Match List-I with List-II
List-I | List-II | ||
---|---|---|---|
(A) | Moment of inertia of solid sphere of radius R about any tangent. | (I) | $${5 \over 3}M{R^2}$$ |
(B) | Moment of inertia of hollow sphere of radius (R) about any tangent. | (II) | $${7 \over 5}M{R^2}$$ |
(C) | Moment of inertia of circular ring of radius (R) about its diameter. | (III) | $${1 \over 4}M{R^2}$$ |
(D) | Moment of inertia of circular disc of radius (R) about any diameter. | (IV) | $${1 \over 2}M{R^2}$$ |
Choose the correct answer from the options given below :
When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the water with a velocity v and then sinks to the bottom with the constant velocity v. It reaches the bottom of the lake 4.0 s after it is dropped. The approximate depth of the lake is :
One end of a massless spring of spring constant k and natural length l0 is fixed while the other end is connected to a small object of mass m lying on a frictionless table. The spring remains horizontal on the table. If the object is made to rotate at an angular velocity $$\omega$$ about an axis passing through fixed end, then the elongation of the spring will be :
A solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of rotational kinetic energy of the ball to its total kinetic energy is