Question

If a wave's frequency doubles and its speedsty constant ,its wavelength is​

Answer 1

So the speed of a wave is defined by the number of wavelengths passing through a certain point per unit time (or put it other way, distance traveled by the crest of the wave in a given time interval), which is formulated as follows:

v = λ/T

Also f = 1/T (amount of time taken to complete one full cycle.)

Where v denotes speed of the wave, λ wavelength of the wave , f frequency of the oscillation and T period of the oscillation.

Substituting f for 1/T yields;

v = λ.f

So if you double the frequency and keep the speed constant, the wavelength halves to give the same speed with the doubled frequency.