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Question

The electric intensity due to an infinite cylinder of radius R and  having charge q per unit length at a distance r(r > R) from its axis is


A
Directly proportional to r2
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B
Directly proportional to r3
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C
Inversely proportional to r
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D
Inversely proportional to r2
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Solution

The correct option is D Inversely proportional to r
According to Gauss law E.ds=qlϵ0
E.ds=2πrl; (E is constant)
E.2πrl=qlϵ0E=q2πϵ0r i.e. E1r

Physics

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