Question

If the frequency of a wave increases, the wavelength will

O decrease
O increase
O disappear
O remain unchanged

Answer 1

the wavelength will decrease

Step-by-step explanation:

If the frequency of a wave increases, the wavelength will decrease. This is because the speed of the wave is constant for a given medium, so if the frequency (the number of waves passing a fixed point per second) increases, then the distance between successive wave crests (i.e., the wavelength) must decrease to maintain a constant speed. This relationship is described by the wave equation:

v = f λ

where v is the speed of the wave, f is the frequency, and λ is the wavelength. If v is constant and f increases, then λ must decrease to keep the equation balanced.