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 particle originally at rest at the highest point of a smooth vertical circle is slightly displaced. It will leave the circle at a vertical distance h below the highest points, such that h is equal to

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 uniform ball of radius r is placed on the top of a sphere of radius R = 10 r. It is given a slight push due to which it starts rolling down the sphere without slipping. The spin angular velocity of the ball when it breaks off from the sphere is omega=sqrt((p)/(q)((g)/(r))) , where g is the acceleration due to gravity and p and q are the smallest integers. What is the value of p+q ?

A uniform ball of radius r is placed on the top of a sphere of radius R = 10 r. It is given a slight push due to which it starts rolling down the sphere without slipping. The spin angular velocity of the ball when it breaks off from the sphere is omega=sqrt((p)/(q)((g)/(r))) , where g is the acceleration due to gravity and p and q are the smallest integers. What is the value of p+q ?

A partical originally at rest at the highest point of a smooth vertical circle is slightly displaced. It will leave the circle at a vertical distance h below the highest points, such that h is equal to

If a charge q is placed at the centre of imaginary sphere of radius r then the N.E.I. at a point on such a sphere is

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