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A particle of mass m is initially situat...

A particle of mass m is initially situated at point P inside a hemispherical surface of radius r as shown in the figure. A horizontal acceleration of magnitude `a_o` is suddenly produced acceleration on the particle in the horizontal direction. If gravitational acceleration is neglected, then time taken by the particle to touch the sphere again is

A

`sqrt (4r sin alpha/a_o)`

B

`sqrt (4r tan alpha/a_o)`

C

`sqrt (4r cos alpha/a_o)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
(c )
s = 2r cos `alpha`
since = s = `1/2 a_0t^(2)` or `2r cos alpha = 1/2 a_(0)t^(2)`
`theefore` = `sqrt(4r cos alpha/a_0)`
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