AIPMT Physics 2008

aipmt–Past papers PHYSICS- UNSOLVED PAPER - 2008

SECTION – I (Total Marks : 50) Single Correct Answer Type There are five parts in this question. Four choices are given for each part and one of them is correct. Indicate you choice of the correct answer for each part in your answer-book by writing the letter (a), (b), (c) or (d) whichever is appropriate

01 Problem A particle of arms m is projected with velocity v making an angle of 45° with the horizontal. Ehen the particle lands on the level ground the magnitude of the change in the momentum will be mv√2 Zero 2mv Mv/√2

Problem 02 A long solenoid has 500 turns. When a current of 2 ampere is passed trough it, the resulting magnetic flux liked with each turn of the solenoid is Wb. The self- inductance of the solenoid is henry henry 2.5 henry 2.0 henry

Problem 03 A particle of mass m, charge Q & kinetic energy T enters a transverse uniform magnetic field of induction . After 3 seconds the kinetic energy of the particle will be T 4T 3T 2T

Problem 04 The distance travel by a particle starting from rest & moving with acceleration 4/3 ms-2, in the third second is 10/3 m 19/3 m 6 m 4 m

Problem 05 A particle of mass 1mg has the same wavelength as an electron moving with a velocity of3x106ms-1. The velocity of the particle is 3x10-31m/s-1 2.7x10-21m/s-1 2.7x10-18m/s-1 9x10-2m/s-1

Problem 06 Sand is been dropped on a conveyer belt at the rate of M kg/s. the force necessary to keep the belt moving with a constant velocity of v m/s will be Mv/2 neutron Zero Mv neutron Mv neutron

Problem 07 A thin conducting ring of radius R is given by a charge +Q. the electric field at the center O of the ring is due to the charge on the part AKB of the ring is E. the electric field at the center due to the charge on the part ACDB of the ring is fig E along KO 3E along OK 3E along KO E along OK

Problem 08 Two nuclei have there mass number in the ratio of 1:3. The ratio of the nuclear densities would be (3)1/2:1 1:1 1:3 3:1

Problem 09 If M (A;Z), MP& Mn denote the masses of the nucleus , proton & neutron respectively in units of u ( 1u=931.5 Mev/c2) & BE represent its bonding energy in MeV , then M(A,Z)=ZMP+(A-Z)Mn-BE M(A,Z)=ZMP+(A-Z)Mn-BE/c2 M(A,Z)=ZMP+(A-Z)Mn+BE/c2 M(A,Z)=ZMP+(A-Z)Mn+BE

Problem 10 A particle moves in a straight line with a constant acceleration. It changes its velocity from 10m/s-1 to 20m/s-1while passing through a distance 135m in t second. The value of t is 12 9 10 1.8

Problem 11 A particle shows distance- time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point D A B C

Problem 12 An electric kettle takes 4 A current at 2220V. How much time will it take to boil 1 kg of water from temperature 200c? The temperature of boiling water is 1000c 12.6 min 4.2 min 6.3 min 8.4 min

Problem 13 In the phenomenon of the electric discharge through gases at low pressure, the coloured glow in the tube appear as the result of Collision between the charged particles emitted from the cathode & the atom of the gas Collision between the different electrons of the atoms of the gas Excitation of electrons of the atoms Collision between of the atoms of the gas

Problem 14 The circuit is equivalent to? NOR gate OR gate AND gate NAND gate

Problem 15 If the error of the measurement of the radius of a sphear is 2%, then the error in the determination of volume of the sphere will be 8% 2% 4% 6%

Problem 16 A thin road of length L & mass M is bent at its midpoint into two halves so that the angle between them is 900. The moment of inertia of the bend rod about an axis passing through the bending point & perpendicular to the plane defined by the two halves of the rod is ML2/6 √2 ML2/24 ML2/24 ML2/12

Problem 17 A p-n photodiode is made of a material with a band gap of 2.0eV. The minimum frequency of the radiation that can be absorbed by the material is nearly 1X1014Hz 20X1014Hz 10X1014Hz 5X1014Hz

Problem 18 Two periodic wave of intensities pas through a region at the same time in the same direction. The sum of the maximum & minimum intensities is (√I1-√I2)2 2(√I1-√I2) I1+I2 (√I1-√I2)2

Problem 19 If Q, E & W denote respectively the heat added, change in internal energy & the work done in a closed cycle processes, then E=0 Q=0 W=0 Q=W=0

Problem 20 In the circuit shown, the current through the 4 resistor is 1 amp when the point P & M are connected to a d.c. voltage source. The potential difference between the point M & N is 0.5 volt 3.2 volt 1.5 volt volt

Problem 21 On a new scale of temperature & called the W scale , the freezing & boiling points of water are 390W&2390W respectively. What will be the temperature on the new scale, corresponding to a temperature of 390on the Celsius scale? 2000W 1390W 780W 1170W

Problem 22 The wave described by y=0.25 sin (10πx - 2πt), where x & y are in meter & t in seconds, is a wave travelling along the +ve x direction with frequency 1 Hz & wavelength 0.2m -ve x direction with amplitude 0.25m & wavelength 0.2m -ve x direction with frequency 1 Hz +ve x direction with frequency πHz & wavelength λ= 0.2m

Problem 23 The electrical potential at appoint in free space due to charge Q coulomb is Qx1011volts.. The electric field at that point is 4nE0Qx1020volts/m 12nE0Qx1022volts/m 4nE0Qx1022volts/m 12nE0Qx1020volts/m

Problem 24 The velocity of an electromagnetic radiation is an medium of permittivity Є0 & permeability μ0 is given by 1/√μ0Є0 √μ0/Є0 √Є0/ μ0 √μ0Є0

Problem 25 Two points are located at a distance of 10m & 15m from the source of oscillation. The period of oscillation is 0.05sec & the velocity of the waves 300m/sec. what is the phase difference between the oscillation of two points? π π/6 π/3 2π/3

Problem 26 Two simple harmonic motions of angular frequency 100 & 1000 rad s-1 have the same displacement amplitude. The ratio of there maximum acceleration is 1:103 1:104 1: 10 1:102

Problem 27 If the lattice parameter for a crystalline structure is 3.6 Å, than the atomic radius in fcc crystal is 2.92Å 1.27Å 1.81Å 2.10Å

Problem 28 Water falls from a height of 60m at the ratio of 15kg/s to operate a turbine. The losses due to fractional forces are 10% of energy. How much power is generated by the turbine? (g= 10m/m/s2) 12.3 KW KW 8.1 KW 10.2 KW

Problem 29 The energy require to charge a parallel plate condenser of plate separation d & plate area of cross-section A such that the uniform electric field between the plates E, is Є0E0Ad 1/2Є0E0Ad 1/2Є0E0/Ad Є0E0/Ad

Problem 30 A boy is trying to start a fire by focusing sunlight on a piece of paper using an equiconvex lens of focal length 10cm. the diameter of the sun is 1.39x109m& its mean distance from the earth is 1.5x1011m. what is the diameter of the sun’s image on the paper ? 6.5x10-5m 12.4x104m 9.2x10-4m 6.5x10-4m

Problem 31 A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR & RQ are F1,F2&F3 respectively & are in plane of the paper & along the direction shown, the force on the segment QP is √(F3-F1)2-F22 F3-F1+F2 F3-F1-F2 √ (F3-F1)2+F22

Problem 32 A wire of certain material is stretched slowly by 10%. Its new resistance & specific resistance become respectively Both remain the same Times, 1.1 times Times, 1.1 times 1.21 Times, same

Problem 33 Curie temperature above which Paramagnetic material become ferromagnetic material. Ferromagnetic material become diamagnetic material. Ferromagnetic material become Paramagnetic material. Paramagnetic material become diamagnetic material.

Problem 34 Which of the following five physical parameters have the same dimensions? Energy density Refractive index Dielectric constant Young’s modulus Magnetic field 1 & 4 1&5 2&4 3&5

Problem 35 The ground state energy of hydrogen atom is -13.6 eV . When its electron is in the first excited state, its excitation energy is 10.2 eV 0 3.4 eV 6.8 eV

Problem 36 The voltage gain of an amplifier with 9% negative feedback is 10. The voltage gain without feedback will be 1.25 100 90 10

Problem 37 A galvanometer of resistance 50Ω is connected to a battery of 3V along with a resistance of 2950 Ω is series. A full scale deflection of 30 divisions is obtained in the galvanometer. In order to reduce this deflection to 20divisions, the resistance in series should be 6050Ω 4450Ω 5050Ω 5550Ω

Problem 38 A shell of mass 200 gm is ejected from a gun of mass 4kg by an explosion that generates 1.05kJ of energy. The initial velocity of shell is 40ms-1 120ms-1 100ms-1 80ms-1

Problem 39 In an a.c circuit the e.m.f.(e) & the current(i) at any instant are given respectively by e=E0sinωt,i=I0 sin(ωt-φ). The average power in the circuit over one cycle of a.c. is E0I0/2cosφ E0I0 E0I0/2 E0I0/2sinφ

Problem 40 Three forces acting on a body are shown in the figure. To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed is √3/4N √3N 0.5 N 1.5N

Problem 41 A current of 3 amp. Flows through the 2Ω resistor shown in the circuit. The power dissipated i9n the 5Ω resistor is 1 Watt 5 Watt Watt Watt

Problem 42 Two radioactive materials X1 & X2 have decay constants 5λ & λ respectively. If initially there have the same number of nuclei, then the ratio of the number of nuclei of X1 to that X2 will be 1/e after a time 1/4λ e/λ λ 1/2λ

Problem 43 The work function of a surface of a photosensitive material is 6.2eV. the wavelength of the incident radiation for which the stopping potential is 5 V lies in the Infrared region X-ray region UV region Visible region

Problem 44 A point performs simple harmonic oscillation of period T & the equation of motion is given by X=a sin(ωt+n/6). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity? T/3 T/12 T/8 T/6

Problem 45 Two thin lenses of focal lengths f1&f2are in contact & coaxial. The power of the combination is f1+f2/2 f1+f2/ f1f2 √f1/f2 √f2/f1

Problem 46 At 100c the value of density of a fixed mass of an ideal gas divided by its pressure is x. at 1100c this ratio is 10/110x 283/383x x 383/283x

Problem 47 A roller coaster is designed such that riders experienced “weightlessness” as they go round the top of a hill whose radius of curvature is 20m. The speed of the car at the top of the hill is between 16 m/s& 17 m/s 13 m/s& 14 m/s 14 m/s& 15 m/s 15 m/s& 16 m/s

Problem 48 A circular disc of radius 0.2m is placed in a uniform magnetic field of induction 1/π(wb/m2) in such a way that its axis makes an angle of 600 with . The magnetic flux linked with the disc is 0.08Wb Wb Wb 0.06 Wb

Problem 49 The radio of the radii of gyration of a circular disc of that of a circular ring, each of same mass & radius, around their respective axes is √2:1 √2:√3 √3:√2 1:√2

Problem 50 A cell can be balanced against 110cm &100cm of potentiometer wire, respectively with & without being short circuited through a resistance of 10Ω. Its internal resistance is 2.0Ω 0 1.0Ω 0.5Ω

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AIPMT Physics 2008

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