A simple pendulum has a bob with mass and charge . The pendulum string has negligible mass. When a uniform and horizontal electric field is applied, the tension in the string changes. The final tension in the string, when the pendulum attains an equilib

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Solution

Q.
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 tension in the string changes. The final tension in the string, when the pendulum attains an equilibrium position, is _______.

(g = acceleration due to gravity) [2026]

1 $m g - q E$

2 $m g + q E$

3 $\sqrt{m^{2} g^{2} - q^{2} E^{2}}$

4 $\sqrt{m^{2} g^{2} + q^{2} E^{2}}$

Ans.
(4)

$T = \sqrt{{(q E)}^{2} + {(m g)}^{2}}$

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