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  • Question 1
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    A uniform solid sphere of radius R and mass M purely rolls down an inclined plane. The coefficient of friction between the sphere and the inclined plane is μ. The maximum value of θ for this to be possible is : (Take g = 10 m/s2)

  • Question 2
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    A spring mass system is placed on a frictionless horizontal surface as shown in the figure. The spring is expanded by 1/10m and the blocks are given velocities as shown, then maximum extension of spring is :

  • Question 3
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    An open water tanker moving on a horizontal straight road has a cubical block of cork floating over its surface. If the tanker has an acceleration of ‘a’ as shown, the acceleration of the cork w.r.t container is (ignore viscosity) –

  • Question 4
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    A man of mass 60 kg standing on a platform executing S.H.M. in the vertical plane. The displacement from the mean position varies as y = 0.5 sin (2π ft). The value of f, for which the man will feel weightlessness at the highest point is : (y is in metres)

  • Question 5
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    A silicon diode is connected in series with resistance and battery. What should be the value of battery if the reading of ammeter 3.62 A.

  • Question 6
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    A carrier wave has power of 1675 kW. If the side band power of a modulated wave subjected to 60%. Then find the amplitude modulation level

  • Question 7
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    A particle is moving eastwards with a velocity of 5 ms−1. In 10 seconds the velocity changes to 5 ms−1 northwards. The average acceleration in this time is

  • Question 8
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    A particle move along the parabolic path x=y2+2y+2 in such a way that the y-component of velocity vector remains 5m/s during the motion. The magnitude of the acceleration of the particle is:

  • Question 9
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    Mass A is released from rest at the top of a frictionless inclined plane 18m long and reaches the bottom 3s later. At the instant when A is released, a second mass B is projected upwards along the plate from the bottom with a certain initial velocity. Mass B travels a distance up the plane, stops and returns to the bottom so that it arrives simultaneously with A. The two masses do not collide. Initial velocity of B is

  • Question 10
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    A particle moving with velocity equal to 0.4 m/s is subjected to an acceleration of 0.15m/s2 for 2 s in a direction at right angles to its direction of motion. The magnitude of resultant velocity is

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