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An inclined track ends in a circular loo...

An inclined track ends in a circular loop of radius r. From what height on the track a particle should be released so that it completes the loop, assuming there is no friction ?

A

`(r)/(2)`

B

`(3r)/(2)`

C

r

D

`(5r)/(2)`

Text Solution

Verified by Experts

(d) For looping the loop, `v=sqrt(5gr)`
By law of conservation of enegy.
Loss in potential energy =Gain in kinetic energy
`rArr" " mgh-(1)/(2)mv^(2)`
`rArr" " h=(5r)/(2)`
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