A string of length 80 cm is fixed at both ends. If it vibrates in its fundamental mode at a frequenc

Question

A string of length 80 cm is fixed at both ends. If it vibrates in its fundamental mode at a frequency of 200 Hz, calculate the velocity of the wave on the string.

Answer 1

A string of length 80 cm is fixed at both ends. If it vibrates in its fundamental mode at a frequency of 200 Hz, calculate the velocity of the wave on the string.

320 m/s ✓
300 m/s
280 m/s
340 m/s

Explanation

A string fixed at both ends vibrates in its fundamental mode with one loop. So the length is half a wavelength.

λ = 2L = 2 × 0.80 m = 1.6 m.

v = fλ = 200 × 1.6 = 320 m/s.

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