a) When a certain string is clamped at both ends, the lowest four resonant frequ

Question

a) When a certain string is clamped at both ends, the lowest four resonant frequencies are 50, 100, 150, and 200 Hz. When the string is also clamped at its midpoint, the lowest four resonant frequencies are:
A) 50, 100, 150, and 200 Hz
B) 50, 150, 250, and 300 Hz
C) 100, 200, 300, and 400 Hz
D) 25, 50 75, and 100 Hz
E) 75, 150, 225, and 300 Hz

b) A 30-cm long string, with one end clamped and the other free to move transversely, is vibrating in its second harmonic. The wavelength of the constituent traveling waves is:

A) 10 cm

B) 30 cm

C) 40 cm

D) 60 cm

E) 120 cm

Explanation / Answer

a) C) 100, 200, 300, and 400 Hz
b) B) 30 cm 

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