This calculator helps to find out frequency if the wavelength is given. Wavelength and frequency are inversely proportional to each other. That is, if the frequency of a wave is high, the wavelength of the corresponding wave is small and vice versa. The relationship between the wavelength and frequency can be written as,

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

where,

$\lambda$ = wavelength of wave

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

f = frequency of a wave

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

where,

$\lambda$ = wavelength of wave

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

f = frequency of a wave

Step 2: By using the wavelength formula $\lambda =\frac{\nu }{f}$, plug in the values and determine the unknown parameter.

Given below are some of the solved problems based on wavelength to frequency.

### Solved Examples

**Question 1:**If wavelength of radiation is 442 nm, calculate its frequency.

**Solution:**

Step 1: Given :

We know that, velocity of the light $\nu $ = $3 \times 10^8$ m/s

wavelength $\lambda$ = 442 nm = $4.42 \times 10^{-7} m$

frequency = ?

Step 2: We know that,

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

$4.42 \times 10^{-7} m$ = $\frac{3 \times 10^8 m/s}{f}$

f=$\frac{3 \times 10^8 m/s}{4.42 \times 10^{-7} m}$

$f=6.79 \times 10^{14} s^{-1}$

Therefore, frequency of radiation is $6.79 \times 10^{14} s^{-1}$.

**Question 2:**What is the frequency of an electromagnetic wave whose wavelength is 625 nm?

**Solution:**

Step 1: Given :

We know that, velocity of the light $\nu $ = $3 \times 10^8$ m/s

wavelength $\lambda$ =625 nm= $6.25 \times 10^{-7} m$

frequency = ?

Step 2: We know that,

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

$6.25 \times 10^{-7} m$ = $\frac{3 \times 10^8 m/s}{f}$

f=$\frac{3 \times 10^8 m/s}{6.25 \times 10^{-7} m}$

$f=4.80 \times 10^{14} s^{-1}$

Therefore, frequency of an electromagnetic wave is $4.80 \times 10^{14} s^{-1}$.