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Question

A particle of mass m and charge q is fastened to one end of a string of length l. The other end of the string is fixed to the point O. The whole system lies on a frictionless horizontal plane. Initially, the mass is at rest at A. A uniform electric field in the direction shown is then switched on. Then

  1. the speed of the particle when it reaches B is 2qElm
  2. the speed of the particle when it reaches B is qEl2m
  3. the tension in the string when particles reach at B is qE.
  4. the tension in the string when the particles reach at B is 2qE.


Solution

The correct option is D the tension in the string when the particles reach at B is 2qE.
By the work energy theorem,
12mv2=qE[llcos60]
v=qElm
At point B,
TqE=mv2l
T=qE+ml(qElm)2=2qE
(d) is correct.

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