2. Waves and Oscillations

Standing Waves — Quiz

Test your understanding of standing waves with 5 practice questions.

Practice Questions

Question 1

A 1.6 m long string fixed at both ends is vibrating in its fourth harmonic. What is the wavelength of the wave on the string?

Question 2

In a closed pipe (closed at one end and open at the other), the first overtone is formed. What is the relationship between the length of the pipe $L$ and the wavelength $\lambda$ of the standing wave?

Question 3

A string fixed at both ends is vibrating in its second harmonic. The wave speed on the string is 180 m/s. If the frequency of the second harmonic is 90 Hz, what is the length of the string?

Question 4

An open pipe of length 1.5 m resonates at its third harmonic. What is the wavelength of the standing wave formed in the pipe?

Question 5

A closed pipe (closed at one end) has a resonant frequency of 170 Hz in its first harmonic. If the speed of sound in air is 340 m/s, what is the length of the pipe?