Many forms of waves like light waves, radio waves travel in space making certain shape and length. The distance measured between the peaks of the wave is called as the wavelength. All waves are not equal. When two waves travel at same speed, high frequency wave will have short wavelength.

This online wavelength calculator will calculate wavelength or frequency according to the given problem.

This online wavelength calculator will calculate wavelength or frequency according to the given problem.

Step 2: Substitute those values in the wavelength formula,

$\lambda$ =$\frac{\nu }{f}$

where,

$\lambda$ = wavelength

$\nu $ = velocity of the wave = $3 \times 10^8$ m/s

f = frequency

and determine the unknown parameter.

Below are some problems based on wavelength.

### Solved Examples

**Question 1:**If wavelength of red light is 700nm, find its frequency if the speed of light is $3 \times 10^8 m/s$.

**Solution:**

Step 1: Given :

wavelength of red light ($\lambda$)= 700nm = $700 \times 10^{-9} m$

speed of light ($\nu$)= $3 \times 10^8 m/s$

Frequency (f)= ?

Step 2: frequency of red light is,

f=$\frac{\nu}{\lambda}$

f=$\frac{3 \times 10^8 m/s}{700 \times 10^{-9} m}$

f=4.29Hz

Therefore, frequency of red light is 4.29Hz.

**Question 2:**Find the wavelength of a wave with 60Hz frequency.

**Solution:**

Step 1: Given :

we know that,

speed of light ($\nu$)= $3 \times 10^8 m/s$

Frequency (f)= 60Hz

wavelength ($\lambda$) = ?

Step 2: wavelength of a wave,

$\lambda$ =$\frac{\nu }{f}$

$\lambda$ =$\frac{3 \times 10^8 m/s}{60Hz}$

$\lambda$ = 5000000m

Therefore, the wavelength of a wave is 5000000m.