PHYSICS IIT JEE 2009 Paper 2
SECTION – I
This section contains 4 multiple choice questions. Each question has 4 choices (a), (b), (c) and (d), out of which Only One is correct
1. Photoelectric effect experiments are performed using three different metal plates p, q and r having work functions
øp = 2.0 eV, øq
= 2.5 eV, ør = 3.0 eV , and respectively. A light beam containing wavelengths of 550 nm, 450 nm and 350 nm with equal intensities illuminates each of the plates. The correct I-V graph for the experiment is (Take hc = 1240 eV nm)
2. A uniform rod of length L and mass M is pivoted at the centre. Its two ends are attached to two springs of equal spring constants k. The springs are fixed to rigid supports as shown in the figure, and rod is free to oscillate in the horizontal plane. The rod is gently pushed through a small angle θ in one direction and released.
The frequency of oscillation is
3. A piece of wire is bent in the shape of a parabola y = kx2 (y-axis vertical) with a bead of mass m on it. The bead can slide on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the x-axis with a constant acceleration a. The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the y-axis is
4. The mass M shown in the figure oscillates in simple harmonic motion with amplitude A. The amplitude of the point P is
SECTION – II
This section contains 5 multiple choice questions. Each question has 4 choices (a), (b), (c) and (d), out of which One or More is/are correct
5. Under the influence of the Coulomb field of charge +Q, a charge –q is moving around it in an elliptical orbit. Find out the correct statement(s)
(a) The angular momentum of the charge –q is constant.
(b) The linear momentum of the charge –q is constant.
(c) The angular velocity of the charge –q is constant
(d) The linear speed of the charge –q is constant
6. The shows the P-V plot of an ideal gag taken through a cycle ABCDA. The part ABC is a semi-circle and CDA is half of an ellipse. Then,
(a) the process during the path A→B is isotherm(a) the process during the path A→B is isotherm
(b) heat flows out of the gas during the path B → C → D
(c) work done during the path A → B → C is zero
(d) positive work is done by the gas in the cycle ABCDA
(A) b, c
(B) b, d
(C) a, d
(D) a, c
7. A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, A is the point of contact, B is the centre of the sphere and C is its topmost point. Then
(A) B, C
(B) A, D (C) C, D
(D) A, B
8. A student performed the experiment to measure the speed of sound in air using resonance air-column method. Two resonances in the air-column were obtained by lowering the water level. The resonance with the shorter air-column is the first resonance and that with the longer air column is the second resonance. Then
(a) the intensity of the sound heard at the first resonance was more than that at the second resonance
(b) the prongs of the tuning fork were kept in a horizontal plane above the resonance tube
(c) the amplitude of vibration of the ends of the prongs is typically around 1 cm
(d) the length of the air – column at the first resonance was somewhat shorter than 1/4th of the wavelength of the sound in air
(A) a, b
(B) a, c
(C) a, d
(D) b, d
9. Two metallic rings A and B, identical in shape and size but having different resistivities and , are kept on top of two identical solenoids as shown in the figure. When current l is switched on in both the solenoids in identical manner, the rings A and B jump to heights hA and hB , respectively with hA>hB . The possible relation(s) between their resistivities and their masses mA and mB is (are)
(a) pA>pB and mA = mB
(b) pA < pB and mA = mB
(c) pA>pB and mA>mB
(d) pA < pB and mA < mB
(A) a, c
(B) b, c
(C) c, d
(D) b, d
SECTION – III
Matrix – Match Type
This section contains 2 questions. Each question contains statements given in two columns, which have to be matched. The statements in column I are labeled A, B, C and D, while the statements in column II are labeled p, q, r, s and t. Any given statement in column I can have correct matching with one or more statement(s) in column II.
10. Column I shows four situations of standard Young’s double slit arrangement with the screen placed far away from the slits S1 and S2. In each of these cases S1P0 = S2P0, S1P1 – S2P1 = λ/4 and S1P2 – S2P2 = λ/3, where λ is the wavelength of the light used. In the cases B, C and D, a transparent sheet of refractive index μ and thickness t is pasted on slit S2. The thickness of the sheets are different in different cases. The phase difference between the light waves reaching a point P on the screen from the two slits is denoted by δ(P) and the intensity by I(P). Match each situation given in Column I with the statement(s) in Column II valid for that situation.
(A) (a: p, s) (b: q) (c: t) (d: r, s, t)
(B) (a: q) (b: t) (c: r, s, t) (d: p, s)
(C) (a: t) (b: r, s, t) (c: p, s) (d: q)
(D) (a: r, s, t) (b: p, s) (c: q) (d: t)
11. Column II it fives certain systems undergoing a process, Column I suggests changes in some of the parameters related to the system. Match the statements in Column – I to the appropriate process(es) from Column – II
(A) (a: s) (b: p, q, t) (c: q) (d: s)
(B) (a: p, q, t) (b: q) (c: s) (d: s)
(C) (a: q) (b: s) (c: s) (d: p, q, t)
(D) (a: s) (b: s) (c: p, q, t) (d: q)
SECTION – IV
Integer Answer Type
This section contains 8 questions. The answer to each of the questions is a single-digit integer, ranging from 0
(A) 6 (B)
7 (C) 8
(D) 9
13. A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses 0.36 kg and 0.72 kg. Taking g = 10m/s2, find the work done (in joules) by the string on the block of mass 0.36 kg during the first second after the system is released from rest.
(A) 6 (B) 7
(C) 8
(D) 9
14. A solid sphere of radius R has a charge Q distributed in its volume with a charge density, p = k r2 where k and a are constants and r is the distance form its centre. If the electric field at r= R/2 is 1/8 times that at r = R, find the value of a.
(A) 5 (B) 4
(C) 3
(D) 2
15. A metal rod AB of length 10x has its one end A in ice at 00C and the other end B in water at 1000C. If a point P on the rod is maintained at 4000C, then it is found that equal amounts of water and ice evaporate and melt per unit time. The latent heat of evaporation of water is 540 cal/g and latent heat of melting of ice is 80 cal/g. If the point P is at a distance of λx from the ice end A, find the value of λ. [Neglect any heat loss to the surroundings]
(A) 9 (B) 8
(C) 7
(D) 6
16. Two soap bubbles A and B are kept in a closed chamber where the air is maintained at pressure 8 N/m2. The radii of bubbles A and B are 2 cm and 4 cm, respectively. Surface tension of the soap-water used to make bubbles is 0.04 N/m. Find the ratio nB/nA, where nA and nB are the number of moles of air in bubbles A and B, respectively. [Neglect the effect of gravity]
(A) 4
(B) 5
(C) 6
(D) 7
17. A 20 cm long string, having a mass of 1.0g, is fixed at both the ends. The tension in the string is 0.5N. The string is set into vibrations using an external vibrator of frequency 100Hz. Find the separation (in cm) between the successive nodes on the string.
(A) 4
(B) 5
(C) 6
(D) 7
18. Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. These have masses m, 2m and m, respectively. The object A moves towards B with speed 9 m/s and makes and elastic collision with it. Thereafter, B makes completely inelastic collision with C. All motions occur on the same straight line. Fine the final speed (in m/s) of the object C.
(A) 4
(B) 5
(C) 6
(D) 7
19. A cylindrical vessel of height 500mm has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it up to height H. Now the top is completely sealed with a cap and the orifice at the bottom is opened. Some water comes out from the orifice and the water level in the vessel becomes steady with height of water column being 200 mm. Find the fall in height (in mm) of water level due to opening of the orifice.
[ Take atmospheric pressure = 1.0 x 105 N/m2, density of water = 1000 kg/m3 and g = 10 m/s2. Neglect any effect of surface tension.]
(A) 4 mm
(B) 5 mm (C) 6 mm
(D) 7 mm
|