Question

Two metallic spheres of radii 1 cm and 3 cm are given charges of -1×10⁻²C and 5×10⁻²C respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is

• A. 2×10⁻²C
• B. 3×10⁻²C
• C. 4×10⁻²C
• D. 1×10⁻²C

Hint:

Connected conductors share charge in proportion to their radii.

Answer 1

The Correct Option is B

Step 1: Total charge: Q=4×10⁻²C
Step 2: Charges distribute proportional to radii.
Step 3: QB=(3)/(4)×4×10⁻²=3×10⁻²C