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CUET · PHYSICS · PYQ PAPER 2023

Two conducting spheres of radii 5 cm and 10 cm are given a charge of 15 \(\mu\)C each. If the two spheres are now joined by a conducting wire, the charge on the smaller sphere will be :

  1. A 5 \(\mu\)C
  2. B 10 \(\mu\)C
  3. C 15 \(\mu\)C
  4. D 20 \(\mu\)C
Verified Solution

Answer & Solution

Correct Answer

(B) 10 \(\mu\)C

Step-by-step Solution

Detailed explanation

\( Q_{total} = 15 \text{ \(\mu\)C} + 15 \text{ \(\mu\)C} = 30 \text{ \(\mu\)C} \) \( Q_1' = Q_{total} \left( \frac{r_1}{r_1+r_2} \right) \) \( Q_1' = 30 \text{ \(\mu\)C} \left( \frac{5 \text{ cm}}{5 \text{ cm} + 10 \text{ cm}} \right) \) \( Q_1' = 10 \text{ \(\mu\)C} \)