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Q.

A magnetic compass needle oscillates 30 times per sec at a place where the dip angle is 45o, and 40 times per second where the dip angle is 30o.  If B1 and B2 are respectively the total magnetic field due to the earth at the two places, then the ratio B1/B2 is nearly equal to :

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a

0.7

b

3.6

c

1.8

d

2.2

answer is A.

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Detailed Solution

n=12πMBH1BH=Becosϕn1n2=B1cosϕ1B2cosϕ23040=B1cos450B2cos30∘B1B2=916×62=0.68
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