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A compass needle oscillates 20 times per...

A compass needle oscillates 20 times per minute at a place where the dip is `45^@` and 30 times per minute where the dip is `30^@`. Compare the total magnetic field due to the earth at the two places.

A

`1.51`

B

`1.83`

C

`1.63`

D

`1.23`

Text Solution

Verified by Experts

The correct Answer is:
B
`(B_(H2))/(B_(H1))=(T_(1)^(2))/(T_(2)^(2))rArr(B_(2) cos delta_(2))/(B_(1) cos delta_(1))=(T_(1)^(2))/(T_(2)^(2))`
`therefore(B_(2))/(B_(1))=(T_(1)^(2) cos delta_(1))/(T_(2)^(2) cos delta_(2))`
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