SECTION – I 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

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01 A particle is projected with velocity 2 such that it just crosses two walls to height h and separated by h. Find the angle of projection. 15 0 75 0 60 0 30 0 Problem

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02 For a projectile, (range) 2 is 48 times of (maximum height) 2 obtained. Find angle of projection. 60 0 30 0 45 0 75 0 Problem

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Problem 03 Which of the following cannot be explained on the basis of wave nature of light ? ( i ) Polarizaiton (ii) Optical activity (iii) Photoelectric effect (iv) Compton effect (iii) and (iv) (ii) and (iii) ( i ) and (iii) (ii) and (iv)

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Problem 04 An ice cube is kept on an inclined plane of angle 30 0 .Coefficient of kinetic friction between block and inclined plane is . What is acceleration of block ? Zero 2 m/s 2 1.5 m/s 2 5 m/s 2

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Problem 05 A round disc of moment of inertia I 2 about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia I 1 rotating about the same axis. The final angular velocity of the combination of discs is a. b. c. d.

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Problem 06 A particle is executing SHM at mid point of mean position and extremity. What is the potential energy in terms of total energy (E) ? a. b. c. d.

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Problem 07 A train is approaching with velocity 25 m/s towards a pedestrian standing on track, frequency of horn of train is 1 kHz. Frequency heard by the pedestrian is (v = 350 m/s) 1077 Hz 1167 Hz 985 Hz 945 Hz

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Problem 08 A force of 200 N acts tangentially on the rim of a wheel 25 cm in radius, Find the torque. 50 N-m 150 N-m 75 N-m 30 N-m

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Problem 09 Focal length of objective and eyepiece of telescope are 200 cm and 4 cm respectively. What is length of telescope for normal adjustment ? 196 cm 204 cm 250 cm 225 cm

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Problem 10 Two lenses of power 3D and – 1D are kept in contact. What is focal length and nature of combined lens ? 50 cm, convex 200 cm, convex 50 cm concave 200 cm, concave

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Problem 11 Intensity of wave a is 9I, while of wave B is I. What is maximum and minimum intensity in YDSE ? 82I, 80 I 8I, 10I 16I, 4I 4I, I

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Problem 12 A liquid X of density 3.36 g/cm 3 is poured in a U-tube, which contains Hg. Another liquid Y is poured in left arm with height 8 cm, upper levels of X and Y are same. What is density of Y ? 0.8 g/cc 1.2 g/cc 1.4 g/cc 1.6 g/cc

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Problem 13 Two charge q 1 and q 2 are placed 30 cm apart, as shown in the figure. A third charge q 3 is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is where k is 8q 2 8q 1 6q 2 6q 1

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Problem 14 What is order of energy of X-rays(E x ), radio waves (E R ) and microwaves (E M ) ? E X < E R < E M E X < E M < E R E M < E X < E R E M < E R < E X

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Problem 15 A ray of light is incident on a plane mirror, along the direction given by vector . Find the unit vector along reflected ray. Take normal to mirror along the direction of vector . None of the above

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Problem 16 Motion of two particles is given by y 1 = 0.25 sin (310 t) y 2 = 0.25 sin (316 t). Find beat frequency. 3 3 6/ 6

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Problem 17 A coin is of mass 4.8 kg and radius one metre rolling on a horizontal surface without sliding with angular velocity 600 rotation/min. What is total kinetic energy of the coin ? 360 J 1440 2 J 4000 2 J 600 2 J

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Problem 18 In BJT, maximum current flows in which of the following ? Emitter region Base region Collector region Equal in all the regions

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Problem 19 In semiconductors at a room temperature The valence band is partially empty and the conduction band is partially filled The valence band is completely filled and the conduction band is partially filled The valence band is completely filled The conduction band is completely empty

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Problem 20 In a circuit L,C and R are connected in series with an alternating voltage source of frequency f. The current leads the voltage by 45 0 . the value of C is a. b. c. d.

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Problem 21 What is the angle between electric field and equipotenital surface ? 90 0 always 0 0 always 0 0 to 90 0 0 0 to 180 0

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Problem 22 A satellite moves in elliptical orbit about a planet. The maximum and minimum velocities of satellites are 3 x 10 4 m/s and 1 x 10 3 m/s respectively. What is the minimum distance of satellite from planet, if maximum distance is 4 x 10 4 km ? 4 x 10 3 km 3 x 10 3 km 4/3 x 10 3 km 1 x 10 3 km

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Problem 23 Four ball each of radius 10 cm and mass 1 kg, 2 kg 3 kg and 4 kg are attached to the periphery of massless plate of radius 1 m, what is moment of inertia of the system about the centre of plate ? 12.04 kg-m 2 10.04 kg-m 2 11.50 kg-m 2 5.04 kg-m 2

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Problem 24 A carnot engine has efficiency 1/5. Efficiency becomes 1/3 when temperature of sink is decreased by 50 K. What is the temperature of sink ? 325 K 375 K 300 K 350 K

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Problem 25 A cyclist moves in such a way that he takes 600 turn after 100 m. What is the displacement when he takes seventh turn ? 100 m 200 m 100 100/ m

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Problem 26 A spring of spring constant k is cut into two equal parts. A block of mass m is attached with one part of spring. What is the frequency of the system if is frequency of block with original spring ? /2 2

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Problem 27 Why is there sudden increase in current in zener diode ? Due to rupture of bonds Resistance of depletion layer becomes less Due to high doping None of the above

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Problem 28 Coefficient of coupling between two coils of self-inductance L 1 and L 2 is unity. It means 50% flux of L 1 is linked with L 2 100% flux of L 1 is linked with L 2 time of flux of L 1 is linked with L 2 none of the above

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Problem 29 One mole of an ideal gas at an initial temperature of T Kelvin does 6R joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is 5/3, the final temperature of gas will be (T + 2.4) K (T – 2.4) K (T + 4)K (T - 4) K

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Problem 30 A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle . The frictional force Converts traslational energy to rotational energy Dissipates energy as heat Decreases the rational motion Decreases the rotational and translational motion

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Problem 31 If in a nuclear fusion process, the masses of the fusing nuclei be m 1 and m 2 and the mass of the resultant nucleus be m 3 , then m 3 = m 1 + m 2 m 3 = | m 1 + m 2 | m 3 < ( m 1 + m 2 ) m 3 > (m 1 + m 2 )

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Problem 32 If the angle between the vectors is , the value of the product is equal to BA 2 cos BA 2 sin BA 2 sin cos Zero

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Problem 33 A beam of light composed of red and green rays is incident obliquely at a point on the face of a rectangular glass slab. When coming out on the opposite parallel face, the read and green rays emerge from Two points propagating in two different non-parallel directions Two points propagating in two different parallel directions One point propagating in two different directions One point propagating in the same direction

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Problem 34 A car runs at constant speed on a circular track of radius 100 m, taking 62.8 s for every circular lap. The average velocity and average speed for each circular lap respectively is : 0, 0 1, 10 m/s 10 m/s, 10 ms/s 10 m/s, 0

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Problem 35 If a bar magnet of length l and corss -sectional area A is cut into two equal parts as shown in figure, then the pole strength of each pole becomes Half Double One-fourth Four times

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Problem 36 Three photons coming from excited atomic hydrogen sample are observed, their energies are 12.1 eV , 10.2 eV and 1.9 eV . These photons must come from Single atom Two atoms Three atoms Either two or three atoms

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Problem 37 A police car is traveling in a straight line with a constant speed v. A truck traveling in the same direction with constant velocity 3v/2 passes, the police car at t = 0. The police car starts accelerating 10 s after passing the truck, at a constant rate of 3 m/s 2 , while truck continues to move at constant speed. If the police car takes 10 s further to catch the truck, find the value of v. 10 m/s 15 m/s 20 m/s 30 m/s

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Problem 38 Consider the statements (I) If magnetic field, = 0, then magnetic flux is also zero. (II) If magnetic flux, = 0, then magnetic filed is also zero. (I) is true, (II) may be true Both (I) and (II) are true (I) may be true, (II) is true (I) and (II) both are false

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Problem 39 Which of the following configurations of electric lines of force is not possible ? a. b. c. d. Both (b) and (c)

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Problem 40 Three guns are amied at the centre of a circle. They are mounted on the circle, 120 0 apart. They fire in a timed sequence, such that the three bullets collide at the centre and mash into a stationary lump. of 4.5 g each and speed of v 1 and v 2 . The third bullet has a mass of 2.50 g and a speed of 575 m/s. Find the unknown speeds. 20m/s each 145 m0 /s and 256 m/s 536 m/s and 320 m/s none of the above

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