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प्रश्न
A 36 cm long sonometer wire vibrates with frequency of 280 Hz in fundamental mode, when it is under tension of 24.5 N. Calculate linear density of the material of wire.
उत्तर
Given:
l = 0.36m
T = 24.5N
n = 280Hz
To find:
m = ?
Formula:
n = `1/(2l) sqrt(T/m)`
Solution:
n = `1/(2l) sqrt(T/m)`
`2ln = sqrt(T/m)`
`4l^2n^2 = T/m`
`m = T/(4l^2n^2)`
m = 24.5/(4 × 0.362 × 2802)
m = 24.5/40642.56
m = 6.028 × 10-4 kg/m
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