Answer:
frequency = 5.09 × 10^14 Hz
Energy = 3.373 × 10^-19 J
Explanation:
1. The wavelength of a substance is calculated using the formula:
λ = v/f
Where;
λ = wavelength (m)
v = speed of light (m/s)
f = frequency of light (Hz)
According to the information given, λ = 5.89 × 10 −7m, v = 3 × 10^8m/s, f =?
Using λ = v/f
f = v/λ
f = 3 × 10^8 ÷ 5.89 × 10 −7m
f = 0.509 × 10^(8+7)
f = 0.509 × 10^15
f = 5.09 × 10^14 Hz
2. Energy of a photon, E, can be calculated thus:
E = hf
Where;
h = Planck's constant (6.626 × 10^-34 J/s)
f = frequency (Hz)
E = 6.626 × 10^-34 × 5.09 × 10^14
E = 33.726 × 10^(-34+14)
E = 33.726 × 10^(-20)
E = 3.373 × 10^-19 J
