Answer:
E = 1.81 × 10⁻¹⁸ J
ν = 2.73 × 10¹⁵ Hz
Step-by-step explanation:
We can calculate the frequency (ν) of an ultraviolet photon with wavelength (λ) 110 nm, using the following expression.
c = λ . ν
where,
c is the speed of light
ν = c / λ
ν = (3.00 × 10⁸ m/s) / 110 × 10⁻⁹ m
ν = 2.73 × 10¹⁵ s⁻¹ = 2.73 × 10¹⁵ Hz
We can calculate the energy (E) of the photon using the Planck-Einstein equation.
E = h × ν
where,
h is the Planck's constant
E = h × ν
E = 6.63 × 10⁻³⁴ J.s × 2.73 × 10¹⁵ s⁻¹
E = 1.81 × 10⁻¹⁸ J