A particle of mass `m` oscillates inside a smooth spherical shell of radius `R` and starts its motion from point `B`. At given instant the kinetic energy of the particle is `K`. Then the force applied by particle on the shell at this instant is `:-`

Options

A. `(K)/(R)`
B. `(2K)/(R)`
C. `(3K)/(R)`
D. `(K)/(2R)`

Answer

C

Explanation

`N-mgcostheta=(mv^(2))/(R)=(2k)/(R)`
`(TME)_(B)=(TME)_(C)`
`rArr(1)/(2)mv^(2)=mgRcosthetarArrcostheta=(K)/(mgR)`
So, `N=mg((K)/(mgh))+(2K)/(R)=(3K)/(R)`