A magnetic needle is kept in a uniform magnetic field of induction 0-5 - 10-4T - It makes 30 oscillations per minute- If it is kept in a field of induction 2 - 10-4T- then its frequency is -

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Standard XII

Physics

Pendulum in Non Inertial Frame

A magnetic ne...

Question

A magnetic needle is kept in a uniform magnetic field of induction $0.5 \times 10^{- 4} T$ . It makes $30$ oscillations per minute. If it is kept in a field of induction $2 \times 10^{- 4} T$ , then its frequency is :

1

oscillation/s

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60

oscillations/s

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15

oscillations/min

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1

oscillations/s

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Solution

The correct option is D $60$ oscillations/s
The time period of oscillation of a bar magnet freely suspended in air is given by
$T = 2 π \sqrt{\frac{I}{M B}}$
$\frac{f_{2}}{f_{1}} = \sqrt{\frac{B_{2}}{B_{1}}}$
$f_{2} = \sqrt{\frac{B_{2}}{B_{1}}} \times f_{1}$
$f_{2} = 60$ oscillations /sec

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