Two metal spheres of capacitance `C_1 and C_2`carry some charges . They are put in contact and then separated. final charges `Q_1 and Q_2` on them will satisfy

Options

A. `(Q_(1))/(Q_(2)) lt (C_(1))/(C_(2))`
B. `(Q_(1))/(Q_(2)) = (C_(1))/(C_(2))`
C. `(Q_(1))/(Q_(2)) gt (C_(1))/(C_(2))`
D. `(Q_(1))/(Q_(2)) lt (C_(1))/(C_(2))`

Answer

B

Explanation

Potential of both spheres will be same.
`:. (Q_(1))/(C_(1)) = (Q_(2))/(C_(2)) or (Q_(2))/(Q_(2)) = (C_(1))/(C_(2))`