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A smooth inclined plane is inclined at an angle q with the horizontal. A body starts from rest and slides down the inclined surface. Then the time taken by it to reach the bottom is

a
2hg
b
2θg
c
1sin⁡θ2hg
d
sin⁡θ{(2h)/g}

detailed solution

Correct option is C

See fig.Here F=mgsin⁡θ or ma=mgsin⁡θa=gsin⁡θ   …(1)Now, v = u + at = 0 + at or t = v/a   … (2)But v=(2gh)   …(3)t=(2gh)gsin⁡θ=1sin⁡θ2hg

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