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A particle of performaing a U.C.M alon...

A particle of performaing a U.C.M along a circle if radius r. The relation between its centripetal acceleration (a) and kinetic energy (E ) is given by

A

`a= 2E m`

B

`a=( E )/(mr )`

C

`a=(2E )/(mr )`

D

`a=((2E )/(mr ))^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
For a particle performing a U.C.M ,
C.P accelerationn (a) `=(v^(2))/(r ) `
and its `K.E (E ) =(1)/(2) mv^(2)`
`therefore (2E ) /(m) = v^(2) " " therefore a= (v ^(2) ) /(r ) = (2E )/(mr) `
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