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MHT CET · Physics · Electrostatics

Two point charges \(\mathrm{q}_1\) and \(\mathrm{q}_2\) are '\(l\)' distance apart. If one of the charges is doubled and distance between them is halved. The magnitude of force becomes n times, where n is

  1. A 1
  2. B 2
  3. C 8
  4. D 16
Verified Solution

Answer & Solution

Correct Answer

(C) 8

Step-by-step Solution

Detailed explanation

\( F_1 = k \frac{q_1 q_2}{l^2} \) \( F_2 = k \frac{(2q_1) q_2}{(l/2)^2} = k \frac{2q_1 q_2}{l^2/4} = 8k \frac{q_1 q_2}{l^2} \)