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Q.

If the angles of dip at two places are 30o and 45o respectively, then the ratio of horizontal components of earth's magnetic field at the two places will be

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a

3 : 2

b

1 : 2

c

1 : 3

d

1 : 2

answer is A.

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Detailed Solution

The horizontal components are BH1=B cosϕ1 and BH2=B cosϕ2∴BH1BH2= cosϕ1cosϕ2=cos30ocos45o=32 x 2=32
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If the angles of dip at two places are 30o and 45o respectively, then the ratio of horizontal components of earth's magnetic field at the two places will be