Verified Answer :

E = hf

c = speed of electromagnetic wave, c ≈ 3 10⁸ m/s, 
Planck's constant h = 6.63
10⁻³⁴ Js

h = Planck's constnat,  Frquency, f = c/λ = (310⁸)/(48810⁻⁹)

E = hf

E = hc/λ

E = (6.63 10⁻³⁴ 3 10⁸) /(488 10⁻⁹)

Energy, E ≈ 4.0758 * 10⁻¹⁹  Joules.

Answer : The energy of a photon is, \(4.073\times 10^{-19}J\)

Explanation :

Formula used :

\(E=\frac{h\times c}{\lambda}\)

where,

E = energy = ?

h = Planck's constant = \(6.626\times 10^{-34}Js\)

c = speed of light = \(3\times 10^8m/s\)

\(\lambda\) = wavelength = \(488\times 10^{-9}m\)

Now put all the given values in the above formula, we get the energy.

\(E=\frac{(6.626\times 10^{-34}Js)\times (3\times 10^8m/s)}{488\times 10^{-9}m}\)

\(E=4.073\times 10^{-19}J\)

Therefore, the energy of a photon is, \(4.073\times 10^{-19}J\)