Question

What is the wavelength of an earthquake wave if it has a speed of 14 km/s and a frequency of 4 Hz?

Answer 1

Answer: The correct answer is 3500 m.

Step-by-step explanation:

The expression for the relation between the speed of the wave and frequency is as follows;

`v=f\lambda`

Here, f is the frequency of the wave, v is the speed of the wave and
`\lambda` is the wavelength of the wave.

It is given in the problem that the earthquake wave has a speed of 14 km/s and a frequency of 4 Hz.

Calculate the wavelength of an earthquake by using above expression.

Put v= 14 km/s and f= 4 Hz.

`14 =(4)\lambda`

`\lambda= 3.5 km`

Convert km into m by multiplying 1000.

`\lambda= 3500 m`

Therefore, the wavelength of an earthquake is 3500 m.

Answer 2

Answer: Wavelength = 3.5 km

Step-by-step explanation:
The wave equation is given as:
v = f * λ --- (1)

Where v = speed of the earthquake wave = 14 km/s = 14 * 1000 m/s
f = frequency of the earthquake wave = 4 Hz
λ = wavelength of the earthquake wave = ?

Plug in the values in Equation (1):

(1) => 14 * 1000 = 4 * λ
λ = 3500 m
λ = 3.5 km