Question

Can you perceive the shift in frequency produced when you pull a tuning fork toward you at 10.0 m/s on a day when the speed of sound is 344 m/s? To answer this question, calculate the factor by which the frequency shifts and see if it is greater than 0.300%.

a) Yes, greater than 0.300%
b) Yes, less than 0.300%
c) No, greater than 0.300%
d) No, less than 0.300%

Answer 1

Yes, you can perceive the frequency shift produced when you pull a tuning fork toward you at 10.0 m/s. The factor by which the frequency shifts is less than 0.300%. Option (B) is correct.

Step-by-step explanation:

Yes, you can perceive the frequency shift produced when you pull a tuning fork toward you at 10.0 m/s on a day when the speed of sound is 344 m/s. This phenomenon is known as the Doppler effect, which causes a change in frequency due to the relative motion between the source of the sound waves (the tuning fork) and the observer (you).

First, let's calculate the factor by which the frequency shifts:

Shift in Frequency = (Speed of the Observer / Speed of Sound) * Original Frequency

Shift in Frequency = (10.0 m/s / 344 m/s) * Original Frequency

Shift in Frequency = 0.0291 * Original Frequency

Next, determine if the frequency shift is greater than 0.300%:

Shift in Frequency / Original Frequency = 0.0291

0.0291 is less than 0.300% (0.003), so the factor by which the frequency shifts is less than 0.300%. Therefore, the correct answer is b) Yes, less than 0.300%.