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Structure Of Atom

Question
CBSEENCH11005242

Yellow light emitted from a sodium lamp has a wave length (λ) of 580 nm (or 5800Å). Calculate the frequency (v) and wave number ⊽ of the yellow light. 

Solution

Here,     space straight lambda space equals space 580 space n m space equals space 580 space cross times space 10 to the power of negative 9 end exponent straight m
Wave space number space open parentheses straight v with bar on top close parentheses space equals space 1 over straight lambda space equals space fraction numerator 1 over denominator 580 space cross times space 10 to the power of negative 9 end exponent straight m end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1.72 space cross times space 10 to the power of 6 straight m to the power of negative 1 end exponent
Frequency comma space left parenthesis straight v right parenthesis space equals space straight c over straight lambda space equals space fraction numerator 3 cross times 10 to the power of 8 space ms to the power of negative 1 end exponent over denominator space 580 space cross times 10 to the power of negative 9 end exponent straight m end fraction
space space space space space space space space space space space space space space space space space space space space space equals space 5.17 space cross times space 10 to the power of 14 space straight s to the power of negative 1 end exponent