A simple pendulum consists of a small sphere of mass m suspended by a thread of length l. The sphere carries a positive charge q. The pendulum is…

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A simple pendulum consists of a small sphere of mass m suspended by a thread of length l. The sphere carries a positive charge q. The pendulum is allowed to do small oscillations in a uniform electric field E with direction vertically upwards. The time period of oscillation is

MARKS Content Team · Accepted Answer

Correct answer: (C) 2π√(lg-qmE). Sphere is said to be small therefore we can ignore its moment of inertia. The net downward force acting on the sphere will be, F=mg-Eq⇒F=mg-Eq/m From the above expression, we can say that the effective acceleration due to gravity will be g^(')=g-Eq/m. The time period of the simple pendulum will be, T=2π√(lg^('))=2π√(lg-Eqm).

A simple pendulum consists of a small sphere of mass $m$ suspended by a thread of length $l$ . The sphere carries a positive charge $q$ . The pendulum is allowed to do small oscillations in a uniform electric field $E$ with direction vertically upwards. The time period of oscillation is

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