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Electric Field vs Magnetic Field

A steel wire ...

Question

A steel wire of linear mass density 9.8 g/m is stretched with a tension of 10 kg. It is kept between poles of an electromagnet and it vibrates in resonance when carrying an arc of frequency n. The frequency n is approximately

A

100 Hz

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B

200 Hz

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C

25 Hz

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D

50 Hz

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Solution

The correct option is D
50 Hz

$f = \frac{1}{2 l} \sqrt{\frac{T}{μ}} = \frac{1}{2} \sqrt{\frac{10 \times 9.8}{9.8 \times 10^{- 3}}} = \frac{10^{2}}{2} = 50 H z$

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