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Question

An electron is rotating around an infinite positive linear charge in a circle of radius 0.1 m, if the linear charge density is 1μC/m, then the velocity of electron in m/s will be

A
0.562×107
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B
5.62×107
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C
562×107
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D
0.0562×107
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Solution

The correct option is B 5.62×107
REF.Image.
solution
Consider a Gaussian surface
which is cylindrical
symmetrical about the damage
so, Net flux =ginclosedϵ0
E(2πrl)=λle0
E=λ2πrϵ0
Here, Electrostatic force = centripetal force
(λ2πrϵ0)e=mv2r
v=λ02πϵ0π=2×92×109×106+3×1.759×108
v=5.62×107 option - B is correct.

1152178_1174962_ans_156ca3b173124e4bbd00a79031c5763c.jpg

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