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If n drops, each of capacitance C and ch...

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

A

`n:1`

B

`n^(1//3) :1`

C

`n^(5//3) :1`

D

`n^2 :1`

Text Solution

Verified by Experts

The correct Answer is:
C
`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")`
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