A) \[T=2\pi \sqrt{\frac{l}{g}}\]and damping is smaller than in air alone.
B) \[T=2\pi \sqrt{\frac{l}{g}}\]and damping is larger than in air alone.
C) \[T>2\pi \sqrt{\frac{l}{g}}\]and damping is smaller than in air alone.
D) \[T<2\pi \sqrt{\frac{l}{g}}\]and damping is larger than in air alone.
Correct Answer: D
Solution :
When the pendulum is oscillating over a current carrying coil, and when the direction of oscillating pendulum bob is opposite to the direction of current. Its instantaneous acceleration increases. Hence time period \[T<2\pi \sqrt{\frac{\ell }{g}}\]and damping is larger than in air alone due energy dissipation.
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