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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.

Sagot :

onyebuchinnaji

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;

[tex]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[/tex]

Energy of an ultraviolet photon

[tex]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[/tex]

The ratio of the two energies

[tex]= \frac{8.0 \times 10^{-19}}{3.078 \times 10^{-19}} \\\\= 2.6[/tex]

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

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

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