Q.

A charged ball B hangs from a silk thread S, which makes an angle θ with a large charged conducting sheet P, as shown in the figure. The surface charge density σ of the sheet is proportional to

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a

sin θ

b

tan θ

c

cos θ

d

cot θ

answer is B.

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Detailed Solution

T sin θ=qEand T cos θ=mg⇒tan θ=qEmg=qmgσ2ε0⇒σ∝tan θ
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A charged ball B hangs from a silk thread S, which makes an angle θ with a large charged conducting sheet P, as shown in the figure. The surface charge density σ of the sheet is proportional to