Question

Calculate the wave speed (in m/s) for the following waves:

a) A sound wave in steel with a frequency of 500 Hz and a wavelength of 3.0 metres.
b) a ripple on a pond with a frequency of 2 Hz and a wavelength of 0.4 metres.
c) A radio wave with a wavelength of 30 m and a frequency of 10,000,000 hertz.

Answer 1

The wave speed (v) can be calculated using the formula v = f * λ. For the given waves, we can calculate their respective wave speeds.

Step-by-step explanation:

The wave speed (v) can be calculated using the formula v = f * λ, where v is the wave speed, f is the frequency, and λ is the wavelength.

a) For the sound wave in steel with a frequency of 500 Hz and a wavelength of 3.0 metres:

1. Substituting the given values into the formula, we get v = 500 Hz * 3.0 m = 1500 m/s.

b) For the ripple on a pond with a frequency of 2 Hz and a wavelength of 0.4 metres:

1. Using the formula, we get v = 2 Hz * 0.4 m = 0.8 m/s.

c) For the radio wave with a wavelength of 30 m and a frequency of 10,000,000 Hz:

1. Applying the formula, we find v = 10,000,000 Hz * 30 m = 300,000,000 m/s.