Question

Calculate 

(a) wave number and 

(b) frequency of yellow radiation having wave length 5800 Å .

Answer 1

(a) Calculation of the wave number

\(\lambda\) = 5800 Å = 5800 × 10^-10 m

\(\bar{v}\) = \(\frac{1}{\lambda}\) = \(\frac{1}{5800\times10^{-10}}\)

= 1.724 × 10⁶ m⁻¹

= 1.724 × 10⁴ cm¹

(b) Calculation of frequency (v)

v = \(\frac{c}{\lambda}\) = \(\frac{3\times10^8ms^{-1}}{5800\times10^{-10}m}\)

= 5.172 × 10⁻¹⁴ s⁻¹