SubjectCover

Question 79 of 122 in Properties of Waves

Wavelength and frequency

3 marks · Normal

A ripple tank is set up to demonstrate that increasing the frequency of waves changes the observed pattern.

Describe what happens to the wavelength of the water waves when the frequency is increased, and explain your answer using the wave equation.

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

Show answer

Wavelength decreases when frequency increases (if speed constant). Using v = f × λ, for constant speed v, increasing f means λ must decrease.

Also accept: Wavelength becomes shorter; As frequency increases, and if speed is constant, wavelength is less

Common mistakes: Thinking wavelength increases

Show mark scheme and worked solution

Marking points

B1 · 1 mark · Describes that wavelength decreases when frequency increases (for constant v).

M1 · 1 mark · Refers correctly to the wave equation (v = f × λ).

M1 · 1 mark · Explains for constant v, λ must decrease if f increases.

Worked solution

If the wave speed stays constant, increasing frequency (f) in the equation v = f × λ means the wavelength (λ) must become smaller so the product stays the same. So wavelength decreases.

Report a problem with this question
What's wrong?