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1. A ball of mass 0.1 kg, initially at rest, is dropped from height of 1 m. Ball hits the ground and bounces off the ground. Upon impact with the ground, its velocity reduces by 20%. The height (in m) to which the ball will rise is:
1) 0.61
2) 0.62
3) 0.63
4) 0.64
2. A mass m1of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with a stationary mass m2of 1000 kg. After the collision, both the masses travel together with the same velocity. The coefficient of restitution is:
1) 0.6
2) 0.1
3) 0.001
4) 0
3. A fighter plane flying in the sky dives with a speed of 120 m/sec in a vertical circle of radius of 100 m. Mass of the pilot is 80 kg. Force withwhich the pilot presses the seat at the highest position is :
1) 10720 N
2) 15000 N
3) 8000 N
4) 12720 N
4. Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its vertex and parallel to the base,is __________ than that passing through its C.G. and parallel to the base.
1) Nine times
2) Six times
3) Four times
4) Two times
5. A simple pendulum of length of 5 m, with a bob of mass 1 kg, is in simple harmonic motion. As it passes through its mean position, the bob has
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
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