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In watching a transverse wave go by, a woman notes that 20 crests go by in a tim

ID: 1475154 • Letter: I

Question

In watching a transverse wave go by, a woman notes that 20 crests go by in a time of 7.6 s. If she measures the distance between two successive crests to be 0.6 m and if the first and the last points that pass her are crests, what is the speed of the wave?

A. 1.5 m/s
B. 8.0 x 10^-2 m/s
C. 0.24 m/s
D. 0.4 m/s

I think it's A. but I'm not sure...

I look the 7.6 s and divided it by 20 to get .38 seconds for the period, then took 1/.38 to get the frequency, then I multipled the frequency (2.63 s^-1) by the wavelength (0.6m) and got 1.56 m/s

Explanation / Answer

20 crests go by, first and last points are crests that is the distance travelled by the wave is equal to 19 wavelengths.

This distance was travelled by the wave in 7.6 s.

The distance between successive crests is 0.6 m, this is the wavelength.

so 19 x 0.6 = 7.6 x v, where v is the speed of the wave

v = 1.5 m/s answer is A

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