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JEE Mains · Physics · STD 12 - 1. Electric charges and fields

A simple pendulum has a bob with mass m and charge q. The pendulum string has negligible mass. When a uniform and horizontal electric field \( \vec{E} \) is applied, the final tension in the string changes.The final tension in the string, when pendulum attains an equilibrium position is __________ .
(g: acceleration due to gravity)

  1. A \( mg-qE \)
  2. B \( mg+qE \)
  3. C \( \sqrt{m^{2}g^{2}+q^{2}E^{2}} \)
  4. D \( \sqrt{m^{2}g^{2}-q^{2}E^{2}} \)
Verified Solution

Answer & Solution

Correct Answer

(C) \( \sqrt{m^{2}g^{2}+q^{2}E^{2}} \)

Step-by-step Solution

Detailed explanation

\( T=\sqrt{(qE)^{2}+(mg)^{2}} \)
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