If n drops, each of capacitance C and charged to a potential V, coalesce to form a big drop, the ratio of the energy stored in the big drop to that in each small drop will be

Options

A. `n:1`
B. `n^(1//3) :1`
C. `n^(5//3) :1`
D. `n^2 :1`

Answer

C

Explanation

`V_("big") = n^(2//3) V_("small")`
`C_("big") = n^(1//3) C_("small")`
`U=1/2CV^2implies U_("big") =n^(5//3)U_("small")`