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Q.

A large charged non-conducting sheet having surface charge density +σ coul / m2, is placed to the left of an uncharged matallic plate P as shown in figure. Then the inducted surface charge density on the right face of the plate P is

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a

σ

b

σ/2

c

σ/4

d

2σ

answer is B.

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Detailed Solution

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Field at a point inside the pate P is zero.

∴σ'2∈0+σ'2∈0-E=0 ⇒σ'=∈0E=∈0σ2∈0=σ2

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