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CUET · PHYSICS · PYQ PAPER 2025

Two point charges \( q_1 = 36 \text{ }\mu\text{C} \) and \( q_2 = -9 \text{ }\mu\text{C} \) are placed at a distance of 30 cm. The distance from \( q_1 \) where the net electric field is zero, will be :

  1. A 10 cm
  2. B 20 cm
  3. C 60 cm
  4. D 30 cm
Verified Solution

Answer & Solution

Correct Answer

(C) 60 cm

Step-by-step Solution

Detailed explanation

\( \frac{k|q_1|}{x^2} = \frac{k|q_2|}{(x-d)^2} \) \( \frac{36}{x^2} = \frac{9}{(x-30)^2} \) \( \frac{4}{x^2} = \frac{1}{(x-30)^2} \) \( \frac{2}{x} = \frac{1}{x-30} \) \( 2(x-30) = x \) \( 2x - 60 = x \) \( x = 60 \text{ cm} \)