Question

once tapped with a rubber hammer, the tines of a tuning fork begin vibrating. a computer - interfaced microphone detects the resulting vibrations of the surrounding air, providing the plot of pressure as a function of time. consider the two cases below. in which case does the tuning fork have the greatest frequency? there are two charts: case a and case b, showing pressure deviation (in db) as a function of time. the question is to determine which case (a or b) has the greatest frequency, with a tap me! button for selection.

Explanation:

Step1: Define frequency

Frequency $f = \frac{\text{Number of cycles}}{\text{Time interval}}$

Step2: Compare cycle counts

Case A has ~9 cycles in 0.1s; Case B has ~6 cycles in 0.1s.

Step3: Calculate relative frequencies

Case A: $f_A = \frac{9}{0.1} = 90$ Hz
Case B: $f_B = \frac{6}{0.1} = 60$ Hz

Step4: Compare frequencies

$90 > 60$, so $f_A > f_B$

Answer:

Case A