Question

The two spherical shells are at large separation one of them has radius 10 cm and has 1.25 mC charge. The other is of 20 cm radius and has 0.75 mC charge. If they are connected by a conducting wire of negligible capacity, the charge on the shells are-

• A. 1 mC, 1mC
• B. $\frac{2}{3}$mC, $\frac{4}{3}$mC
• C. $\frac{4}{3}$mC, $\frac{2}{3}$mC
• D. 0.25 mC, 0.25 mC

Answer 1

Answer: (A)

1 mC, 1mC

Answer 2

Total charge = 1.25 mC + 0.75 mC = 2 mC

q₁' : q₂' = R₁ : R₂ = 1 : 2

$\left. \begin{array} { r l } \therefore \quad \mathrm { q } _ { 1 } ^ { \prime } & = \frac { 1 } { 3 } \times 2 = \frac { 2 } { 3 } \mu \mathrm { C } \\ & \mathrm { q } _ { 2 } ^ { \prime } = \frac { 2 } { 3 } \times 2 = \frac { 4 } { 3 } \mu \mathrm { C } \end{array} \right]$