Answer:
(a) 0.277 m
(b) 0.553 m
Step-by-step explanation:
(a) For the closed cylinder,
Applying,
f' = v/4l............. Equation 1
Where f' = fundamental frequency, v = velocity of sound, l = lenght of the cylinder
make l the subject of the equation
l = v/4f'............. Equation 2
From the question,
Given: v = 343 m/s, f' = 310 Hz
Substitute these values into equation 2
l = 343/(4×310)
l = 0.277 m
(b) For the open cylinder,
f' = v/2l
l = v/2f'................ Equation 3
Substitute into equation 3
l = 343/(2×310)
l = 0.553 m