A tuning fork is sounded above an adjustable length resonating tube (one end closed),which resonates at a length of 0.250 m and again at 0.750 m.If the tube length were extended further,at what point will the tuning fork again create a resonance condition?
A) 1.75 m
B) 1.50 m
C) 1.25 m
D) 1.00 m

Question

Quizplus · Accepted Answer

The difference between the first and second resonance conditions is (0.750 m - 0.250 m) = 0.500 m, which represents a half wavelength of the sound wave. Thus, the wavelength of the sound wave is 2(0.500 m) = 1.000 m. To create the next resonance condition, the resonating tube length must be extended by another half wavelength, or 0.500 m. Therefore, the additional length of the tube must be 0.500 m - (0.750 m - 0.250 m) = 0.000 m, or the tube must be at a length of 0.750 m + 0.500 m = 1.250 m. Thus, the correct answer is C) 1.25 m.

A Tuning Fork Is Sounded Above an Adjustable Length Resonating