The frequency of the lowest standing wave mode on a 1.0-m-long string is 40 Hz. What is the wave speed on the string?a) 20 m/s b) 40 m/sc) 60 m/sd) 80 m/s
The frequency of the lowest standing wave refers to the fundamental frequency.
For fundamental frequency, the formula is:
f = v/(2L) where f is the fundamental frequency
v is speed of the wave
L is the length of the string.
To determine the speed of the wave, substitute values of f and L to the formula.
f = v/(2L)
40 = v/(2*1)
40 = v/2
v = 80
The speed of the wave is 80 m/s.
Answer: (d) 80 m/s