A partical of mass `m` oscillates along the horizontal diameter `AB` inside a smooth spherical `AB` inside a smooth sperical shell of radius `R`. At any instate `K.E.` of the partical is `K`. Then force applied by partical on the on the shell at this instant is:

Options

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

Answer

D

Explanation

`N-mg sin theta =(mv^(2))/(R)`....(i)
As `(1)/(2)mv^(2)=mgh`...(ii)
`N=mg((h)/(R))+(2E)/(R)=(E)/(R)+(2E)/(R)=(3E)/(R)`.