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In Fg. 5.4 (b). The magnetic needle has ...

In Fg. 5.4 (b). The magnetic needle has magnetic moment `6.7xx10^(-2)Am^(2)` and moment of inertia `=7.5 xx 10^(-6)kg m^(2)`. It performs 10 complete oscillations is 6.70 s. what is the magnitude of the magnetic field?

A

0.0016 T

B

0.16 T

C

1.6 T

D

0.021 T

Text Solution

Verified by Experts

The correct Answer is:
A
Here, `m=5.0xx10^(-2)` A `m^(2)`
T = 0.65 s, I = `8.5xx10^(-7)` Kg `m^(2)`
`B=(4pi^(2)I)/(mT^(2))=(4xx(3.14)^(2)xx8.5xx10^(-7))/(5xx10^(-2)xx(0.65)^(2))`
`" "=158.69xx10^(-5)` T = 0.0016 T
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