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Q.

In a tangent galvanometer the current is proportional to the tangent of angle of deflection. If the defelction is 45∘ and error of 1% is made in reading it, then percentage error in the current is

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a

π

b

π3

c

π4

d

π2

answer is B.

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Detailed Solution

c=Ktan⁡θ⇒log⁡c=log⁡k+log⁡tan⁡θ

⇒δcc×100=sec2⁡θTan⁡θδθ ×100=π2

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