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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

A transverse wave is produced on a stretched string 0.9 m long and fixed at its ends. Find the speed of the transverse wave, when the string vibrates while emitting second overtone of frequency - Physics

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प्रश्न

A transverse wave is produced on a stretched string 0.9 m long and fixed at its ends. Find the speed of the transverse wave, when the string vibrates while emitting the second overtone of frequency 324 Hz.

बेरीज

उत्तर

Length of the string L = 0.9 m

For second overtone frequency (or third harmonic mode of vibration) n = 3.

Frequency of nth mode of vibration when the string is fixed at both ends ν = `"nv"/"2L"`​
`∴ 324 = ("3v"​)/(2 xx 0.9)`
 
⟹ v = `(324 xx 0.9 xx 2)/3` ​= 194.4 m/s
We get speed of transverse wave, v = 194.4 m/s.
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2016-2017 (March)

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