Question

What is the speed of a wave with a frequency of 50 Hz and a wavelength of 10 meters

Answer 1

Working out:

In the above question, we are given with two different quantities of wave i.e. frequency and wavelength.

GiveN:

• Frequency = 50 Hz
• Wavelength = 10 m

We have to find the speed of the wave.

So let's start solving by using the formula,

• Speed = frequency × wavelength

$\boxed{ \sf{v = \nu \times \lambda}}$

This is just the symbolic representation of the given quantities. So, let's plug in the values to get the speed of the wave.

$\sf{ \longrightarrow{v = 50 \: hz \times 10 \: m}}$

Removing the units,

$\sf{ \longrightarrow{v = 50 \times 10}}$

$\sf{ \longrightarrow{v = 500 \: m {s}^{ - 1} }}$

Since units of frequency and wavelength were in SI unit system. So, the Unit of velocity = m/s

So, our required speed of the wave:

$\large{ \boxed{ \sf{ \red{500 \: m {s}^{ - 1} (Answer)}}}}$

And we are done !!