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A frictionless track ABCD ends in a semi...

A frictionless track ABCD ends in a semicircular loop of radius R.A body slides down the track from point A which is at a value of R which is at a height h=5 cm. Maximum value of R for the body to successfully complete the loop is

A

5 cm

B

`(15)/(4) cm`

C

`(10)/(3) cm`

D

2 cm

Text Solution

Verified by Experts

(d) Velocity at the botton is `sqrt(2gh)`
For completing the loop,
`sqrt(3gh)=sqrt(5hR)`
Hence , `R=2h//5=(2xx5)//5=2 cm`
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