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Two metallic spheres of radii 1 cm and 3 cm are given charges of –1 × 10–2 C and 5 × 10–2 C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is :
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- 2 × 10–2 C
- 3 × 10–2 C
- 4 × 10–2 C
- 1 × 10–2 C
Correct Option: B
At equilibrium potential of both sphere becomes same if charge of sphere one x and other sphere Q – x then where Q = 4 × 10–2 C
v1 = v2
| = | ||||
| 1 cm | 3 cm |
3x = Q – x ⇒ 4x = Q
| x = | = | C = 1 × 10–2 | ||
| 4 | 4 |
Q′ = Q – x = 3 × 10–2 C
