Wave Behaviour

Two particles are oscillating in simple harmonic motion. Particle X is at its maximum positive displacement when Particle Y is at its maximum negative displacement. What is the phase difference between the two particles?

In a frictionless simple harmonic oscillator, at which point in the cycle is the kinetic energy of the system at its maximum?

A mass-spring system oscillates with a frequency of $5.0\text{ Hz}$. What is the time period of one complete oscillation?

A ray of light strikes a plane mirror at an angle of incidence of $25^{\circ}$. What is the total angle between the incident ray and the reflected ray?

In the context of the wave model, under which condition is the diffraction of a wave through a single slit most pronounced?

When a light wave travels from air into a block of glass, which property of the wave remains unchanged?

A string of length $L$ is fixed at both ends and vibrates in its second harmonic. Based on the sequence of points along the string, how many nodes and antinodes are present between the two fixed ends (excluding the ends themselves)?

A monochromatic light ray travels from air into a block of glass with a refractive index of $1.5$. Which of the following correctly describes the change in frequency, wavelength, and speed of the light?

Unpolarized light of intensity $I_0$ is incident on a linear polarizer. The light then passes through a second polarizer (analyzer) whose transmission axis is oriented at $60^{\circ}$ to the first. What is the intensity of the light emerging from the second polarizer?

An air column in a pipe that is closed at one end and open at the other resonates at its fundamental frequency. Which of the following describes the nodes and antinodes in this mode?

Which of the following statements is true for all particles located between two adjacent nodes in a stationary (standing) wave?

A string of length $L$ is fixed at both ends and vibrates in its fundamental mode. What is the wavelength $\lambda$ of the standing wave produced?

A siren emits a sound of frequency $600$ Hz. If the siren moves away from a stationary listener at $30\text{ m s}^{-1}$ and the speed of sound is $330\text{ m s}^{-1}$, what is the approximate frequency heard by the listener?

In astronomy, 'redshift' occurs when light from a distant galaxy is shifted toward longer wavelengths. This suggests that the galaxy is:

A source of sound is moving at a constant velocity $v_s$ as shown in the diagram. Observer A is behind the source, and Observer B is in front of the source. How do the frequencies observed by A and B compare to the source frequency $f$?