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A particle is given an initial speed u i...

A particle is given an initial speed `u` inside a smooth spherical shell of radius `R` so that it is just able to complete the circle. Acceleration of the particle, when its velocity is vertical, is

A

`gsqrt(10)`

B

`g`

C

`gsqrt(2)`

D

`gsqrt(6)`

Text Solution

Verified by Experts

The correct Answer is:
A
`u=sqrt(5gR)`

`v^(2)=u^(2)-2gh=(5gR)-2gR`
`=3gR`
`a_(r)=(v^(2))/(R)=3g`
`a_(t)=g`
`a=sqrt(a_(r)^(2)+a_(t)^(2))`
`=gsqrt(10)`
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