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question_answer1) A mass M is suspended by a rope from a rigid support at A as shown in figure. Another rope is tied at the end 6 and it is pulled horizontally with a force F. If the rope AB makes an angle with the vertical, then the tension in the string AB is (a) (b) (c) (d)
question_answer2) The momentum of a body is increased by 100%. The percentage change in KE will be (a) 480% (b) 100% (c) 200% (d) 300%
question_answer3) If the linear density of the rod of length L varies at then its centre of mass is given by (a) (b) (c) (d)
question_answer4) If a particle moves in the plane, the resultant angular momentum has (a) onlycomponent (b) onlycomponent (c) both and components (d) only z-component
question_answer5) The maximum vertical distance through which a fully dressed astronaut can jump on the earth is 0.5 m. If mean density of the moon is two-third that of the earth and radius is one quarter of the earth, the maximum vertical distance through which he can jump on the moon and the ratio of time of duration of the jump on the moon to that on the earth are (a) 3m, 6:1 (b) 6m,3:1 (c) 3m,1:6 (d) 6m,1:6
question_answer6) The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K, the root mean square speed of gas molecules is v, then at 480 K it will be (a) 4v (b) 2v (c) (d)
question_answer7) Transverse waves of the same frequency are generated in two steel wires A and B. The diameter of A is twice that of B and the tension in A is half that in B. The ratio of the velocities of waves in A and B is (a) 1:2 (b) (c) (d)
question_answer8) Four metallic plates, each with a surface area of one side A, are placed at a distance d from each other. The alternating plates are connected to points A and B as shown in the figure. Then, the capacitance of the system is (a) (b) (c) (d)
question_answer9) The electric field part of an electromagnetic wave in a medium is represented by The wave is (a) moving along direction with frequency and wavelength 100 m (b) moving along direction with frequency and wavelength 200 m (c) moving along direction with frequency and wavelength 200 m (d) moving along direction with frequency and wavelength 200 m
question_answer10) When decays in a series by emission of -particles and -particle isotope X formed is (a) (b) (c) (d)
question_answer11) A particle of mass 2 kg is initially at rest. A force acts on it whose magnitude changes with time. The force time graph is shown in figure. The velocity of the particle after 10 s is (a) (b) (c) (d)
question_answer12) A mass m moving horizontally with velocity strikes a pendulum of mass m. If the two masses stick together after the collision, then the maximum height reached by the pendulum is (a) (b) (c) (d)
question_answer13) In a plant, a sucrose solution of coefficient of viscosity 0.0015 N-s/m2 is driven at a velocity of m/s through xylem vessels of radius and length . The hydrostatic pressure difference across the length of xylem vessels in N/m2 is (a) 5 (b) 8 (c) 10 (d) 15
question_answer14) Three identical rods A, B and C of equal lengths and equal diameters are joined in series as shown in figure. Their thermal conductivities are 2K,K and K/2 respectively. Calculate the temperature at two junction points (a) 85.7, 57.1?C (b) 80.85, 50.3?C (c) 77.3, 48.3?C (d) 75.8, 49.3?C
question_answer15) Two sources A and B are sounding notes of frequency 680 Hz. A listener moves from A to B with a constant velocity u. If the speed of sound is , what must be the value of so that he hears 10 beats per second? (a) (b) (c) (d)
question_answer16) There is a temperature at which the reading on kelvin scale is numerically (a) equal to that on the celsius scale (b) lower than that on the Celsius scale (c) equal to that on the fahrenheit scale (d) less than zero
question_answer17) A gas is taken along the path as shown. If heat supplied to the system is 20 J, then the change in the internal energy is (a) 125 J (b) ? 10 J (c) 10 J (d) 55 J
question_answer18) A uniform rod of mass M and length L is placed on a smooth horizontal surface as shown in figure. The rod is given an impulse J in a direction perpendicular to length of rod and at a distance from the centre of mass of road as shown in figure. Just after impact, the velocity of point P is (a) (b) (c) (d)
question_answer19) Consider the transistor shown in the figure, its terminals are marked as 1, 2 and 3. Using multimeter a student tries to identify the base of transistor, he proceed as follows Experiment I He touches the common lead of the multimeter to 2, then on touching other lead of multimeter to 1, he has not get any beep (Indication of conduction) but when connected to 3, he gets a beep. Experiment II He connects the common lead of multimeter to 1 and other lead to 2 and3, turn by turn then, he gets a beep of both the connections. From this, we conclude that (a) 1 is base (b) 2 is base (c) 3 is base (d) None of these
question_answer20) A particle is projected from a point on axis (assume +y direction vertically upward)aiming towards a point (4, 9). It fell on ground along x-axis in 1 s. Take and all coordinates in metre. Find the x-coordinate where it fell (a) (3, 0) (b)(4,0) (c)(2,0) (d)
question_answer21) The average speed of a moving object during a given interval of time is always (a) the magnitude of its average velocity over the interval (b) one-half its speed at the end of the interval (c) distance covered during the interval divided by the time interval (d) its acceleration multiplied by the time interval
question_answer22) A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a charge of the new potential difference between the same two surfaces would be (a) V (b) 2V (c) 4V (d) ? 2V
question_answer23) A ring of radius R having uniformly distributed charge Q is mounted on a rod suspended by two identical light strings, as shown in the figure. The tension in the strings in equilibrium is . Now a vertical magnetic field is switched on and the ring is rotated at constant angular velocity . The maximum value that the ring can acquire if the strings can withstand a maximum tension of is (a) (b) (c) (d)
question_answer24) Two blocks A and B connected to each other by a light spring are kept on a rough horizontal surface as shown in the figure. If at any instant acceleration of A is, then at this instant acceleration of S would be (a) (b) (c) (d)
question_answer25) A strong battery of 8 V and internal resistance is being charged by a 120 V DC supply using a series resistor of . The terminal potential difference of the battery during charging is (a) 8V (b) 4.5V (c) 11.5V (d) zero
question_answer26) A particle performs SHM about such that at it is at and moving towards positive extreme. The ratio of time taken by it to go from to and from here tos equal to (a) 2 (b) 1/2 (c) 11/12 (d) 12/11
question_answer27) Statement I In verification of the Ohm's law using voltmeter-ammeter method, an experimenter noted down the reading of voltmeter as 2.15 V and ammeter reading as1.60 A, then R would be written up to 3 significant digits. Statement II Reliability in the computed value cannot be greater than the reliability in the measured values. Mark your answer as (a) Statement I is true, Statement II is true; Statement II is the correct explanation for Statement I. (b) Statement I is true, Statement II is true; Statement II is not the correct explanation for Statement I. (c) Statement I is true, Statement II is false. (d) Statement I is false, Statement II is true.
question_answer28) A tank accelerates uniformly in upward direction with acceleration1 m/s2 and contains water. A block of mass 1 kg and density 0.8 g/cc is held stationary inside the tank with the help of the string as shown in figure. The tension in the string is [Take and ] (a) 2 N (b) 1.5 N (c) 10 N (d) 7 N
question_answer29) A conducting rod of length L and mass m is moving down a smooth inclined plane of inclination with constant speed . A current is flowing in the conductor perpendicular to plane of paper (inwards). A vertically upward uniform magnetic field B exists in space there. The magnitude of magnetic field will be (a) (b) (c) (d)
question_answer30) A rod of mass M which is non-uniformly distributed over its length L has been considered. Its linear mass density variation will distance from left end is shown in the figure. From this information, we can conclude that the centre of mass of rod (a) is on left of its mid-point (b) is on right of its mid-point (c) is coinciding with its mid-point (d) Information insufficient
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