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What is the energy (in eV) of a photon in a monochromatic beam of light with a wavelength of 425.0425.0 nm? (Give your answer to two decimal places) eV

Question

What is the energy (in eV) of a photon in a monochromatic beam of light with a wavelength of 425.0425.0 nm? (Give your answer to two decimal places) eV

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Solution

To find the energy of a photon, we can use the formula:

E = hc/λ

where: E is the energy of the photon, h is Planck's constant (4.1357 x 10^-15 eV*s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength.

However, the wavelength needs to be in meters for the units to work out. Given that the wavelength is 425.0 nm, we need to convert this to meters.

1 nm = 1 x 10^-9 m

So, λ = 425.0 nm = 425.0 x 10^-9 m = 4.25 x 10^-7 m

Now we can substitute the values into the formula:

E = (4.1357 x 10^-15 eV*s * 3.00 x 10^8 m/s) / 4.25 x 10^-7 m

After calculating the above expression, we get:

E = 2.93 eV

So, the energy of the photon is 2.93 eV.

This problem has been solved

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