Q149 / 160 · TS EAMCET 2006 · Physics
The bob of simple pendulum is hanging vertically down from a fixed identical bob by means of a sting of length $l$. If both bobs are charged with a charge $q$ each, time period of the pendulum is : (ignore the radii of the bobs)
- A$2 \pi \sqrt{\frac{l}{g+\left(\frac{q^2}{l^2 m}\right)}}$
- B$2 \pi \sqrt{\frac{l}{g-\left(\frac{q^2}{l^2 m}\right)}}$
- Correct answerC$2 \pi \sqrt{\frac{l}{g}}$
- D$2 \pi \sqrt{\frac{l}{g-\left(\frac{q^2}{l}\right)}}$
Solution
There will be a electrostatic repulsion between two charged bobs, but it does not affect the motion of pendulum. Thus, time period of pendulum remains same i.e., $T=2 \pi \sqrt{\frac{l}{g}}$.
Hence, the correct answer is option: 'C'.