The frequency is obtained from the Plank equation E = hf or E = hc/λ. The color of the light can be seen be examining the chart of the visible spectrum.
1) The given wavelength is 699.8 nm
Recall that;
f = c/λ
c = 3 × 10^8 m/s
f = 3 × 10^8/699.8 × 10^-9
f =4.29 × 10^14 s−1
E = hf/6.02 × 10^23
f = 6.6 × 10^-34 Js
E = 6.6 × 10^-34 × 4.29 × 10^14/6.02 × 10^23 × 1000
E = 4.7 × 10^-40 kJ/mol
The wavelength of 699.8 nm corresponds to red light.
2) Given that;
f = c/λ
λ = c/f
λ = 3 × 10^8/5.828 × 10^14 s−1
λ = 510 nm
This wavelength corresponds to blue light
3) For yellow light; wavelength = 590.9 nm or 590.9 × 10^-9
f = c/λ
f = 3 × 10^8/590.9 × 10^-9
f = 5.08 × 10^14 s−1
E = hf
E = 6.6 × 10^-34 × 5.08 × 10^14 s−1
E = 3.35 × 10^-19 J/6.02 × 10^23 × 1000 = 5.6 × 10^-40 kJ/mol
4) Energy = 252.8 × 10^3/6.02 × 10^23
Energy = 4.199 × 10^-19 J
E = hc/λ
λ = hc/E
λ = 6.6 × 10^-34 × 3 × 10^8/4.199 × 10^-19
λ = 4.72 × 10^-7 or 472 nm
f = c/λ
f = 3 × 10^8/4.72 × 10^-7
f= 6.4 × 10^14 s−1
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