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Q.

A certain amount of current when flowing in a properly set tangent galvanometer, produces a deflection of 45o. If the current be reduced by a factor of 3, the deflection would

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a

Decrease by 30o

b

Decrease by 15o

c

Increase by 15o

d

Increase by 30o

answer is B.

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Detailed Solution

In tangent galvanometer, I∝tan θ∴I1I2=tan θ1tan θ2⇒I1I1/3=tan 45otan θ2⇒3 tanθ2=1⇒tanθ2=13⇒θ2=30oSo deflection will decrease by 45o-30o=15o

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