Question

A harmonic wave is traveling along a rope. the oscillator that generates the wave completes 46.0 vibrations in 26.0 s. a given crest of the wave travels 415 cm along the rope in a time period of 11.7 s. what is the wavelength? answer in units of m.

Answer 1

the crest of the wave has traveled 415 cm in 11.7s. then the crest should have travelled 415/11.7 cm in one second i.e. 35.47cm. Then the crest should have travelled 26*35.47 cm in 26 seconds i.e. 922.2cm which has 46 vibrations in it.
so for length of each vibration (Wavelength) is 20 cm