Question

Yellow light emitted from a sodium lamp has a wavelength of 580 nm . Calculate the frequency and the wave number of the yellow light .

Answer 1

Answer:

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Explanation:

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Answer 2

GIVEN :-

• Wavelength , $\sf \lambda = 580 \ nm = 580 \times 10^{-9} \ m$

     

TO FIND :-

• Frequency ( $\sf \nu$ )
• Wave number ( $\sf \bar\nu$ )

SOLUTION :-

   From the equation , $\sf\lambda =\dfrac{c}{\nu}$

    We get , $\sf\nu = \dfrac{c}{\lambda}$

   

   Where , $\nu$ = Frequency of yellow light

                  $\sf c$ = Velocity of light in vacuum

                  $\lambda$ = Wavelength of yellow light

              $\hookrightarrow \nu \sf =\dfrac{c}{\lambda}$

                      $= \sf \dfrac{3\times 10^8}{580 \times 10^{-9}}$

                      $\bf = 5.17 \times 10^{14} \ s^{-1}$

              $\hookrightarrow \sf \bar \nu = \dfrac{1}{\lambda}$

                      $= \sf \dfrac{1}{580\times10^{-9}}\\\\= \bf 1.72 \times 10^6 \ m^{-1}$