In case of a stationary wave pattern,which of | vedclass

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(D) For a stretched string,the fundamental frequency (first harmonic) is $n = \frac{v}{2l} = \frac{1}{2l} \sqrt{\frac{T}{m}}$.The frequency of the sec

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In the case of a stretched string when vibrated,the frequency of the first overtone is the same as the second harmonic.

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(D) For a stretched string,the fundamental frequency (first harmonic) is $n = \frac{v}{2l} = \frac{1}{2l} \sqrt{\frac{T}{m}}$.The frequency of the second harmonic is $2n = \frac{1}{l} \sqrt{\frac{T}{m}}$.The first overtone is the next possible frequency above the fundamental,which is $n_1 = \frac{2v}{2l} = \frac{v}{l} = \frac{1}{l} \sqrt{\frac{T}{m}}$.Comparing these,the frequency of the first overtone is equal to the frequency of the second harmonic.Therefore,option $D$ is correct.

In case of a stationary wave pattern,which of the following statements is $CORRECT$?

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