A PHOTON HAS A FREQUENCY OF 5.02 X 10^14 HZ, CALCULATE THE ENERGY OF THE PHOTON IN JOULES AND ELECTRON VOLTS

(i) To calculate the energy of a photon in joules, we can use the formula:

E = hf

Where E is the energy of the photon, h is Planck’s constant, and f is the frequency of the photon.

Given:

Frequency (f) = 5.02 x 10^14 Hz

Planck’s constant (h) = 6.6 x 10^-34 Js

Substituting these values into the formula, we get:

E = (6.6 x 10^-34 Js) * (5.02 x 10^14 Hz)

E = 3.3132 x 10^-19 J

Therefore, the energy of the photon in joules is approximately 3.3132 x 10^-19 J.

(ii) To calculate the energy of a photon in electron volts (eV), we can use the conversion factor:

1 eV = 1.6 x 10^-19 J

Given that we already calculated the energy of the photon as approximately 3.3132 x 10^-19 J, we can convert this to electron volts by dividing it by the conversion factor:

E(eV) = (3.3132 x 10^-19 J) / (1.6 x 10^-19 J/eV)

E(eV) ≈ 2.07075 eV

Therefore, the energy of the photon in electron volts is approximately 2.07075 eV.