Question

The wave number of radiation is 97,540cm-1 calculate the frequency ¿¡

Answer 1

wave no. =1/wavelength 
calculate wavelength 
now frequency = c/wavelength ( all in s.I units )
final answer -: 2.92*10^13

Thanks to Cvivek with the answer

Answer 2

Answer:

ν =$2.927$×$10^{15}$ $s^{-1}$

Explanation:

Given:

Wavenumber =  $97540 cm^{-1}$

To find: Frequency of radiation.

Explanation:

Wavenumber is defined as the reciprocal of the wavelength of a radiation.

$Wavenumber = \frac{1}{Wavelength}$

And frequency is expressed as-

ν =C/λ

In this expression C represents speed of light and λ represents wavelength.

Now, from the given value of wavenumber, we can calculate the wavelength of radiation as-

λ=$\frac{1}{Wavenumber} =\frac{1}{97540 cm^{-1} } = 1.025$×$10^{-5}$

Now, wavelength, λ = $1.025$×$10^{-5}$

Speed of light, C =$3.0$×$10^{10} cm/s$

Thus, frequency is calculated as-

ν=$\frac{(3.0 * 10^{10}) }{(1.025*10^{-5}) }$

ν =$2.927$×$10^{15}$ $s^{-1}$

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