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Question
State the ways by which the frequency of transverse vibrations of a stretch string can be increased
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Solution
The frequency of transverse vibration is given by
f = `1/(2l) sqrt(T/(pir^2d))`
or `f = 1/(2l) sqrt(T/m)`
where l = length of the vibrating string
T = tension in the string
m = mass per unit length of the string
Therefore, the frequency of transverse vibration of a stretched string can be increased by
1) decreasing the length of the string
2) decreasing the radius of the string
3) increasing the tension T in the string
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