(1) 3) Which one statement below is not a proper definition for the wavelength of a wave? A. The wavelength is the distance between successive crests for a wave. B. The wavelength is the speed of the wave multiplied by the period. C. The wavelength is the speed of the wave divided by the frequency. D. The wavelength is the distance between a trough and the next crest for a wave.

 

option D

Look below for explanations.

Step-by-step explanation

The wavelength of a wave is defined as the distance between 2 successive crests or troughs. So option A is a correct definition.

Now frequency f, wavelength ?λ? and velocity v are related by the equation

v=f?λ?

or

?λ?=v/f

So option C is a correct definition.

now time period T=1/f. So the last equation becomes

?λ?=v/f=vT

So option B is a correct definition.

Now option D is incorrect as wavelength is the distance between identical points (for example adjacent crests or adjacent troughs) in the adjacent cycles. So distance between a crest and a trough is not a wavelength(It will be only a half of wavelength).

Feel free to ask if you require any further clarifications.