A hollow vertical cylinder of radius R and height h has a smooth internal surface. A small particle is held in contact with the inner side of upper rim at a point P. It is given a horizontal speed `v_(0)` tangential to rim. It leaves the lower rim at point Q, vertically below P. The number of revolutions made by the particle will be [Take acceleration due to gravity g]

A hollow vertical cylinder of radius R and height h has smooth internal surface. A small particle is placed in contact with the inner side of the upper rim at a point P. It is given a horizontal speed V_0 tangential to rim. It leaves the lower rim at point Q, vertically below P. The number of revolutions made by the particle will be:

A hollow vertical cylinder of radius r and height h has a smooth internal surface. A small particle is placed in contact with the inner side of the upper rim, at point A, and given a horizontal speed u, tangentical t the rim. it leaves the lower rim at point B, vertically below A. If n is an integer then

A hollow vertical cylinder of radius r and height h has a smooth internal surface. A small particle is placed in contact with the inner side of the upper rim, at point A, and given a horizontal speed u, tangentical t the rim. it leaves the lower rim at point B, vertically below A. If n is an integer then

In figure, a particle is placed at the highest point A of a smooth sphere of radius r. It is given slight push, and it leaves the sphere at B, at a depth h vertically below A. The value of h is

In figure, a particle is placed at the highest point A of a smooth sphere of radius r. It is given slight push, and it leaves the sphere at B, at a depth h vertically below A. The value of h is

A stone is projected horizontally with speed v from a height h above ground. A horizontal wind is blowing in direction opposite to velocity of projection and gives the stone a constant horizontal acceleration f( in direction opposite to initial velocity ) .As a result the stone falls on ground at a point vertically below the point of projection. Then the value of height h in terms of f,g,v is (g is acceleration due to gravity 0