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Q.

To is time period of oscillation of the needle in uniform horizontal magnetic field (BH) of the earth. If another magnetic field is applied perpendicular to BH such that the needle deflects by θ for its equilibrium. Now period of oscillation of the needle is T. The relation between T and To is :

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a

T2=T02cosθ

b

T=T0cosθ

c

T=T0cos θ

d

T2=T02cosθ

answer is A.

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Detailed Solution

B=BH tanθ ; B1=BHB2=BH2+BH2tan2θ ; B2=BH secθTT0=B2B1=BHBHsecθ=cosθT2=cosθ T02
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