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Question

A ball of mass 1 g and charge 108 C moves from a point A having electric potential VA=600 V to a point B, whose electric potential is zero. Velocity of the ball at point B is 20 cm s1. Velocity of the ball at point A is 
(Neglect gravitation)
  1. 16.7 cm s1 
  2. 2.8 ms1
  3. 2.8 cm s1
  4. 16.7 ms1


Solution

The correct option is A 16.7 cm s1 
Work done by electric force for motion of charge from A to B :-
(W)AB=ΔKE=qVAB
12mv2B12mv2A=q(VAVB)
VB=0,VA=600 V12mv2A=12mv2BqVA
v2A=v2B2qVAm
After solving
vA=16.7×102 m/sec
vA=16.7 cm/sec

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