A photon has a wavelength of 547 nm. Calculate the energy of the photon in joules

                   Energy = 3.63 × 10⁻¹⁹ Joules

Explanation:

                   The energy contained by photon is directly proportional to its frequency and inversely proportional to its wavelength. The smaller the wavelength the greater the energy and vice versa.

The relation between wavelength and energy is as follow,

                                                   E = h c / λ

where

          E = Energy = ?

          h  =  Plank's Constant  =  6.6262 × 10⁻³⁴ Js

          c = velocity of light = 3.0 × 10⁸ ms⁻¹

          λ = wavenumber = 547 nm = 547 × 10⁻⁹ m

Putting the given values,

          E = 6.6262 × 10⁻³⁴ Js × 3.0 × 10⁸ ms⁻¹ / 547 × 10⁻⁹ m

          E = 3.63 × 10⁻¹⁹ Joules

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