Wave Equation

Front

What is the wave equation?

Back

The wave equation is a mathematical description of how waves propagate through a medium, typically expressed as v = fλ, where v is the wave speed, f is the frequency, and λ (lambda) is the wavelength.

Front

What is wavelength?

Back

Wavelength is the distance between successive crests (or troughs) of a wave, usually measured in meters.

Front

What is frequency?

Back

Frequency is the number of cycles of a wave that pass a given point per unit of time, typically measured in hertz (Hz).

Front

How do you calculate the speed of a wave?

Back

The speed of a wave can be calculated using the formula v = fλ, where v is the speed, f is the frequency, and λ is the wavelength.

Front

What is the relationship between frequency and wavelength?

Back

Frequency and wavelength are inversely related; as the frequency increases, the wavelength decreases, and vice versa, given a constant wave speed.

Front

If a wave has a speed of 74 m/s and a wavelength of 12 m, what is its frequency?

Back

The frequency can be calculated using the formula f = v/λ. Thus, f = 74 m/s / 12 m = 6.2 Hz.

Front

What is the formula to find wavelength if frequency and speed are known?

Back

Wavelength can be found using the formula λ = v/f, where v is the speed of the wave and f is the frequency.

Front

If a wave has a frequency of 5 Hz and a speed of 25 m/s, what is its wavelength?

Back

Using the formula λ = v/f, the wavelength is λ = 25 m/s / 5 Hz = 5 m.

Front

How do you calculate the speed of a wave if you know its frequency and wavelength?

Back

The speed of a wave can be calculated using the formula v = fλ.

Front

If a wave has a frequency of 50 Hz and a wavelength of 10 m, what is its speed?

Back

Using the formula v = fλ, the speed is v = 50 Hz * 10 m = 500 m/s.