Wave equation Questionbank

If a wave has a frequency of $25\ \text{Hz}$, how many seconds does it take for one complete wave cycle to pass a fixed point?

Two sinusoidal waves, Wave A and Wave B, travel at the same speed in the same medium. Wave A has a distance of $12\text{ cm}$ between consecutive troughs. Wave B has a distance of $4\text{ cm}$ between consecutive troughs.

What is the ratio of the frequency of Wave B to the frequency of Wave A?

A transverse wave travels through a medium. A single particle within the medium is observed to take $0.10\ \text{s}$ to travel from its maximum positive displacement to its maximum negative displacement. If the wavelength of the wave is $1.2\ \text{m}$, what is the wave speed $v$?

In a longitudinal wave, how does the direction of particle oscillation relate to the direction of wave travel?

A mechanical vibrator creates $12$ complete oscillations in a time interval of $3.0\ \text{s}$. The frequency of the resulting wave is __________.

A seismic wave has a speed of $5.0\ \text{km s}^{-1}$ and a time period of $0.4\ \text{s}$. What is the spatial distance between two consecutive crests?

The diagram shows a transverse wave.

What wave quantities do $X$ and $Y$ represent?

The diagram shows a snapshot of a wave on a string. Five consecutive crests are shown.

What is the wavelength $\lambda$ of the wave?

The time period of an ultrasonic wave is $40\ \mu\text{s}$ ($40 \times 10^{-6}\ \text{s}$). What is the frequency of this wave?

A speaker produces a sound wave with a wavelength of $1.5\ \text{m}$ in a medium where the wave speed is $450\ \text{m s}^{-1}$. How many complete oscillations reach a sensor in a duration of $2.0\ \text{s}$?