Aieee physics -2008
- 1. AEEE –Past papersPHYSICS - UNSOLVED PAPER - 2008
- 2. SECTION – IStraight Objective TypeThis section contains multiple choice questions numbered 35 . Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.
- 3. Questions No. 01, 02 and 03 are based on the following paragraphWave property of electrons implies that they will show diffraction effects. Davisson and Germer demonstrated this by diffracting electrons from crystals. The law governing the diffraction from a crystal is obtained byrequiring that electron waves reflected from the planes of atoms in a crystal interfere constructively (see in figure).
- 4. 01ProblemElectrons accelerated by potential V are diffracted from a crystal. If d = 1Å and i = 30°, V should be about (h = 6.6 × 10−34 Js, me = 9.1 × 10−31 kg, e = 1.6 × 10−19 C)2000 V 50 V 500 V 1000 V
- 5. Problem02If a strong diffraction peak is observed when electrons are incident at an angle ‘i’ from the normal to the crystal planes with distance ‘d’ between them (see figure), de Broglie wavelength λdB of electrons can be calculated by the relationship (n is an integer)d sin i = nλdB 2d cosi = nλdB2d sin i = nλdBd cosi = nλdB
- 6. Problem03In an experiment, electrons are made to pass through a narrow slit of width ‘d’ comparable to their de Broglie wavelength. They are detected on a screen at a distance ‘D’ from the slit (see figure). Which of the following graph can be expected to represent the number of electrons ‘N’ detected as a function of the detector position ‘y’(y = 0 corresponds to the middle of the slit)?a.b.c.d.
- 7. Problem04A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is 11 kms−1, the escape velocity from the surface of the planet would be1.1 kms−1 11 kms−1110 kms−1 0.11 kms−1
- 8. Problem05A spherical solid ball of volume V is made of a material of density ρ1. It is falling through a liquid of density ρ2(ρ2 <ρ). Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed v, i.e., Fviscous = −kv2(k>0). The terminal speed of the ball isa.b.c.d.
- 9. Problem06Shown in the figure below is a meter-bridge set up with null deflection in the galvanometer. The value of the unknown resistor R is13.75 Ω 220 Ω110 Ω 55 Ω
- 10. Problem07A thin rod of length ‘L’ is lying along the x-axis with its ends at x = 0 and x = L. Its linear density (mass/length) varies with x as , where n can be zero or any positive number. If the position Xcm of the centre of mass of the rod is plotted against ‘n’, which of the following graphs best approximates the dependence of xCM on n?a.b.C.d.
- 11. Problem08While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of 18 cm during winter. Repeating the same experiment during summer, she measures the column length to be x cm for the second resonance. Then18 > x x >54 54 > x > 36 36 > x > 18
- 12. Problem09The dimension of magnetic field in M, L, T and C (Coulomb) is given asMLT−1C−1 MT2C−2MT−1C−1 MT−2C−1
- 13. Problem10Consider a uniform square plate of side ‘a’ and mass ‘m’. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is5/6 ma2 1/12 ma27/12 ma2 2/3ma2
- 14. Problem11A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms−1. The magnitude of its momentum is recorded as17.6 kg ms−1 17.565 kg ms−117.56 kg ms−1 17.57 kg ms−1
- 15. Problem12An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range200 J − 500 J 2 × 105 J − 3 × 105 J 20,000 J − 50,000 J 2,000 J − 5,000 J
- 16. Problem13A parallel plate capacitor with air between the plates has a capacitance of 9 pF. The separation between its plates is ‘d’. The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant k1 = 3 and thickness d/3 while the other one has dielectric constant k2 = 6 and ckness 2d/3 . Capacitance of the capacitor is now1.8 pF 45 Pf40.5 pF 20.25 pF
- 17. Problem14The speed of sound in oxygen (O2) at a certain temperature is 460 ms−1. The speed of sound in helium (He) at the same temperature will be (assumed both gases to be ideal)460 ms−1 500 ms−1650 ms−1 330 ms−1
- 18. Problem15This question contains Statement -1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.Statement – I: Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion. AndStatement – II: For heavy nuclei, binding energy per nucleon increases with increasing Z while for light nuclei it decrease with increasing Z.Statement – 1is false, Statement – 2 is true.Statement – 1is true, Statement – 2 is true; Statement -2 is correct explanation for Statement-1.Statement – 1is true, Statement – 2 is true; Statement -2 is not a correct explanation for Statement-1.d. Statement – 1 is true, Statement – 2 is False.
- 19. Problem16This question contains Statement -1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.Statement – I: For a mass M kept at the centre of a cube of side ‘a’, the flux of gravitational field passing through its sides is 4π GM. andStatement – II : If the direction of a field due to a point source is radial and its dependence on the distance ‘r’ for the source is given as 1/r2, its flux through a closed surface depends only on the strength of the source enclosed by the surface and not on the size or shape of the surfaceStatement – 1is false, Statement – 2 is true.Statement – 1is true, Statement – 2 is true; Statement -2 is correct explanation for Statement-1.Statement – 1is true, Statement – 2 is true; Statement -2 is not a correct explanation for Statement-1.d. Statement – 1 is true, Statement – 2 is False.
- 20. Problem17A jar filled with two non mixing liquids 1 and 2 having densities ρ1 and ρ2respectively. A solid ball, made of a material of density ρ3, is dropped in thejar. It comes to equilibrium in the position shown in the figure. Which of the following is true for ρ1, ρ2 and ρ3?ρ3 < ρ1 < ρ2 ρ1 < ρ3 < ρ2ρ1 < ρ2 < ρ3 ρ1 < ρ3 < ρ2
- 21. Problem18A working transistor with its three legs marked P, Q and R is tested using a multimeter. No conduction is found between P and Q. By connecting the common (negative) terminal of the multimeter to R and the other (positive) terminal to P or Q, some resistance is seen on the multimeter. Which of the following is true for the transistor?It is an npn transistor with R as base It is a pnp transistor with R as collector It is a pnp transistor with R as emitter It is an npn transistor with R as collector
- 22. Question No. 19 and 20 are based on the following paragraphConsider a block of conducting material of resistivity ‘ρ’ shown in the figure. Current ‘I’ enters at ‘A’ and leaves from ‘D’. We apply superposition principle to find voltage ‘ΔV’ developed between ‘B’ and ‘C’. The calculation is done in the following steps:Take current ‘I’ entering from ‘A’ and assume it to spread over a hemispherical surface in the block.Calculate field E(r) at distance ‘r’ from A by using Ohm’s law E = ρj, where j is the current per unitarea at ‘r’.From the ‘r’ dependence of E(r), obtain the potential V(r) at r.Repeat (i), (ii) and (iii) for current ‘I’ leaving ‘D’ and superpose results for ‘A’ and ‘D’.
- 23. Problem19ΔV measured between B and C isa.b.c.d.
- 24. Problem20For current entering at A, the electric field at a distance ‘r’ from A isa.b.c. d.
- 25. Problem21A student measures the focal length of convex lens by putting an object pin at a distance ‘u’ from the lens and measuring the distance ‘v’ of the image pin. The graph between ‘u’ and ‘v’ plotted by the student should look likea.b.c. d.
- 26. Problem22A block of mass 0.50 kg is moving with a speed of 2.00 m/s on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is0.16 J 1.00 J0.67 J 0.34 J
- 27. Problem23A capillary tube (A) is dropped in water. Another identical tube (B) is dipped in a soap water solution. Which of the following shows the relative nature of the liquid columns in the two tubes?a.b.c.d.
- 28. Problem24Suppose an electron is attracted towards the origin by a force k/r where ‘k’ is a constant and ‘r’ is the distance of the electron from the origin. By applying Bohr model to this system, the radius of the nth orbital of the electron is found to be ‘rn’ and the kinetic energy of the electron to be Tn. Then which of the following is true?Tn ∝ 1/n2, rn ∝ n2 Tn independent of n, rn ∝ nTn ∝ 1/n, rn ∝ n Tn ∝ 1/n, r= ∝ n2
- 29. Problem25A wave travelling along the x-axis is described by the equation y(x, t) = 0.005 cos (αx −βt). If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then α and β in appropriate units area.b.c.d.
- 30. Problem26Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross sectional area A = 10 cm2 and length = 20 cm. If one of the solenoids has 300 turns and the other 400 turns, their mutual inductance is (μ0 = 4π × 10-7 Tm A-1)2.4 π × 10-5 H 4.8 π × 10-4 H4.8 π × 10-5 H 2.4 π × 10-4 H
- 31. Problem27In the circuit below, A and B represent two inputs and C represents the output. The circuit representsNOR gateAND gateNAND gateOR gate
- 32. Problem28A body is at rest at x = 0. At t = 0, it starts moving in the positive x-direction itha constant acceleration. At the same instant another body passes through x= 0 moving in the positive xdirection with a constant speed. The position ofthe first body is given by x1(t) after time ‘t’ and that of the second body byx2(t) after the same time interval. Which of the following graphs correctly describes (x1 – x2)as a function of time ‘t’?a.b.c.d.
- 33. Problem29An experiment is performed to find the refractive index of glass using a travelling microscope. In this experiment distance are measured bya vernier scale provided on the microscope a standard laboratory scalea meter scale provided on the microscope a screw gauage provided on the microscope
- 34. Problem30A thin spherical shell of radius R has charge Q spread uniformly over its surface. Which of the following graphs most closely represents the electric field E(r) produced by the shell in the range 0 ≤ r< ∞ , where r is the distance from the centre of the shell?a.b.c.d.
- 35. Problem31A 5V battery with internal resistance 2Ω and a 2V battery with internal resistance 1Ω are connected to a 10Ω resistor as shown in the figure. The current in the 10 Ω resistor is0.27 A P2 to P1 0.03 A P1 to P20.03 A P2 to P10.27 A P1 to P2
- 36. Problem32A horizontal overhead power line is at a height of 4m from the ground and carries a current of 100 A from east to west. The magnetic field directly below it on the ground is (μ0 = 4π × 10-7 T m A-1)2.5 × 10-7 T southward 5 × 10-6 T northward5 × 10-6 T southward 2.5 × 10-7 northward
- 37. Problem33Relative permittivity and permeability of a material are εr and μr, respectively. Which of the following values of these quantities are allowed for adiamagnetic material?εr = 0.5, μr = 1.5εr = 1.5, μr = 0.5εr = 0.5, μr = 0.5εr = 1.5, μr = 1.5
- 38. Problem34Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of − 0.03 mm while measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is3.32 mm 3.73 mm3.67 mm 3.38 mm
- 39. Problem35An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume V1 and contains ideal gas at pressure P1 and temperature T1. The other chamber has volume V2 and contains ideal gas at pressure P2 and temperature T2. If the partition isremoved without doing any work on the gas, the final equilibrium temperature of the gas in the container will Be a.b.c.d.
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