A standing wave is formed on a string at the fundamental mode of oscillation. If

Question

A standing wave is formed on a string at the fundamental mode of oscillation. If the tension is doubled (without changing the string length), by what factor will the frequency and wavelength of the standing wave change? Explain your answer (including any relevant formulas). A fire truck siren is emitting waves at a frequency of. The fire truck is driving towards a semi-truck at a speed of 12.0 m/s while the semi-truck drives away from the fire truck at a speed of 15.0 m/s. What beat frequency between the siren and the sound waves reflected from the back of the semi will a fireman onboard the fire truck perceive?

Explanation / Answer

4) Here , for the frequency of standing wave

frequency of standing wave = sqrt(T/u)/(2L)

where u is the mass per unit length of the string

T is the tension in the string

L is the length

when T is doubled

frequency of the wave will be sqrt(2) times

and the fundamental wavelength will still be 2L

hence , the wavelength will not change.

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