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Question: Answered & Verified by Expert
An oil drop carrying a charge q has a mass m kg. It is falling freely in air with terminal speed v. The electric field required to make the drop move upwards with the same speed is
PhysicsElectromagnetic WavesJEE Main
Options:
  • A mgq
  • B 2mgq
  • C mgvq2
  • D 2mgvq
Solution:
1276 Upvotes Verified Answer
The correct answer is: 2mgq
QV = 4 3 π r 3 ρ g

When the oil drop is falling freely under the effect of gravity is a viscous medium with terminal speed v, then

mg=6π η r v                   ...(i)

To move the oil drop upward with terminal velocity v if E is the electric field intensity applied, the

Eq=mg+6πηrv=mg+mg=2mg

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