Let\'s say I stretch a spring 8 meters intially and measuredit\'s wave speed (vi

Question

Let's say I stretch a spring 8 meters intially and measuredit's wave speed (via tension and mass per unit length) as well asother aspects of the wave of the spring at that length. If I stretch the same spring longer to say 10-11 meters. Howwould it affect: a.) The wavespeed (via tension and mass per unit length) b.) Standing wave wavelengths c.) Standing wave vibration frequencies This is assumed that the spring tension obeys Hooke's Law whenstreched. I just want a general answer to these questions, thoughproviding formulae would be nice. Let's say I stretch a spring 8 meters intially and measuredit's wave speed (via tension and mass per unit length) as well asother aspects of the wave of the spring at that length. If I stretch the same spring longer to say 10-11 meters. Howwould it affect: a.) The wavespeed (via tension and mass per unit length) b.) Standing wave wavelengths c.) Standing wave vibration frequencies This is assumed that the spring tension obeys Hooke's Law whenstreched. I just want a general answer to these questions, thoughproviding formulae would be nice.

Explanation / Answer

When the string is stretched further, its mass per unit lengthdecreases, thereby the speed of wave increases.
(Since v = (T/)) when speed increases then wavelength also increases. But frequency remain unchanged.

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