Yellow light emitted from a sodium lamp has a wavelength (λ) of 580 nm. Calculate the frequency (ν) and wavenumber (ν ) of the yellow light.

Asked by Pragya Singh | 1 year ago |  100

##### Solution :-

Rearranging the expression,

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

the following expression can be obtained,

$$nu =\dfrac{c}{ \lambda }$$     ……….(1)

Here, $$\nu$$ denotes the frequency of the yellow light

c denotes the speed of light $$3\times 10^{8}\, m/s$$

$$\lambda$$ denotes the wavelength of the yellow light

$$(580,580\times 10^{-9}\, m/s )$$

Substituting these values in eq. (1):

$$\nu =\dfrac{3\times 10^{8}}{580\times 10^{-9}}=5.17\times 10^{14}\, s^{-1}$$

Therefore, the frequency of the yellow light which is emitted by the sodium lamp is:

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

The wave number of the yellow light is

$$\bar{\nu }=\dfrac{1}{\lambda }=\dfrac{1}{580\times 10^{-9}}=1.72\times 10^{6}\, m^{-1}$$

Answered by Abhisek | 1 year ago

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