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# Wavelength to Frequency Calculator

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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

## Steps

Step 1: Read the problem and write down the given values of the problem.

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

## Problems

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