JEE Main 2003 Physics question
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 . The frequency of the alternating source is
Answer: (1)
Solution
The force on the wire, , alternates at the frequency of the current, so resonance occurs when equals the wire's fundamental frequency (the middle point being an antinode). N, kg/m: $f =
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