Standing Waves Practice

10 problems · instant feedback · full explanations

Standing waves form when a wave reflects and interferes with itself. Boundary conditions pick the allowed wavelengths — that's where harmonics come from.

Q1.

What is a node in a standing wave?

Multiple choice · Easy

Q2.

A 1.2 m string fixed at both ends has wave speed 240 m/s. What is the fundamental frequency?

Numerical answer (Hz) · Medium

Q3.

If the fundamental of a string is 100 Hz, what is the third harmonic?

Numerical answer (Hz) · Medium

Q4.

On a string fixed at both ends, the ends are always:

Multiple choice · Easy

Q5.

An open pipe 0.34 m long resonates with wavelength 0.68 m. If sound speed is 340 m/s, what is the frequency?

Multiple choice · Medium

Q6.

A standing wave on a string has nodes at 0, 20, 40 and 60 cm. What is the wavelength?

Multiple choice · Hard

Q7.

In a standing wave, no net energy flows along the string.

True / False · Easy

Q8.

Antinodes are the points of zero displacement in a standing wave.

True / False · Medium

Q9.

A 1 m string with wave speed 440 m/s vibrates in its second harmonic. What is the frequency?

Numerical answer (Hz) · Hard

Q10.

A singer shattering a wine glass with the right note demonstrates:

Multiple choice · Hard