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A ball rolls off the top of a staircase with a horizontal velocity u m/s. If the steps are h metre high and b metre wide, the ball will hit the edge of the nth step, if

a
n=2hugb2
b
n=2hu2gb
c
n=2hu2gb2
d
n=hu2gb2

detailed solution

Correct option is C

If the ball hits the nth step, then horizontal distance traversed = nb.Vertical distance traversed = nh.Here, velocity along horizontal direction = u.Velocity along vertical direction = 0.∴nb=ut  ......(i) nh=0+12gt2   ......(ii)From eqn. (i),t=nbu,∴nh=12gnbu2∴n=2hu2gb2

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