The extension in a string, obeying Hooke's law, is x. The speed of sound in the stretched string is v. If the extension in the string is increased to 1.5x, the speed of sound will be:
Correct answer: A. 1.22V1
- A. 1.22V1
- B. 0.61v
- C. 1.50v
- D. 0.75v
Explanation
Speed of sound V= square root (T/M)Where m is the mass per unit lengthFrom here we can see that V is proportional to square root (T)Also, T is proportional to xSo, V2/V1 = (1.5x/x)square rootV2= (1.5square root) x V1V2= 1.22V1
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Wave speed is the rate at which a disturbance or wave pattern travels through a medium, given by v = fλ, where f is frequency and λ is wavelength. Questions examine how speed changes between media, the relation among frequency, wavelength and period, and why wave speed is not the same as particle vibration speed.
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