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A body initially at rest and sliding alo...

A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter AB =D.The height h is equal to

A

`7/5` D

B

D

C

`3/2` D

D

`5/4` D

Text Solution

Verified by Experts

The correct Answer is:
D

As track is frictionless , so total mechanical energy will remain constant
`T.M.E_(I)=T.M.E_(F)`
`0+mgh =(1)/(2)mv_(L)^(2)+0`
`h=(v_(L)^(2))/(2g)`
For completing the vertical circle , `v_(L) ge sqrt(4gR)`
`h=(5gR)/(2g)=(5)/(2)R=(5)/(4)D`
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