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A ball is projected with velocity u at r...

A ball is projected with velocity u at right angle to the slope which inclined at an angle `alpha` with the horizontal. The distance `x` along the inclined plane that it will travell before again striking the slope is-

A

`(2u^2)/(g)cosalpha`

B

`(2u^2)/(g)tanalpha`

C

`(2u^2)/(g)(tanalpha)/(cosalpha)`

D

`(2u^2)/(g)(tanalpha)/(sinalpha)`

Text Solution

Verified by Experts

The correct Answer is:
A

Equation for motion perpendicular to the incline
`impliesu.t-(1)/(2)gcosalpha.t^2impliest=(2u)/(gcosalpha)`
Along incline `x=0+(1)/(2)xx(gsinalpha)((2u)/(gcosalpha))^2`
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