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A sound wave propagating in air has a frequency of 4.03 kHz. Calculate the change in wavelength when the wave, initially traveling in a region where T 27.0°C, enters a region where T- 11.0°C. 2.55 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. mm Need Help? Read МУ Notes Ask Your T . 6. 1 points1 Previous Answers SerCP10 14P A stone is dropped from rest into a well. The sound of the splash is heard exactly 1.10 s later. Find the depth of the well If the air temperature is 12.0°C 6.82 Your response differs from the correct answer by more than 10%. Double check your calculations, m
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Answer #1

The wavelength lambda is related to the temperature as:

lambda = c sqrt{T}

where, c = speed of light, T = Temperature

Change in wavelength = lambda_{2}-lambda _{1}= c [sqrt{T_{2}}-sqrt{T_{1}}] = 3 imes 10^{8}[sqrt{11+273}-sqrt{27+273}] 3 × 108 V284-V3ool-3 × 108|-0.47.一一1.4 × 108

Percentage change in wavelength = × 100

1.4 × 108 3 × 108 × 1732

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