4. Waves and Optics

Superposition — Quiz

Test your understanding of superposition with 5 practice questions.

Practice Questions

Question 1

A string fixed at both ends is vibrating in its $n$-th harmonic. Which of the following expressions correctly relates the length of the string $L$ to the wavelength $\lambda$ of the standing wave?

Question 2

Two sound waves with frequencies $f_1$ and $f_2$ are played simultaneously, producing beats. If the beat frequency is $f_b = 8 \text{ Hz}$ and $f_1 = 340 \text{ Hz}$, what are the possible values for $f_2$?

Question 3

In a closed-end air column, the fundamental frequency corresponds to a standing wave where the length of the column $L$ is related to the wavelength $\lambda$ by which of the following expressions?

Question 4

Two waves are described by the equations $y_1 = A \sin(kx - \omega t)$ and $y_2 = A \sin(kx - \omega t + \phi)$. If the resultant wave has an amplitude of $0$, what is the phase difference $\phi$?

Question 5

A standing wave is formed on a string fixed at both ends. If the string is vibrating in its third harmonic, how many antinodes are observed?