Question

If you decrease the distance between successive crests of a wave, this changesA. The frequency.B. The wavelength.C. The speed.D. Both the wavelength and the speed.E. Both the wavelength and the frequency

Answer 1

Decreasing the distance between successive crests of a wave results in a shorter wavelength and an increased frequency without affecting the speed of the wave. The correct answer to the student's question is E. Both the wavelength and the frequency.

Step-by-step explanation:

If you decrease the distance between successive crests of a wave, this changes the wavelength and the frequency of the wave. Decreasing the distance between the crests means the wavelength is shorter, and since wavelength and frequency are inversely related, the frequency increases. However, this does not necessarily change the speed of the wave, which is determined by the medium through which the wave is traveling. Therefore, the correct answer is E. Both the wavelength and the frequency.

Wavelength is defined as the distance between any two consecutive identical points on the waveform, typically measured from crest to crest or trough to trough. When the period of a wave increases, its frequency decreases. This is because the frequency is the number of wave cycles that pass a point in one second, and if the period (the time for one cycle) increases, fewer cycles can pass in the same amount of time.

Answer 2

option E

Step-by-step explanation:

The correct answer is option E

Writing the relation between wavelength and frequency

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

f is the frequency

v is the velocity of wave

λ is the wavelength

From the above expression we can clearly see that frequency is inversely proportional to wavelength.

When the distance between the two successive crest is decreased then wave length of the wave also decrease.

If wavelength of the wave decreases then frequency of the wave increase.

hence, we can say that both wavelength and the frequency changes.