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Question: A marble rolls down from top of a staircase with constant horizontal velocity u.If each step is y me...

A marble rolls down from top of a staircase with constant horizontal velocity u.If each step is y metre high and x metre wide, the marble just hits the edge of the nth step when n =

A

xu2/gy2

B

u2/gy

C

2yu2/gx2

D

4yu2/gx2

Answer

2yu2/gx2

Explanation

Solution

Total horizontal distance to be covered = x × n = nx.

But nx = ut ……….. (i)

and ny = 1/2 gt2 …………. (ii)

Substituting the value of t from (i) in (ii),

ny = 1/2 g n2x2/u2

or n = 2yu2/gx2