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A magnetic needle of magnetic moment 6*7...

A magnetic needle of magnetic moment `6*7xx10^-2Am^2` and moment of inertia `7*5xx10^-6kgm^2` is performing simple harmonic oscillations in a magnetic field of `0*01T`. Time taken for 10 complete oscillation is

A

`6*98s`

B

`8*76s`

C

`6*65s`

D

`8*89s`

Text Solution

Verified by Experts

Here, `M=6*7xx10^-2Am^2`
`I=7*5xx10^-6kgm^2`
`B=0*01T`, `t=?`
If T is time period of vibration of needle, then
`T=2pisqrt((I)/(MB))=2xx22/7sqrt((7*5xx10^-6)/(6*7xx10^-2xx0*01))`
`T=0*665s`
For 10 complete oscillations,
`t=10T=10xx0*655s=6*65s`
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