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A metal wire of linear mass density of 9.8 ~g / m is stretched with a tension of 10 ~kg -wt between two rigid supports 1 metre apart. The wire passes at its middle point between the poles of a permanent magnet, and it vibrates in resonance when carrying an alternating current of frequency n . The frequency n of the alternating source is

Options

  1. A50 ~Hz
  2. B100 ~Hz
  3. C200 ~Hz
  4. D25 ~Hz

Correct answer

A. 50 ~Hz

Step-by-step solution

n= 1 2 l T ; I=1 m T =10 Kg wt. =10 10=100 ~N =9.8 ~g / m =9.8 10⁻³ ~kg / m n =50 hz

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