Sixty four identical sphere of change q and capacitance C each are combined to form a large sphere . The charge and capacitance of the large sphere is

Options

A. 64q,C
B. 16q,4C
C. 64q, 4C
D. 16q, 64C

Answer

C

Explanation

Total charge (Q) = nq = 64q
Potential of bigger sphere `(V.) = n^(2//3) V`
`=(64)^(2//3) V=16V`
Capacitance of small sphere `(C) = q/V`
Capacitance of big sphere (C.) `= (64q)/(16 V) = 4C`