Bob of a simple pendulum of length \(l\) is made of iron . The pendulum is oscillating over a horizontal coil carrying direct current. If the time period of the pendulum is \(T\) then

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(D) \(T < 2\pi \sqrt {\frac{l}{g}} \) and damping is larger than in air alone

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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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