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TS EAMCET · Physics · Oscillations

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

  1. A 2πlg
  2. B 2πmlqE
  3. C 2πlg-qmE
  4. D 2πlg+qmE
Verified Solution

Answer & Solution

Correct Answer

(C) 2πlg-qmE

Step-by-step Solution

Detailed explanation

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-Eqm From the above expression, we can say that the effective acceleration due to gravity will be g'=g-Eqm. The time period of the…
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