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In Fig, the magnetic needle has magnetic...

In Fig, the magnetic needle has magnetic moment `6.7 xx 10^(-2) Am^(2)` and moment of intertia `I = 7.5 xx 10^(-6) kg m^(2)`. It performs 10 complete oscillations is 6.70s. What is the magnitude of the magnetic field ?

Text Solution

Verified by Experts

The time period of oscillation is,
`T=(6.70)/(10)=0.67s`
From Eq. (5.5)
`B=(4pi^(2)g)/(m T)`
`=(4 xx (3.14)^(2) xx 7.5 xx 10^(-6))/(6.7 xx 10^(-2) xx (0.67)^(2))`
=0.01T
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