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 The difference between the apparent frequency of a source of sound as perceived by the observer during its approach and recession is 20% of the frequency of the source. If the speed of sound in air is 300 ms ‑1 , the velocity of the source is : 1.5 ms ‑1 12 ms ‑1 6 ms ‑1 3 ms ‑1 Problem

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02 Three long straight wires A, B and C are carrying currents as shown in figure. Then the resultant force on B is directed : Perpendicular to the plane of paper and outward Perpendicular to the plane of paper and inward Towards A Towards B Problem

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Problem 03 Curie-Weiss law is obeyed by iron : At curie temperature only At all temperatures Below Curie temperature Above Curie temperature

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Problem 04 A magnet N-S is suspended from a spring and when it oscillates, the magnet moves in and out of the coil C. The coil is connected to a galvanometer G. Then, as the magnet oscillates: G shows no deflection G shows deflection to the left and right but the amplitude steadily decreases G shows deflection to the left and right with constant amplitude G shows deflection on one side

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Problem 05 The dimensional formula for inductance is: [ML 2 T -2 A -2 ] [ML 2 TA -2 ] [ML 2 T -1 A -2 ] [ML 2 T -2 A -1 ]

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Problem 06 The maximum current that can be measured by a galvanometer of resistance 40ohm is 10mA. It is converted into a voltmeter that can read upto 50 V. The resistance to be connected in series with the galvanometer (in ohms) is: 2010 4050 5040 4960

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Problem 07 When a body falls in air, the resistance of air depends to a great extent on the shape of the body. 3 different shapes are given. Identify the combination of air resistances which truly represents the physical situation? (The cross-sectional areas are the same). 1<2<3 2<3<1 3<2<1 3<1<2

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Problem 08 Heavy water is A compound of deuterium and oxygen Water at 4 0 C Water, in which soap does not lather Compound of heavy oxygen and heavy hydrogen

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Problem 09 A bullet moving with a speed of 100ms -1 can just penetrate two planks of equal thickness. Then, the number of such planks penetrated by same bullet when the speed is doubled will be 6 10 4 8

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Problem 10 Absorption coefficient of an open window is 1 0.25 zero 0.5

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Problem 11 In Meld's experiment in the transverse mode, the frequency of the tuning fork and the frequency of the waves in the string are in the ratio: 2 :1 4:1 1:1 1:2

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Problem 12 An unknown resistance R 1 is connected in series with a resistance of 10 . This combination is connected to one gap of meter bridge while a resistance R 2 is connected in the other gap. The balance point is at 50 cm. Now, when the 10 resistance is removed the balance point shifts to 40 cm. The value R 1 (in ohms) is: 20 10 60 40

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Problem 13 In the circuit shown, the internal resistance of the cell is negligible. The steady state current in the 2 resistor is : 0.6 A 1.2 A 0.9 A 1.5 A

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Problem 14 A rectangular coil of 300 turns has an average area of 25 cm x 10 cm. The coil rotates with a speed of 50 cps in uniform magnetic field of strength 4 x 10 -2 T about an axis perpendicular to the field. The peak value of the induced emf (in volt) is : 300 3000 3 30

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Problem 15 In a LCR circuit the potential difference between the terminals of their inductance is 60 V, between the terminals of the capacitor is 30 V and that between the terminals of resistance is 40 V. The supply voltage will be equal to : 130 V 10 V 50 V 70 V

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Problem 16 A thread is tied slightly loose to a wire frame as in figure and the frame is dipped into a soap solution and taken out. The frame is completely covered with the film. When the portion A is punctured with a pin, the thread : Becomes concave towards A Becomes convex towards A Either (a) or (b) depending on the size of A with respect to B Remains in the initial position

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Problem 17 Oxygen is 16 times heavier then hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is : a. b. c. d.

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Problem 18 The relationship between the force F and position x of a body is as shown in figure. The work done in displacing the body from x = 1m to x = 5 m will be : 30 J 15 J 25 J 20 J

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Problem 19 Specific rotation of sugar solution is 0.01 SI units. 200 kgm -3 of impure sugar solution is taken in a polarimeter tube of length 0.25 m and an optical rotation of 0.4 rad is observed. The percentage of purity of sugar in the sample is : 11 % 20 % 80 % 89 %

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Problem 20 In a forward biased p-n junction diode, the potential barrier in the depletion region is of the form : a. b. c. d.

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Problem 21 From the adjacent figure, the correct observation is : The pressure on the bottom of tank A is greater than at the bottom of B The pressure on the bottom of the tank a is smaller than at the bottom of B The pressure depends on the shape of the container The pressure on the bottom of A and B is the same

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Problem 22 The electric bulbs A and B are rated as 60 W and 100 W. They are connected in parallel to the same source. Then : B draws more current than A Currents drawn are in the ratio of their resistances Both draw the same current A draws more current than B

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Problem 23 A thin plano -convex lens acts like a concave mirror of focal length 0.2 m when silvered from its plane surface. The refractive index of the material of the lens is 1.5. The radius of curvature of the convex surface the lens will be : 0.1 m 0.57 m 0.4 m 0.2 m

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Problem 24 A balloons rising vertically up with a velocity of 29 ms -1 . A stone is dropped from it and it reaches the ground in 10 s. The height of the balloon when the stone was dropped from it is : (g = 9.8 ms -1 ) 400 m 150 m 100 m 200 m

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Problem 25 In a Young’s double slit experiment, the separation between the two slits is 0.9 mm and the fringes are observed 1 m away. If it produces the second dark fringe at a distance of 1 mm from the central fringe, the wavelength of the monochromatic source of light used is : 450 nm 400 nm 500 nm 600 nm

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Problem 26 H- polaroid is prepared by : Orienting herapathite crystal in the same direction in nitrocellulose Using thin tourmaline crystals Stretching polyvinyl alcohol and then heated with dehydrating agent Stretching polyvinyl alcohol and then impregnating with iodidne

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Problem 27 A spherical drop of capacitance 1 is broken into eight drops of equal radius. Then, the capacitance of each small drop is : a. b. c. d. 8

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Problem 28 Identify the wrong description of the below figures : 1 reprsents far-sightedness 2 correction for short-sightedness 3 represents far-sightedness 4 correction for far-sightedness

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Problem 29 Threshold wavelength for photoelectric emission from a metal surface is 5200 Å. Photoelectrons will emitted when this surface is illuminated with monochromatic radiation from : 1 W IR lamp 50 W UV lamp 50 W IR lamp 10 W IR lamp

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Problem 30 The electric flux for Gaussian surface A that enclose the charged particles in free space is (given q 1 = -14 nC , q 2 = 78.85 nC , q 3 = -56 nC ) 10 3 Nm 2 C-1 10 3 CN -1 m -2 6.32 x 10 3 NM 2 C -1 6.32 x 10 3 CN -1 m -1

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Problem 31 Which state of triply ionized beryllium (Be 3+ ) has the same orbital radius as that of the ground state of hydrogen ? n = 3 n = 4 n = 1 n = 2

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Problem 32 If M is the atomic mass and A is the mass number, packing fraction is given by : a. b. c. d.

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Problem 33 A count are metre shows a count of 240 per minute from a given radioactive source later the metre shows a count are of 30/ min. The half-life of the source is : 80 min 120 min 20 min 30 min

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Problem 34 An uncharged sphere of metal is placed inside a charged parallel plate capacitor. The lines of force will look like : a. b. c. d.

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Problem 35 A current flows in a conductor from east to west. The direction of the magnetic field at a point above the conductor is : Towards east Towards west Towards north Towards south

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Problem 36 Excitation energy of a hydrogen like in its first excitation state is 40.8 eV . Energy needed to remove the electron from the ion in ground state is : 40.8 eV 27.2 eV 54.4 eV 13.6 eV

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Problem 37 An ideal gas heat engine operates in Carmot’s cycle between 227 0 C and 127 0 C. It absorbs 6 x 10 4 J at high temperature. The amount of heat converted into work is : 1.6 x 10 4 J 1.2 x 10 4 J 4.8 x 10 4 J 3.5 x 10 4 J

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Problem 38 Which one of the following graphs represents the behaviour of an ideal gas ? a. b. c. d.

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Problem 39 A beam of parallel rays is brought to focus by a plano -convex lens. A thin concave lens of the same focal length is joined to the first lens. The effect of this is : The focus shifts to infinity The focal point shifts towards the lens by a small distance The focal point shifts away from the lens by a small distance The focus remains undisturbed

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Problem 40 Effective capacitance between A and B in the figure, shown is : 21 23

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