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Question

Based on the given graph between electric field (E) and distance (r) from axis of the infinite uniformly charged solid non-conducting cylinder, the charge density is
[R is radius of cylinder]


A
2.8×1011 C/m3
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B
0.8×1011 C/m3
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C
3.8×1011 C/m3
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D
1.8×1011 C/m3
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Solution

The correct option is D 1.8×1011 C/m3
We know that the electric field (E) at a distance (r) from the axis of an infinite uniformly charged solid non-conducting cylinder inside it is given by
E=ρr2ϵ0 where ρ is charge density
Er=ρ2ϵ0
tan45=ρ2ϵ0 [from graph]
ρ=2ϵ0
ρ=2×9×1012
ρ=1.8×1011 C/m3

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