PHYSICS. AIPMT / NEET 2016 TEST PAPER WITH ANSWER & SOLUTIONS (HELD ON SUNDAY 1 st MAY, 2016)

Transcription

1 PHYSICS CODE - P AIPMT / NEET 6 TEST PAPE WITH ANSWE & SOLUTIONS (HELD ON SUNDAY t MAY, 6). Fro a dic of radiu and a M, a circular hole of diaeter, whoe ri pae through the centre i cut. What i the oent of inertia of the reaining part of the dic about a perpendicular axi, paing through the centre? () 5 M / () M / () M / () 9 M / An. I Total dic M M M eoved M (Ma area) I eoved (about ae Perpendicular axi) M ( / ) + M I eaing dic I Total I eoved M M M M. A quare loop ACD carrying a current i, i placed near and coplanar with a long traight conductor XY carrying a current I, the net force on the loop will be :- () () () () An. Ii Ii IiL IiL Y I X A i L/ L C D L I F A A i F C L F A i (Attractive) I F A i(l). L F AD () C D L ii F CD () F C () and F AD () cancel each other F CD i (epulive) I F CD i(l) L F net ii () ii ii ii (). The agnetic uceptibility i negative for : An. () diaagnetic aterial only () paraagnetic aterial only () ferroagnetic aterial only () paraagnetic and ferroagnetic aterial Magnetic uceptibility it i negative for dia-agnetic aterial only

2 AIPMT-6. A iren eitting a ound of frequency 8 Hz ove away fro an oberver toward a cliff at a peed of 5. Then, the frequency of ound that the oberver hear in the echo reflected fro the cliff i : (Take velocity of ound in air ) () 765 Hz () 8 Hz () 88 Hz () 885 Hz An. 6. In a diffraction pattern due to a ingle lit of width 'a', the firt iniu i oberved at an angle when light of wavelength 5 Å i incident on the lit. The firt econdary axiu i oberved at an angle of : () in () in () in () in Oberver Source 5 / 5. n n V v n v v 5 (8) 8 5 S F 8F 88 Hz A capacitor of F i charged a hown in the diagra. When the witch S i turned to poition, the percentage of it tored energy diipated i: () % () % () 75% () 8% Initial energy tored in capacitor F U i (V) V Final voltage after witch i ON CV V f C C V. V Final energy in both the capacitor U f (C C )V f V. V V.V So energy diipated 8% V For firt inia, in a Firt econdary axia will be at in a in 7. At what height fro the urface of earth the gravitation potential and the value of g are 5. 7 J kg and 6. repectively? Take the radiu of earth a 6 k : () 6 k () 6 k () k () k An. V GM h () GM and g ( h) 6... () dividing () and () 5. ( h) h 9 k o h 6 k 8. Out of the following option which one can be ued to produce a propagating electroagnetic wave? () A charge oving at contant velocity () A tationary charge () A chargele particle () An accelerating charge To generate electoragnetic wave we need accelerating charge particle.

3 9. Two identical charged phere upended fro a coon point by two ale tring of length l, are initially at a ditance d (d << l ) apart becaue of their utual repulion. The charge begin to leak fro both the phere at a contant rate. A a reult, the ph ere approach each o ther wit h a velocity v. Then v varie a a function of the ditance x between the phere, a : () v x () v x () v x () v x An. tan Kq x g F e g x or x q... () q or x / q... () differentiate eq.(i) w.r.t. tie x dx q dq but dq dt dt dt i contant o x (v) q replace q fro eq. () x (v) x / / or v x. A unifor rope of length L and a hang vertically fro a rigid upport. A block of a i attached to the free end of the rope. A tranvere pule of wavelength i produced at the lower end of the rope. The wavelength of the pule when it reache the top of the rope i. The ratio / i : () () An. T g T ( + )g Velocity T T T T x q () () L T T CODE - P. A refrigerator work between C and C. It i required to reove 6 calorie of heat every econd in order to keep the teperature of the refrigerated pace contant. The power required i: An. (Take cal. Joule) ().65 W ().65 W () 6.5 W () 65 W Q T W T T (Where Q i heat reoved) W 77 W 6.5 joule Power W 6.5 joule 6.5 watt. t ec. An air colun, cloed at one end and open at the other, reonate with a tuning fork when the allet length of the colun i 5 c. The next larger length of the colun reonating with the ae tuning fork i : () 66.7 c () c () 5 c () c An. Firt iniu reonating length for cloed organ pipe 5c Next larger length of air colun 5c. Conider the junction diode a ideal. The value of current flowing through A i : A k +V 6V () A () A () A () A An. Since diode i in forward bia i V ( 6) A

4 AIPMT-6. The charge flowing through a reitance varie with tie t a Q at bt, where a and b are poitive contant. The total heat produced in i: () () An. a 6b a b Q at bt () () a b a b 6. Coefficient of linear expanion of bra and teel rod are and. Length of bra and teel rod are and repectively. If ( ) i aintained ae at all teperature, which one of the following relation hold good? () () () () Change in length for both rod hould be ae i a bt { for i t Fro joule' law of heating dh i dt a / b H (a bt) dt a b (a H bt) b a 6b a b } 5. A black body i at a teperature of 576 K. The energy of radiation eitted by the body at wavelength 5 n i U, at wavelength 5 n i U and that at n i U. Wien' contant, b.88 6 nk. Which of the following i correct? () U () U () U > U () U > U Maxiu aount of eitted radiation correponding to b T 6.88 nk 5 n 576K T T 7. A npn tranitor i connected in coon eitter configuration in a given aplifier. A load reitance of 8 i connected in the collector circuit and the voltage drop acro it i.8 V. If the current aplification factor i.96 and the input reitance of the circuit i 9, the voltage gain and the power gain of the aplifier will repectively be : (),.8 ().69,.8 (), (),.69 An. Given.96 o,.96. Voltage gain for coon eitter configuration L A v. 8 9 i Power gain for coon eitter configuration P v A v Voltage gain for coon bae configuration U A v. L P U Eitted (radiation) 5n 5n n Power gain for coon bae configuration P v A v.96.8 *In the quetion it i aked about coon eitter configuration but we got above anwer for coon bae configuration. Fro the graph U < U > U

5 CODE - P 8. The intenity at the axiu in a Young' double lit experient i I. Ditance between two lit i d 5, where i the wavelength of light ued in the experient. What will be the intenity in front of one of the lit on the creen placed at a ditance D d? () I () Path difference S P S P D d D I D d D D D d d D D x d S O S () I d d 5 d. So, intenity at the deired point i I I co I co I 9. A unifor circular dic of radiu 5 c at ret i free to turn about an axi which i perpendicular to it plane and pae through it centre. It i ubjected to a torque which produce a contant angular acceleration of. rad. It net acceleration in at the end of. i approxiately : () 8. () 7. () 6. (). An. Particle at periphery will have both radial and tangential acceleration a t.5 / + t + rad/ec D () I P. An electron of a and a photon have ae energy E. The ratio of de-roglie wavelength aociated with the i : () E c () () c E () (c being velocity of light) An. For electron e h E E for Photon E pc Ph e h E E E hc c Ph xc E. A dik and a phere of ae radiu but different ae roll off on two inclined plane of the ae altitude and length. Which one of the two object get to the botto of the plane firt? () Dik () Sphere () oth reach at the ae tie () Depend on their ae An. a gin K K for dic ;.5 / hc E a c () / a total a a 8 8/ p c *In thi quetion we have aued the point to be located at periphery of the dic. K for phere ;. 5 a(phere) > a(dic) phere reache firt 5

6 AIPMT-6. The angle of incidence for a ray of light at a refracting urface of a pri i 5. The angle of pri i 6. If the ray uffer iniu deviation through the pri, the angle of iniu deviation and refractive index of the aterial of the pri repectively, are : () 5, (), () 5, (), An. i 5 ; A 6 ; i A A in in A / in 5. in. When an -particle of a '' oving with velocity 'v' bobard on a heavy nucleu of charge 'Ze', it ditance of cloet approach fro the nucleu depend on a : () () () () An. At cloet ditance of approach, the kinetic energy of the particle will convert copletely into electrotatic potential energy. KQq v d d. A particle of a g ove along a circle of radiu 6. c with a cont ant tangential acceleration. What i the agnitude of thi acceleration if the kinetic energy of the particle becoe equal to 8 J by the end of the econd revolution after the beginning of the otion? (). / ().5 / ().8 / (). / An. v u + a t ( ) 6 6. at 7 a t / 5. The olecule o f a given a o f a ga have r... velocity of at 7 C and. 5 N preure. When the teperature and preure of the ga are repectively, 7 C and.5 5 N, the r... velocity of it olecule in i : () () () () An. v v T v / v / 6. A long traight wire of radiu a carrie a teady current I. The current i uniforly ditributed over it cro-ection. The ratio of the agnetic field and ', at radial ditance a and a repectively, fro the axi of the wire i : () () () () An. For point inide the wire Ir (r ) For point outide the wire I (r ) r according to the quetion v E v 8 v 6 v. / ' I(a / ) a I (a) : Now, 6

7 7. A particle ove o that it poition vector i given by r co t xˆ int y ˆ. Where i a contant. Which of the following i true? () Velocity and acceleration both are perpendicular to r. () Velocity and acceleration both are parallel to r () Velocity i perpendicular to r and acceleration i directed toward the origin () Velocity i perpendicular to r and acceleration i directed away fro the origin An. r co t ˆx in t yˆ v in t xˆ co t yˆ a co t xˆ int yˆ r r.v hence r v a i directed toward the origin. 8. What i the iniu velocity with which a body of a ut enter a vertical loop of radiu o that it can coplete the loop? () g () g () g () 5g When iniu peed of body i 5g, then no atter fro where it enter the loop, it will coplete full vertical loop. 9. When a etallic urface i illuinated with radiation of wavelength, the topping potential i V. If the ae urface i illuinated with radiation of wavelength, the topping potential i V. The threhold wavelength for the etallic urface i :- () () 5 5 () () hc hc ev...(i) hc hc ev/...(ii) Fro equation (i) and (ii) On olving CODE - P. A ga i copreed iotherally to half it initial volue. The ae ga i copreed eparately through an adiabatic proce until it volue i again reduced to half. Then :- () Copreing the ga iotherally will require ore work to be done. () Copreing the ga through adiabatic proce will require ore work to be done. () Co prein g th e ga ioth erally or adiabatically will require the ae aount of work. () Which of the cae (whether copreion through iotheral or through adiabatic proce) require ore work will depend upon the atoicity of the ga. An. P O adiabatic iotheral V V V W ext negative of area with volue-axi W(adiabatic) > W(iotheral). A potentioeter wire i c long and a contant potential difference i aintained acro it. Two cell are connected in erie firt to upport one another and then in oppoite direction. The balance point are obtained at 5 c and c fro the poitive end of the wire in the two cae. The ratio of ef' i :- () 5 : () 5 : () : () : E E 5 E E E 5 E 5 E E 7

8 AIPMT-6. A atronoical telecope ha objective and eyepiece of focal length c and c repectively. To view an object c away fro the objective, the lene ut be eparated by a ditance :- () 7. c () 6. c () 5. c () 5. c Uing len forula for objective len v u f v f u v 5 v 5 c Tube length v + f e c.. Two non-ixing liquid of denitie and n(n > ) are put in a container. The height of each liquid i h. A olid cylinder of length L and denity d i put in thi container. The cylinder float with it axi vertical and length pl(p < ) in the dener liquid. The denity d i equal to :- () { + (n + )p} () { + (n + )p} () { + (n )p} () { + (n )p}. To get output for the following circuit, the correct choice for the input i A C () A,, C () A,, C () A,, C () A,, C (A + ) C C 5. A piece of ice fall fro a height h o that it elt copletely. Only one-quarter of the heat produced i aborbed by the ice and all energy of ice get converted into heat during it fall. The value of h i : [Latent heat of ice i. 5 J/kg and g N/kg] () k () 5 k () 6 k () 68 k An. gh L h L g. 5 Y 6 k. 6. The ratio of ecape velocity at earth ( e ) to the ecape velocity at a planet ( p ) whoe radiu and ean denity are twice a that of earth i :- () : () : n d ( p)l pl An. () : () : L A d g (pl) A (n)g + ( p) L A g Ve GM G. d ( p) + pn [ + (n )p] atio : 8

9 CODE - P 7. If the agnitude of u of two vector i equal to the agnitude of difference of the two vector, the angle between thee vector i :- () () 9 () 5 () 8 An. A A Given the value of ydberg contant i 7, the wave nuber of the lat line of the aler erie in hydrogen pectru will be :- ().5 ().5 7 An. ().5 7 ().5 7 Z n n 7 wave nuber A body of a kg begin to ove under the action of a tie dependent force F (tˆi t ˆj)N, where î and ĵ are unit vector along x and y axi. What power will be developed by the force at the tie t? () (t + t )W () (t + t )W () (t + t )W () (t + t 5 )W F ti ˆ t ˆj dv ti ˆ t ˆj dt ( kg). An inductor H, a capacitor 5 F and a reitor are connected in erie acro a ource of ef V in t. The power lo in A.C. circuit i:- ().5 W ().67 W ().76 W ().89 W An. X C C X L L 6.8 Z (X X ) P C L ( ) r V r i Z / 5.7 W So bet anwer (nearet anwer) will be (). If the velocity of a particle i v At + t, where A and are contant, then the ditance travelled by it between and i :- An. () A 7 () A () A+7 A () dx V At + t At t dt v dv (ti ˆ t ˆj)dt v t ˆi t ˆj t Power F.v (t + t 5 )W x dx (At t )dt A x ( ) ( ) A 7 9

10 AIPMT-6. A long olenoid ha turn. When a current of A flow through it, the agnetic flux linked with each turn of the olenoid i Wb. The elf inductance of the olenoid i :- () H () H () H () H Flux linked with each turn Wb Total flux linked [ ] Wb total L i L H. A all ignal voltage V(t) V in t i applied acro an ideal capacitor C :- () Current I (t), lag voltage V(t) by 9. () Over a full cycle the capacitor C doe not conue any energy fro the voltage ource. () () Current I (t) i in phae with voltage V(t). () Current I (t) lead voltage V(t) by 8. An. () Power V r. I r co a co (ecaue 9 ) Power conued (in one coplete cycle) (). Match the correponding entrie of colun- with coloun- (Where i the agnefication produced by the irror) :- Colun- (A) () Colun- (a) Convex irror (b) Concave irror () A a and d, b and c, C b and d, D b and c () A c and d, b and d, C b and c, D a and d An. +ve virtual iage ve real iage > agnified iage < diinihed iage 5. A car i negotiating a curved road of radiu. The () An. road i banked at an angle. the coefficient of friction between the tyre of the car and the road i. The axiu afe velocity on thi road i :- tan g tan tan g tan g tan tan g tan tan (C) + (D) + (c) eal iage (d) Virtual iage v tan g tan () A b and c, b and c, C b and d, D a and d. () A a and c, a and d, C a and b, D c and d tan v g tan