The frequency of the tuning fork is D. 56 Hz
How to find frequency?
To find the frequency of the tuning fork, find the relationship between the number of oscillations, the distance fallen, and the time taken for the plate to fall:
Number of oscillations (n) = 8
Distance fallen (d) = 10 cm
= 0.1 m
Frequency (f) = number of oscillations / time
Time (t) can be calculated using the equation for freefall:
t² = 2d / g,
where g = acceleration due to gravity (approximately 9.81 m/s²).
Substitute the given values:
t² = 2 × 0.1 m / 9.81 m/s²
≈ 0.0204 seconds
Take the square root to get the time:
t ≈ 0.143 seconds
Calculate frequency:
f = n / t
f = 8 oscillations / 0.143 seconds
f ≈ 56 Hz
Therefore, the frequency of the tuning fork is 56 Hz. This means it vibrates 56 times per second, producing the corresponding sound wave with a frequency of 56 Hz.