In an experiment with sonometer when a mass of 180 g is attached to the string, it vibrates with fundamental frequency of 30 Hz. When a mass m is attached, the string vibrates with fundamental frequency of 50 Hz. The value of m is______g.
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(500)
The formula to calculate the fundamental frequency in a stretched string is given by
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For the first mass, it can be written that
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And, for the second mass, it can be written that
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Divide equation by equation and simplify to obtain the required mass.
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Substitute the values of the known parameters into equation to calculate the required mass.
=500g
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