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CUET · PHYSICS · PYQ PAPER 2025

Two point charges \( q_1 = 10 \times 10^{-8} \text{ C} \) and \( q_2 = -2 \times 10^{-8} \text{ C} \) are separated by a distance of 6 cm. The distance from \( q_1 \) where the electric potential is zero, can be

  1. A 5 cm only
  2. B 5 cm and 7.5 cm
  3. C 7.5 cm only
  4. D 5 cm and 1.5 cm
Verified Solution

Answer & Solution

Correct Answer

(B) 5 cm and 7.5 cm

Step-by-step Solution

Detailed explanation

\( V = V_1 + V_2 = 0 \) Case 1: Point between charges. \( \frac{k q_1}{x} + \frac{k q_2}{d-x} = 0 \) \( \frac{10 \times 10^{-8}}{x} + \frac{-2 \times 10^{-8}}{0.06-x} = 0 \) \( \frac{10}{x} = \frac{2}{0.06-x} \) \( 10(0.06-x) = 2x \) \( 0.6 - 10x = 2x \) \( 0.6 = 12x \)…
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