Question

A red photon has a wavelength of 650 nm. An ultraviolet photon has a wavelength of 250 nm. The energy of an ultraviolet photon is __________ than a red photon.

Answer 1

The energy of an ultraviolet photon is 2.6 times greater than a red photon.

Energy of a photon

The energy of a given photon of light is calculated using the wavelength and the speed of light.

Energy of a red photon

The energy of the a red photon at the given wavelength is calculated as follows;

$E_r = \frac{hc}{\lambda} \\\\E_r = \frac{6.67 \times 10^{-34} \times 3 \times 10^8}{650 \times 10^{-9}} \\\\E_r = 3.078 \times 10^{-19} \ J$

Energy of an ultraviolet photon

$E_r = \frac{hc}{\lambda} \\\\E_r = \frac{6.67 \times 10^{-34} \times 3 \times 10^8}{250 \times 10^{-9}} \\\\E_r = 8.0 \times 10^{-19} \ J$

The ratio of the two energies

$= \frac{8.0 \times 10^{-19}}{3.078 \times 10^{-19}} \\\\= 2.6$

Thus, the energy of an ultraviolet photon is 2.6 times greater than a red photon.

Learn more about energy of a photon here: brainly.com/question/7464909