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Structure Of Atom

Question
CBSEENCH11005239

The frequency of D-line in the spectrum of sodium is 5.09 x 1014s-1. Calculate the wavelength of light.

Solution

Frequency of radiation
                             = 5.09 x 1014 s-1
Velocity of light  = 3 x 108 ms-1
We know,      straight lambda space equals straight c over straight v space equals space fraction numerator 3 cross times 10 to the power of 8 ms to the power of negative 1 end exponent over denominator 5.09 cross times 10 to the power of 14 straight s to the power of negative 1 end exponent end fraction
                         straight lambda subscript straight D space equals space 0.5890 space cross times space 10 to the power of negative 6 end exponent straight m
or                       straight lambda subscript straight D space equals space 5890 space straight Å space equals space 589 space nm