Determine the frequency of light with a wavelength of 4.644 × 10−7 cm

6.456 x 10^16 Hz

That is, c = v×λ

The wavelength, λ is 4.644 × 10^−7 cm

But, 1 m = 100 cm

Thus, the wavelength, λ = 4.644 × 10^−9 m

Rearranging the formula; v= c/λ

Therefore;

Frequency, v = 2.998 × 10^8 m/s ÷ 4.644 × 10^−9 m

                      = 6.456 x 10^16 Hz

Thus, the frequency of the light will be 6.456 x 10^16 Hz

the temperature of the gas, in k, not celsius.