Sometimes we notice that the ceiling fan does not start rotating soon as it is switched on. But ...

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Sometimes we notice that the ceiling fan does not start rotating soon as it is switched on. But when we rotate the blades, it starts to rotate as usual. Why it is so? We know that to rotate any object, there must be a torque applied on the object. For the ceiling fan, the initial torque is given by the capacitor widely known as a condenser, if the condenser is faulty, it will not give sufficient initial torque to rotate the blades when the fan is switched on.

If potential difference across a capacitor is changed from \( 15 \mathrm{~V} \) to \( 30 \mathrm{~V} \), work done is \( \mathrm{W} \). What will be the work done when potential difference is changed from \( 30 \mathrm{~V} \) to \( 60 \mathrm{~V} \) ?
(A) \( \mathbf{W} \)
(B) \( 3 \mathrm{~W} \)
(C) \( 4 \mathrm{~W} \)
(D) \( 2 \mathrm{~W} \)
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