More information

Deflection of Electrons by Electric and Magnetic Fields

Deflection of Electrons by Electric and Magnetic Fields Physics 233 Expeiment 42 Deflection of Electons by Electic and Magnetic Fields Refeences Loain, P. and D.R. Coson, Electomagnetism, Pinciples and Applications, 2nd ed., W.H. Feeman, 199. Intoduction An

More information

AP Physics Electromagnetic Wrap Up

AP Physics Electromagnetic Wrap Up AP Physics Electomagnetic Wap Up Hee ae the gloious equations fo this wondeful section. F qsin This is the equation fo the magnetic foce acting on a moing chaged paticle in a magnetic field. The angle

More information

PY1052 Problem Set 8 Autumn 2004 Solutions

PY1052 Problem Set 8 Autumn 2004 Solutions PY052 Poblem Set 8 Autumn 2004 Solutions H h () A solid ball stats fom est at the uppe end of the tack shown and olls without slipping until it olls off the ight-hand end. If H 6.0 m and h 2.0 m, what

More information

Magnetic Field and Magnetic Forces. Young and Freedman Chapter 27

Magnetic Field and Magnetic Forces. Young and Freedman Chapter 27 Magnetic Field and Magnetic Foces Young and Feedman Chapte 27 Intoduction Reiew - electic fields 1) A chage (o collection of chages) poduces an electic field in the space aound it. 2) The electic field

More information

Solution Derivations for Capa #8

Solution Derivations for Capa #8 Solution Deivations fo Capa #8 1) A ass spectoete applies a voltage of 2.00 kv to acceleate a singly chaged ion (+e). A 0.400 T field then bends the ion into a cicula path of adius 0.305. What is the ass

More information

Chapter 22. Outside a uniformly charged sphere, the field looks like that of a point charge at the center of the sphere.

Chapter 22. Outside a uniformly charged sphere, the field looks like that of a point charge at the center of the sphere. Chapte.3 What is the magnitude of a point chage whose electic field 5 cm away has the magnitude of.n/c. E E 5.56 1 11 C.5 An atom of plutonium-39 has a nuclea adius of 6.64 fm and atomic numbe Z94. Assuming

More information

Forces & Magnetic Dipoles. r r τ = μ B r

Forces & Magnetic Dipoles. r r τ = μ B r Foces & Magnetic Dipoles x θ F θ F. = AI τ = U = Fist electic moto invented by Faaday, 1821 Wie with cuent flow (in cup of Hg) otates aound a a magnet Faaday s moto Wie with cuent otates aound a Pemanent

More information

(a) The centripetal acceleration of a point on the equator of the Earth is given by v2. The velocity of the earth can be found by taking the ratio of

(a) The centripetal acceleration of a point on the equator of the Earth is given by v2. The velocity of the earth can be found by taking the ratio of Homewok VI Ch. 7 - Poblems 15, 19, 22, 25, 35, 43, 51. Poblem 15 (a) The centipetal acceleation of a point on the equato of the Eath is given by v2. The velocity of the eath can be found by taking the

More information

Experiment 6: Centripetal Force

Experiment 6: Centripetal Force Name Section Date Intoduction Expeiment 6: Centipetal oce This expeiment is concened with the foce necessay to keep an object moving in a constant cicula path. Accoding to Newton s fist law of motion thee

More information

Vector Calculus: Are you ready? Vectors in 2D and 3D Space: Review

Vector Calculus: Are you ready? Vectors in 2D and 3D Space: Review Vecto Calculus: Ae you eady? Vectos in D and 3D Space: Review Pupose: Make cetain that you can define, and use in context, vecto tems, concepts and fomulas listed below: Section 7.-7. find the vecto defined

More information

Voltage ( = Electric Potential )

Voltage ( = Electric Potential ) V-1 of 9 Voltage ( = lectic Potential ) An electic chage altes the space aound it. Thoughout the space aound evey chage is a vecto thing called the electic field. Also filling the space aound evey chage

More information

Voltage ( = Electric Potential )

Voltage ( = Electric Potential ) V-1 Voltage ( = Electic Potential ) An electic chage altes the space aound it. Thoughout the space aound evey chage is a vecto thing called the electic field. Also filling the space aound evey chage is

More information

Gravitation. AP Physics C

Gravitation. AP Physics C Gavitation AP Physics C Newton s Law of Gavitation What causes YOU to be pulled down? THE EARTH.o moe specifically the EARTH S MASS. Anything that has MASS has a gavitational pull towads it. F α Mm g What

More information

1240 ev nm 2.5 ev. (4) r 2 or mv 2 = ke2

1240 ev nm 2.5 ev. (4) r 2 or mv 2 = ke2 Chapte 5 Example The helium atom has 2 electonic enegy levels: E 3p = 23.1 ev and E 2s = 20.6 ev whee the gound state is E = 0. If an electon makes a tansition fom 3p to 2s, what is the wavelength of the

More information

7 Circular Motion. 7-1 Centripetal Acceleration and Force. Period, Frequency, and Speed. Vocabulary

7 Circular Motion. 7-1 Centripetal Acceleration and Force. Period, Frequency, and Speed. Vocabulary 7 Cicula Motion 7-1 Centipetal Acceleation and Foce Peiod, Fequency, and Speed Vocabulay Vocabulay Peiod: he time it takes fo one full otation o evolution of an object. Fequency: he numbe of otations o

More information

The Electric Potential, Electric Potential Energy and Energy Conservation. V = U/q 0. V = U/q 0 = -W/q 0 1V [Volt] =1 Nm/C

The Electric Potential, Electric Potential Energy and Energy Conservation. V = U/q 0. V = U/q 0 = -W/q 0 1V [Volt] =1 Nm/C Geneal Physics - PH Winte 6 Bjoen Seipel The Electic Potential, Electic Potential Enegy and Enegy Consevation Electic Potential Enegy U is the enegy of a chaged object in an extenal electic field (Unit

More information

Introduction to Fluid Mechanics

Introduction to Fluid Mechanics Chapte 1 1 1.6. Solved Examples Example 1.1 Dimensions and Units A body weighs 1 Ibf when exposed to a standad eath gavity g = 3.174 ft/s. (a) What is its mass in kg? (b) What will the weight of this body

More information

PHYSICS 111 HOMEWORK SOLUTION #13. May 1, 2013

PHYSICS 111 HOMEWORK SOLUTION #13. May 1, 2013 PHYSICS 111 HOMEWORK SOLUTION #13 May 1, 2013 0.1 In intoductoy physics laboatoies, a typical Cavendish balance fo measuing the gavitational constant G uses lead sphees with masses of 2.10 kg and 21.0

More information

SELF-INDUCTANCE AND INDUCTORS

SELF-INDUCTANCE AND INDUCTORS MISN-0-144 SELF-INDUCTANCE AND INDUCTORS SELF-INDUCTANCE AND INDUCTORS by Pete Signell Michigan State Univesity 1. Intoduction.............................................. 1 A 2. Self-Inductance L.........................................

More information

Determining solar characteristics using planetary data

Determining solar characteristics using planetary data Detemining sola chaacteistics using planetay data Intoduction The Sun is a G type main sequence sta at the cente of the Sola System aound which the planets, including ou Eath, obit. In this inestigation

More information

The Role of Gravity in Orbital Motion

The Role of Gravity in Orbital Motion ! The Role of Gavity in Obital Motion Pat of: Inquiy Science with Datmouth Developed by: Chistophe Caoll, Depatment of Physics & Astonomy, Datmouth College Adapted fom: How Gavity Affects Obits (Ohio State

More information

Lab M4: The Torsional Pendulum and Moment of Inertia

Lab M4: The Torsional Pendulum and Moment of Inertia M4.1 Lab M4: The Tosional Pendulum and Moment of netia ntoduction A tosional pendulum, o tosional oscillato, consists of a disk-like mass suspended fom a thin od o wie. When the mass is twisted about the

More information

Gauss Law. Physics 231 Lecture 2-1

Gauss Law. Physics 231 Lecture 2-1 Gauss Law Physics 31 Lectue -1 lectic Field Lines The numbe of field lines, also known as lines of foce, ae elated to stength of the electic field Moe appopiately it is the numbe of field lines cossing

More information

Experiment MF Magnetic Force

Experiment MF Magnetic Force Expeiment MF Magnetic Foce Intoduction The magnetic foce on a cuent-caying conducto is basic to evey electic moto -- tuning the hands of electic watches and clocks, tanspoting tape in Walkmans, stating

More information

Episode 401: Newton s law of universal gravitation

Episode 401: Newton s law of universal gravitation Episode 401: Newton s law of univesal gavitation This episode intoduces Newton s law of univesal gavitation fo point masses, and fo spheical masses, and gets students pactising calculations of the foce

More information

2 r2 θ = r2 t. (3.59) The equal area law is the statement that the term in parentheses,

2 r2 θ = r2 t. (3.59) The equal area law is the statement that the term in parentheses, 3.4. KEPLER S LAWS 145 3.4 Keple s laws You ae familia with the idea that one can solve some mechanics poblems using only consevation of enegy and (linea) momentum. Thus, some of what we see as objects

More information

Problems of the 2 nd and 9 th International Physics Olympiads (Budapest, Hungary, 1968 and 1976)

Problems of the 2 nd and 9 th International Physics Olympiads (Budapest, Hungary, 1968 and 1976) Poblems of the nd and 9 th Intenational Physics Olympiads (Budapest Hungay 968 and 976) Péte Vankó Institute of Physics Budapest Univesity of Technology and Economics Budapest Hungay Abstact Afte a shot

More information

Phys 2101 Gabriela González. cos. sin. sin

Phys 2101 Gabriela González. cos. sin. sin 1 Phys 101 Gabiela González a m t t ma ma m m T α φ ω φ sin cos α τ α φ τ sin m m α τ I We know all of that aleady!! 3 The figue shows the massive shield doo at a neuton test facility at Lawence Livemoe

More information

4a 4ab b 4 2 4 2 5 5 16 40 25. 5.6 10 6 (count number of places from first non-zero digit to

4a 4ab b 4 2 4 2 5 5 16 40 25. 5.6 10 6 (count number of places from first non-zero digit to . Simplify: 0 4 ( 8) 0 64 ( 8) 0 ( 8) = (Ode of opeations fom left to ight: Paenthesis, Exponents, Multiplication, Division, Addition Subtaction). Simplify: (a 4) + (a ) (a+) = a 4 + a 0 a = a 7. Evaluate

More information

Gravity. A. Law of Gravity. Gravity. Physics: Mechanics. A. The Law of Gravity. Dr. Bill Pezzaglia. B. Gravitational Field. C.

Gravity. A. Law of Gravity. Gravity. Physics: Mechanics. A. The Law of Gravity. Dr. Bill Pezzaglia. B. Gravitational Field. C. Physics: Mechanics 1 Gavity D. Bill Pezzaglia A. The Law of Gavity Gavity B. Gavitational Field C. Tides Updated: 01Jul09 A. Law of Gavity 3 1a. Invese Squae Law 4 1. Invese Squae Law. Newton s 4 th law

More information

Solutions for Physics 1301 Course Review (Problems 10 through 18)

Solutions for Physics 1301 Course Review (Problems 10 through 18) Solutions fo Physics 1301 Couse Review (Poblems 10 though 18) 10) a) When the bicycle wheel comes into contact with the step, thee ae fou foces acting on it at that moment: its own weight, Mg ; the nomal

More information

VISCOSITY OF BIO-DIESEL FUELS

VISCOSITY OF BIO-DIESEL FUELS VISCOSITY OF BIO-DIESEL FUELS One of the key assumptions fo ideal gases is that the motion of a given paticle is independent of any othe paticles in the system. With this assumption in place, one can use

More information

TORQUE AND ANGULAR MOMENTUM IN CIRCULAR MOTION

TORQUE AND ANGULAR MOMENTUM IN CIRCULAR MOTION MISN-0-34 TORQUE AND ANGULAR MOMENTUM IN CIRCULAR MOTION shaft TORQUE AND ANGULAR MOMENTUM IN CIRCULAR MOTION by Kiby Mogan, Chalotte, Michigan 1. Intoduction..............................................

More information

Physics 235 Chapter 5. Chapter 5 Gravitation

Physics 235 Chapter 5. Chapter 5 Gravitation Chapte 5 Gavitation In this Chapte we will eview the popeties of the gavitational foce. The gavitational foce has been discussed in geat detail in you intoductoy physics couses, and we will pimaily focus

More information

Carter-Penrose diagrams and black holes

Carter-Penrose diagrams and black holes Cate-Penose diagams and black holes Ewa Felinska The basic intoduction to the method of building Penose diagams has been pesented, stating with obtaining a Penose diagam fom Minkowski space. An example

More information

F G r. Don't confuse G with g: "Big G" and "little g" are totally different things.

F G r. Don't confuse G with g: Big G and little g are totally different things. G-1 Gavity Newton's Univesal Law of Gavitation (fist stated by Newton): any two masses m 1 and m exet an attactive gavitational foce on each othe accoding to m m G 1 This applies to all masses, not just

More information

Charges, Coulomb s Law, and Electric Fields

Charges, Coulomb s Law, and Electric Fields Q&E -1 Chages, Coulomb s Law, and Electic ields Some expeimental facts: Expeimental fact 1: Electic chage comes in two types, which we call (+) and ( ). An atom consists of a heavy (+) chaged nucleus suounded

More information

Displacement, Velocity And Acceleration

Displacement, Velocity And Acceleration Displacement, Velocity And Acceleation Vectos and Scalas Position Vectos Displacement Speed and Velocity Acceleation Complete Motion Diagams Outline Scala vs. Vecto Scalas vs. vectos Scala : a eal numbe,

More information

Structure and evolution of circumstellar disks during the early phase of accretion from a parent cloud

Structure and evolution of circumstellar disks during the early phase of accretion from a parent cloud Cente fo Tubulence Reseach Annual Reseach Biefs 2001 209 Stuctue and evolution of cicumstella disks duing the ealy phase of accetion fom a paent cloud By Olusola C. Idowu 1. Motivation and Backgound The

More information

Multiple choice questions [60 points]

Multiple choice questions [60 points] 1 Multiple choice questions [60 points] Answe all o the ollowing questions. Read each question caeully. Fill the coect bubble on you scanton sheet. Each question has exactly one coect answe. All questions

More information

2. Orbital dynamics and tides

2. Orbital dynamics and tides 2. Obital dynamics and tides 2.1 The two-body poblem This efes to the mutual gavitational inteaction of two bodies. An exact mathematical solution is possible and staightfowad. In the case that one body

More information

Physics HSC Course Stage 6. Space. Part 1: Earth s gravitational field

Physics HSC Course Stage 6. Space. Part 1: Earth s gravitational field Physics HSC Couse Stage 6 Space Pat 1: Eath s gavitational field Contents Intoduction... Weight... 4 The value of g... 7 Measuing g...8 Vaiations in g...11 Calculating g and W...13 You weight on othe

More information

www.sakshieducation.com

www.sakshieducation.com Viscosity. The popety of viscosity in gas is due to ) Cohesive foces between the moecues ) Coisions between the moecues ) Not having a definite voume ) Not having a definite size. When tempeatue is inceased

More information

Chapter 17 The Kepler Problem: Planetary Mechanics and the Bohr Atom

Chapter 17 The Kepler Problem: Planetary Mechanics and the Bohr Atom Chapte 7 The Keple Poblem: Planetay Mechanics and the Boh Atom Keple s Laws: Each planet moves in an ellipse with the sun at one focus. The adius vecto fom the sun to a planet sweeps out equal aeas in

More information

The force between electric charges. Comparing gravity and the interaction between charges. Coulomb s Law. Forces between two charges

The force between electric charges. Comparing gravity and the interaction between charges. Coulomb s Law. Forces between two charges The foce between electic chages Coulomb s Law Two chaged objects, of chage q and Q, sepaated by a distance, exet a foce on one anothe. The magnitude of this foce is given by: kqq Coulomb s Law: F whee

More information

Chapter 2. Electrostatics

Chapter 2. Electrostatics Chapte. Electostatics.. The Electostatic Field To calculate the foce exeted by some electic chages,,, 3,... (the souce chages) on anothe chage Q (the test chage) we can use the pinciple of supeposition.

More information

Gravitation and Kepler s Laws Newton s Law of Universal Gravitation in vectorial. Gm 1 m 2. r 2

Gravitation and Kepler s Laws Newton s Law of Universal Gravitation in vectorial. Gm 1 m 2. r 2 F Gm Gavitation and Keple s Laws Newton s Law of Univesal Gavitation in vectoial fom: F 12 21 Gm 1 m 2 12 2 ˆ 12 whee the hat (ˆ) denotes a unit vecto as usual. Gavity obeys the supeposition pinciple,

More information

NUCLEAR MAGNETIC RESONANCE

NUCLEAR MAGNETIC RESONANCE 19 Jul 04 NMR.1 NUCLEAR MAGNETIC RESONANCE In this expeiment the phenomenon of nuclea magnetic esonance will be used as the basis fo a method to accuately measue magnetic field stength, and to study magnetic

More information

TECHNICAL DATA. JIS (Japanese Industrial Standard) Screw Thread. Specifications

TECHNICAL DATA. JIS (Japanese Industrial Standard) Screw Thread. Specifications JIS (Japanese Industial Standad) Scew Thead Specifications TECNICAL DATA Note: Although these specifications ae based on JIS they also apply to and DIN s. Some comments added by Mayland Metics Coutesy

More information

Chapter 30: Magnetic Fields Due to Currents

Chapter 30: Magnetic Fields Due to Currents d Chapte 3: Magnetic Field Due to Cuent A moving electic chage ceate a magnetic field. One of the moe pactical way of geneating a lage magnetic field (.1-1 T) i to ue a lage cuent flowing though a wie.

More information

Analytical Proof of Newton's Force Laws

Analytical Proof of Newton's Force Laws Analytical Poof of Newton s Foce Laws Page 1 1 Intouction Analytical Poof of Newton's Foce Laws Many stuents intuitively assume that Newton's inetial an gavitational foce laws, F = ma an Mm F = G, ae tue

More information

Figure 2. So it is very likely that the Babylonians attributed 60 units to each side of the hexagon. Its resulting perimeter would then be 360!

Figure 2. So it is very likely that the Babylonians attributed 60 units to each side of the hexagon. Its resulting perimeter would then be 360! 1. What ae angles? Last time, we looked at how the Geeks intepeted measument of lengths. Howeve, as fascinated as they wee with geomety, thee was a shape that was much moe enticing than any othe : the

More information

Multiple choice questions [70 points]

Multiple choice questions [70 points] Multiple choice questions [70 points] Answe all of the following questions. Read each question caefull. Fill the coect bubble on ou scanton sheet. Each question has exactl one coect answe. All questions

More information

Lesson 7 Gauss s Law and Electric Fields

Lesson 7 Gauss s Law and Electric Fields Lesson 7 Gauss s Law and Electic Fields Lawence B. Rees 7. You may make a single copy of this document fo pesonal use without witten pemission. 7. Intoduction While it is impotant to gain a solid conceptual

More information

Lab #7: Energy Conservation

Lab #7: Energy Conservation Lab #7: Enegy Consevation Photo by Kallin http://www.bungeezone.com/pics/kallin.shtml Reading Assignment: Chapte 7 Sections 1,, 3, 5, 6 Chapte 8 Sections 1-4 Intoduction: Pehaps one of the most unusual

More information

Chapter 19: Electric Charges, Forces, and Fields ( ) ( 6 )( 6

Chapter 19: Electric Charges, Forces, and Fields ( ) ( 6 )( 6 Chapte 9 lectic Chages, Foces, an Fiels 6 9. One in a million (0 ) ogen molecules in a containe has lost an electon. We assume that the lost electons have been emove fom the gas altogethe. Fin the numbe

More information

CRRC-1 Method #1: Standard Practice for Measuring Solar Reflectance of a Flat, Opaque, and Heterogeneous Surface Using a Portable Solar Reflectometer

CRRC-1 Method #1: Standard Practice for Measuring Solar Reflectance of a Flat, Opaque, and Heterogeneous Surface Using a Portable Solar Reflectometer CRRC- Method #: Standad Pactice fo Measuing Sola Reflectance of a Flat, Opaque, and Heteogeneous Suface Using a Potable Sola Reflectomete Scope This standad pactice coves a technique fo estimating the

More information

10. Collisions. Before During After

10. Collisions. Before During After 10. Collisions Use conseation of momentum and enegy and the cente of mass to undestand collisions between two objects. Duing a collision, two o moe objects exet a foce on one anothe fo a shot time: -F(t)

More information

Fluids Lecture 15 Notes

Fluids Lecture 15 Notes Fluids Lectue 15 Notes 1. Unifom flow, Souces, Sinks, Doublets Reading: Andeson 3.9 3.12 Unifom Flow Definition A unifom flow consists of a velocit field whee V = uî + vĵ is a constant. In 2-D, this velocit

More information

Motion Control Formulas

Motion Control Formulas ems: A = acceleation ate {in/sec } C = caiage thust foce {oz} D = deceleation ate {in/sec } d = lead of scew {in/ev} e = lead scew efficiency ball scew 90% F = total fictional foce {oz} GR = gea atio J

More information

Chapter 4: Fluid Kinematics

Chapter 4: Fluid Kinematics Oveview Fluid kinematics deals with the motion of fluids without consideing the foces and moments which ceate the motion. Items discussed in this Chapte. Mateial deivative and its elationship to Lagangian

More information

Model Question Paper Mathematics Class XII

Model Question Paper Mathematics Class XII Model Question Pape Mathematics Class XII Time Allowed : 3 hous Maks: 100 Ma: Geneal Instuctions (i) The question pape consists of thee pats A, B and C. Each question of each pat is compulsoy. (ii) Pat

More information

An Introduction to Omega

An Introduction to Omega An Intoduction to Omega Con Keating and William F. Shadwick These distibutions have the same mean and vaiance. Ae you indiffeent to thei isk-ewad chaacteistics? The Finance Development Cente 2002 1 Fom

More information

GAUSS S LAW APPLIED TO CYLINDRICAL AND PLANAR CHARGE DISTRIBUTIONS ` E MISN-0-133. CHARGE DISTRIBUTIONS by Peter Signell, Michigan State University

GAUSS S LAW APPLIED TO CYLINDRICAL AND PLANAR CHARGE DISTRIBUTIONS ` E MISN-0-133. CHARGE DISTRIBUTIONS by Peter Signell, Michigan State University MISN-0-133 GAUSS S LAW APPLIED TO CYLINDRICAL AND PLANAR CHARGE DISTRIBUTIONS GAUSS S LAW APPLIED TO CYLINDRICAL AND PLANAR CHARGE DISTRIBUTIONS by Pete Signell, Michigan State Univesity 1. Intoduction..............................................

More information

Quantity Formula Meaning of variables. 5 C 1 32 F 5 degrees Fahrenheit, 1 bh A 5 area, b 5 base, h 5 height. P 5 2l 1 2w

Quantity Formula Meaning of variables. 5 C 1 32 F 5 degrees Fahrenheit, 1 bh A 5 area, b 5 base, h 5 height. P 5 2l 1 2w 1.4 Rewite Fomulas and Equations Befoe You solved equations. Now You will ewite and evaluate fomulas and equations. Why? So you can apply geometic fomulas, as in Ex. 36. Key Vocabulay fomula solve fo a

More information

Lecture 16: Color and Intensity. and he made him a coat of many colours. Genesis 37:3

Lecture 16: Color and Intensity. and he made him a coat of many colours. Genesis 37:3 Lectue 16: Colo and Intensity and he made him a coat of many colous. Genesis 37:3 1. Intoduction To display a pictue using Compute Gaphics, we need to compute the colo and intensity of the light at each

More information

The Gravity Field of the Earth - Part 1 (Copyright 2002, David T. Sandwell)

The Gravity Field of the Earth - Part 1 (Copyright 2002, David T. Sandwell) 1 The Gavity Field of the Eath - Pat 1 (Copyight 00, David T. Sandwell) This chapte coves physical geodesy - the shape of the Eath and its gavity field. This is just electostatic theoy applied to the Eath.

More information

AN IMPLEMENTATION OF BINARY AND FLOATING POINT CHROMOSOME REPRESENTATION IN GENETIC ALGORITHM

AN IMPLEMENTATION OF BINARY AND FLOATING POINT CHROMOSOME REPRESENTATION IN GENETIC ALGORITHM AN IMPLEMENTATION OF BINARY AND FLOATING POINT CHROMOSOME REPRESENTATION IN GENETIC ALGORITHM Main Golub Faculty of Electical Engineeing and Computing, Univesity of Zageb Depatment of Electonics, Micoelectonics,

More information

8.4. Motion of Charged Particles in Magnetic Fields

8.4. Motion of Charged Particles in Magnetic Fields Motion of Chaged Paticles in Magnetic Fields Atos and olecules ae paticles that ae the building blocks of ou uniese. How do scientists study the natue of these sall paticles? The ass spectoete shown in

More information

Multiband Microstrip Patch Antenna for Microwave Applications

Multiband Microstrip Patch Antenna for Microwave Applications IOSR Jounal of Electonics and Communication Engineeing (IOSR-JECE) ISSN: 2278-2834, ISBN: 2278-8735. Volume 3, Issue 5 (Sep. - Oct. 2012), PP 43-48 Multiband Micostip Patch Antenna fo Micowave Applications

More information

Chapter 4: Fluid Kinematics

Chapter 4: Fluid Kinematics 4-1 Lagangian g and Euleian Desciptions 4-2 Fundamentals of Flow Visualization 4-3 Kinematic Desciption 4-4 Reynolds Tanspot Theoem (RTT) 4-1 Lagangian and Euleian Desciptions (1) Lagangian desciption

More information

DIFFERENT TYPES OF HUMAN HEAD SHAPES FOR CELLULAR PHONE EXPOSURE ON ELECTROMAGNETIC ABSORPTION

DIFFERENT TYPES OF HUMAN HEAD SHAPES FOR CELLULAR PHONE EXPOSURE ON ELECTROMAGNETIC ABSORPTION DIFFERENT TYPES OF HUMAN HEAD SHAPES FOR CELLULAR PHONE EXPOSURE ON ELECTROMAGNETIC ABSORPTION Mohammad Rashed Iqbal Fauque* #1, Mohammad Taiqul Islam* 2, Nobahiah Misan* #3 * Institute of Space Science

More information

Dipole moments 1 2.10 DETERMINATION OF DIPOLE MOMENT FROM RELATIVE PERMITTIVITY AND REFRACTIVE INDEX. Plates applying external electric field

Dipole moments 1 2.10 DETERMINATION OF DIPOLE MOMENT FROM RELATIVE PERMITTIVITY AND REFRACTIVE INDEX. Plates applying external electric field Dipole moments 1.10 DETERMINATION OF DIPOLE MOMENT FROM RELATIVE PERMITTIVITY AND REFRACTIVE INDEX (4 points) Plates applying extenal electic field Suface chages on dielectic block Figue 1. Polaization

More information

1D STEADY STATE HEAT

1D STEADY STATE HEAT D SEADY SAE HEA CONDUCION () Pabal alukda Aociate Pofeo Depatment of Mecanical Engineeing II Deli E-mail: pabal@mec.iitd.ac.in Palukda/Mec-IID emal Contact eitance empeatue ditibution and eat flow line

More information

Spirotechnics! September 7, 2011. Amanda Zeringue, Michael Spannuth and Amanda Zeringue Dierential Geometry Project

Spirotechnics! September 7, 2011. Amanda Zeringue, Michael Spannuth and Amanda Zeringue Dierential Geometry Project Spiotechnics! Septembe 7, 2011 Amanda Zeingue, Michael Spannuth and Amanda Zeingue Dieential Geomety Poject 1 The Beginning The geneal consensus of ou goup began with one thought: Spiogaphs ae awesome.

More information

Electrostatic properties of conductors and dielectrics

Electrostatic properties of conductors and dielectrics Unit Electostatic popeties of conductos and dielectics. Intoduction. Dielectic beaking. onducto in electostatic equilibium..3 Gound connection.4 Phenomena of electostatic influence. Electostatic shields.5

More information

Financing Terms in the EOQ Model

Financing Terms in the EOQ Model Financing Tems in the EOQ Model Habone W. Stuat, J. Columbia Business School New Yok, NY 1007 hws7@columbia.edu August 6, 004 1 Intoduction This note discusses two tems that ae often omitted fom the standad

More information

Chapter 3 Savings, Present Value and Ricardian Equivalence

Chapter 3 Savings, Present Value and Ricardian Equivalence Chapte 3 Savings, Pesent Value and Ricadian Equivalence Chapte Oveview In the pevious chapte we studied the decision of households to supply hous to the labo maket. This decision was a static decision,

More information

Skills Needed for Success in Calculus 1

Skills Needed for Success in Calculus 1 Skills Needed fo Success in Calculus Thee is much appehension fom students taking Calculus. It seems that fo man people, "Calculus" is snonmous with "difficult." Howeve, an teache of Calculus will tell

More information

Mechanics 1: Motion in a Central Force Field

Mechanics 1: Motion in a Central Force Field Mechanics : Motion in a Cental Foce Field We now stud the popeties of a paticle of (constant) ass oving in a paticula tpe of foce field, a cental foce field. Cental foces ae ve ipotant in phsics and engineeing.

More information

Gravitational Mechanics of the Mars-Phobos System: Comparing Methods of Orbital Dynamics Modeling for Exploratory Mission Planning

Gravitational Mechanics of the Mars-Phobos System: Comparing Methods of Orbital Dynamics Modeling for Exploratory Mission Planning Gavitational Mechanics of the Mas-Phobos System: Compaing Methods of Obital Dynamics Modeling fo Exploatoy Mission Planning Alfedo C. Itualde The Pennsylvania State Univesity, Univesity Pak, PA, 6802 This

More information

DYNAMICS AND STRUCTURAL LOADING IN WIND TURBINES

DYNAMICS AND STRUCTURAL LOADING IN WIND TURBINES DYNAMIS AND STRUTURAL LOADING IN WIND TURBINES M. Ragheb 12/30/2008 INTRODUTION The loading egimes to which wind tubines ae subject to ae extemely complex equiing special attention in thei design, opeation

More information

A r. (Can you see that this just gives the formula we had above?)

A r. (Can you see that this just gives the formula we had above?) 24-1 (SJP, Phys 1120) lectic flux, and Gauss' law Finding the lectic field due to a bunch of chages is KY! Once you know, you know the foce on any chage you put down - you can pedict (o contol) motion

More information

CHAPTER 5 GRAVITATIONAL FIELD AND POTENTIAL

CHAPTER 5 GRAVITATIONAL FIELD AND POTENTIAL CHATER 5 GRAVITATIONAL FIELD AND OTENTIAL 5. Intoduction. This chapte deals with the calculation of gavitational fields and potentials in the vicinity of vaious shapes and sizes of massive bodies. The

More information

Coordinate Systems L. M. Kalnins, March 2009

Coordinate Systems L. M. Kalnins, March 2009 Coodinate Sstems L. M. Kalnins, Mach 2009 Pupose of a Coodinate Sstem The pupose of a coodinate sstem is to uniquel detemine the position of an object o data point in space. B space we ma liteall mean

More information

Chapte 3 Is Gavitation A Results Of Asymmetic Coulomb Chage Inteactions? Jounal of Undegaduate Reseach èjurè Univesity of Utah è1992è, Vol. 3, No. 1, pp. 56í61. Jeæey F. Gold Depatment of Physics, Depatment

More information

Supplementary Material for EpiDiff

Supplementary Material for EpiDiff Supplementay Mateial fo EpiDiff Supplementay Text S1. Pocessing of aw chomatin modification data In ode to obtain the chomatin modification levels in each of the egions submitted by the use QDCMR module

More information

Design of Wind Energy System on the Building Tower Applications

Design of Wind Energy System on the Building Tower Applications ISSN(Online): 39-8753 ISSN (Pint) :347-67 (An ISO 397: 7 Cetified Oganization) Vol. 4, Issue, Febuay 5 Design of Wind Enegy System on the Building owe Applications D.Anusha, L V Suesh Kuma, G.V. Nagesh

More information

Exam in physics, El-grunder (Electromagnetism), 2014-03-26, kl 9.00-15.00

Exam in physics, El-grunder (Electromagnetism), 2014-03-26, kl 9.00-15.00 Umeå Univesitet, Fysik 1 Vitly Bychkov Em in physics, El-gunde (Electomgnetism, 14--6, kl 9.-15. Hjälpmedel: Students my use ny book(s. Mino notes in the books e lso llowed. Students my not use thei lectue

More information

3 Molecules in Electric and Magnetic Fields

3 Molecules in Electric and Magnetic Fields Chapte, page Molecules in Electic and Magnetic Fields. Basic Equations fom Electodynamics The basis of the desciption of the behaviou of molecules in electic and magnetic fields ae the mateial equations

More information

Epdf Sulf petroleum, Eflecti and Eeflecti

Epdf Sulf petroleum, Eflecti and Eeflecti ANALYSIS OF GLOBAL WARMING MITIGATION BY WHITE REFLECTING SURFACES Fedeico Rossi, Andea Nicolini Univesity of Peugia, CIRIAF Via G.Duanti 67 0615 Peugia, Italy T: +9-075-585846; F: +9-075-5848470; E: fossi@unipg.it

More information

Physics Core Topic 9.2 Space

Physics Core Topic 9.2 Space Physics 9. Space Syllabus Notes Physics Coe Topic 9. Space Summay of Contextual Outline Scientists daw on othe aeas of science to deelop iable spacecaft Launch, e enty and landing ae dangeous Huge foces

More information

THERMAL ISOLATION TECHNIQUES FOR CURE MONITORING USING FBG OPTICAL SENSORS

THERMAL ISOLATION TECHNIQUES FOR CURE MONITORING USING FBG OPTICAL SENSORS THERMAL OLATION TECHNIQUES FOR CURE MONITORING USING FBG OPTICAL SENSORS E.K.G. Boateng, P.J. Schubel, N.A. Waio Polyme Composites Goup Division of Mateials, Mechanics and Stuctues Faculty of Engineeing

More information

Molecular Dynamics Simulations and Neutron Scattering: Polymer Melt and Solution Dynamics

Molecular Dynamics Simulations and Neutron Scattering: Polymer Melt and Solution Dynamics Molecula Dynamics Simulations and Neuton Scatteing: Polyme Melt and Solution Dynamics Gant D. Smith Depatment of Mateials Science and Engineeing Univesity of Utah Polyme Dynamics and Relaxation Richad

More information

NURBS Drawing Week 5, Lecture 10

NURBS Drawing Week 5, Lecture 10 CS 43/585 Compute Gaphics I NURBS Dawing Week 5, Lectue 1 David Been, William Regli and Maim Pesakhov Geometic and Intelligent Computing Laboato Depatment of Compute Science Deel Univesit http://gicl.cs.deel.edu

More information

Advanced Control of Active Filters. in a Battery Charger Application. Martin Bojrup

Advanced Control of Active Filters. in a Battery Charger Application. Martin Bojrup Advanced Contol of Active Filtes in a Battey Chage Application Matin Bojup Lund 999 ii Cove pictue Measuement on the dynamic esponse of the MRI hamonic filte contolle: load cuent (top), esulting line cuent

More information

Moment and couple. In 3-D, because the determination of the distance can be tedious, a vector approach becomes advantageous. r r

Moment and couple. In 3-D, because the determination of the distance can be tedious, a vector approach becomes advantageous. r r Moment and couple In 3-D, because the detemination of the distance can be tedious, a vecto appoach becomes advantageous. o k j i M k j i M o ) ( ) ( ) ( + + M o M + + + + M M + O A Moment about an abita

More information