Calculate (a) wave number and (b) frequency of yellow radiation havi

1.	Calculate (a) wave number and (b) frequency of yellow radiation having wave length 5800 Å .
Answer» (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 × 10⁴cm¹ (b) Calculation of frequency (v) v = \(\frac{c}{\lambda}\) = \(\frac{3\times10^8ms^{-1}}{5800\times10^{-10}m}\) = 5.172 × 10⁻¹⁴ s⁻¹

Calculate (a) wave number and (b) frequency of yellow radiation having wave length 5800 Å .

Answer»

(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 × 10⁴cm¹

(b) Calculation of frequency (v)

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

= 5.172 × 10⁻¹⁴ s⁻¹