A small sphere carrying a charge ‘q’ is hanging in between two pa… - Vidyadip

MCQ

A small sphere carrying a charge ‘q’ is hanging in between two parallel plates by a string of length L. Time period of pendulum is $T_0$. When parallel plates are charged, the time period changes to T . The ratio $\frac{T}{T_0}$ is equal to

A
$\left(\frac{\mathrm{g}+\frac{\mathrm{qE}}{\mathrm{m}}}{\mathrm{g}}\right)^{1 / 2}$
B
$\left(\frac{\mathrm{g}}{\mathrm{g}+\frac{\mathrm{qE}}{\mathrm{m}}}\right)^{3 / 2}$
✓
$\left(\frac{g}{g+\frac{q E}{m}}\right)^{1 / 2}$
D
None of these

✓

Answer

Correct option: C.

$\left(\frac{g}{g+\frac{q E}{m}}\right)^{1 / 2}$

(c) $\left(\frac{g}{g+\frac{q E}{m}}\right)^{1 / 2}$

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