Yellow light emitted from a sodium lamp has a wavelength $$($$λ$$)$$ of $$580$$ nm, the frequency (v$$¯$$) of the yellow light is $$5.1724$$×$$10xs$$−$$1$$. The value of x is

Wavelength of yellow light $$=580nm=580$$×$$10$$−$$9m$$ c (velocity$$ of $$light) $$=3.0$$×$$108ms$$−$$1$$ ∴ Frequency, $$(v)=c$$λ$$=3.0$$×$$108ms$$−$$1580$$×$$10$$−$$9m$$ $$=5.1724$$×$$1014s$$−$$1$$

Electromagnetic radiation and spectra

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Question

Yellow light emitted from a sodium lamp has a wavelength ( $λ$ ) of 580 nm, the frequency $(\bar{v})$ of the yellow light is $5 .1724 \times 10^{x} s^{- 1}$ . The value of x is

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Solution

$Wavelength of yellow light = 580 nm = 580 \times 10^{- 9} m c (velocity of light) = 3 .0 \times 10^{8} {ms}^{- 1} ∴ Frequency, (v) = \frac{c}{λ} = \frac{3 .0 \times 10^{8} {ms}^{- 1}}{580 \times 10^{- 9} m} = 5 .1724 \times 10^{14} s^{- 1}$

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