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Torques tau(1) and tau(2) are required f...

Torques `tau_(1)` and `tau_(2)` are required for a magnetic needle to remain perpendicular to the magnetic fields at two different places. The magnetic field at those places are B1 and B2 respectively, then `(B_(1))/(B_(2))` is

A

`tau_(2)/tau_(1)`

B

`(tau_(1) + tau_(2))/(tau_(1) - tau_(2))`

C

`tau_(1)/tau_(2)`

D

`(tau_(1) - tau_(2))/(tau_(1) + tau_(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Torque = `MB sin theta`
`tau_(1) = MB_(1) sin 90^(@) = MB_(1)`
`tau_(2) = MB_(2) sin 90^(@) = MB_(2)`
`tau_(1)/tau_(2) = (MB_(1))/(MB_(2)) = B_(1)/B_(2) = tau_(1)/tau_(2)`
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