CUET · PHYSICS · PYQ PAPER 2025
A pendulum of length 'l' having a bob of mass 'm' carrying charge 'q' is suspended from a stationary rigid support in a region of uniform electric field 'E' as shown in the figure. If the system is in equilibrium, the nature and magnitude of 'q' will be :
- A Positive, \( \frac{mg}{E} \)
- B Positive, \( (\frac{mg}{E}) \tan \theta \)
- C Positive, \( \frac{mg}{E \tan \theta} \)
- D Negative, \( (\frac{mg}{E}) \tan \theta \)
Answer & Solution
Correct Answer
(B) Positive, \( (\frac{mg}{E}) \tan \theta \)
Step-by-step Solution
Detailed explanation
Forces in equilibrium: Vertical: \(T \cos \theta = mg\) Horizontal: \(T \sin \theta = F_e\) From the figure, the bob is deflected left, so the electric force \(F_e\) is to the left. Since the electric field \(E\) is to the right, the charge \(q\) must be negative. \(F_e = |q|E\)…
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