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

Question

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, r 6, 1 4 r, 1 3 r, 1 2 r

MARKS App · Accepted Answer

If v velocity acquired at B , then v 2 = 2 g h The particle will leave the sphere at B , when mv 2 r = mgcos θ 2 gh r = g . r - h r Which gives h = r 3

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