Answer:
6.49 × 10⁻⁷ m (or) 649 nm
Explanation:
Wavelength and Frequency are inversely proportional to each other. Greater the wavelength smaller the frequency and vice versa.
Solution:
The relation between wavelength and frequency is as follow,
υ = c / λ
where
υ = frequency = 4.62 × 10¹⁴ s⁻¹
c = velocity of light = 3.0 × 10⁸ ms⁻¹
λ = wavenumber = ??
Solving above equation for λ.
λ = c / υ
Putting the given values,
λ = 3.0 × 10⁸ ms⁻¹ / 4.62 × 10¹⁴ s⁻¹
Result:
λ = 6.49 × 10⁻⁷ m (or) 649 nm