Question

A harmonic wave is traveling along a rope. It is observed that the oscillator that generates the wave completes 37.6 vibrations in 27.9 s. Also, a given maximum travels 450 cm along the rope in 11.3 s. What is the wavelength? Answer in units of cm.

Answer 1

`\lambda = 25.79\ cm`

Step-by-step explanation:

given,

Wave vibrates = 37.6

time = 27.9 s

maximum distance travel = 450 cm

time = 11.3 s

wavelength = ?

frequency of wave

`f=(37.6)/(27.9)`

f = 1.35 Hz

Speed of wave

`v = (450)/(11.3)`

v = 39.82 cm/s

wavelength of wave

v = fλ

`\lambda =(v)/(f)`

`\lambda =(34.82)/(1.35)`

`\lambda = 25.79\ cm`

Hence, wavelength of the wave is equal to 25.79 cm.