(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

There is this experiment regarding the frequency of AC mains using a sonometer and I found a slight confusion with the formula. there is an electromagnet attached to a step down transformer and a wire is placed below the electromagnet, and by varying the length and tension, one has to get the maximum amplitude deflection,so as to match the natural frequency of the wire with the electromagnet.

2. Relevant equations

the frequency of oscillation of a wire is given by

f=1/2L√T/μ

where, L= length of wire

T=Tension in the string

μ=Mass per unit length

3. The attempt at a solution

the formula gives the frequency of the wire, not the AC mains. Here in India, AC mains frequency is 50 Hz, so the electromagnet gets magnetized and demagnetized twice in a cycle so the wire should be pulled towards the electromagnet 100 times. So should I halve the frequency that I get from the above formula to get the frequency of AC mains?

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# To find out the frequency of AC mains using a sonometer

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