Question

Calculate the energy of a photon travelling with a velocity of 3 ×
`10^(8)` m/s and having a wavelength of 400 nm.

Answer 1

the energy of the photon is 4.9695 x 10^-19 joules.
Step by step explanation:

The energy of a photon can be calculated using the formula:

E = h * c / λ

where E is the energy of the photon in joules, h is Planck's constant (6.626 x 10^-34 J*s), c is the speed of light (3 x 10^8 m/s), and λ is the wavelength of the photon in meters.

First, we need to convert the wavelength from nanometers to meters:400 nm = 400 x 10^-9 m

Now we can plug in the values into the formula:

E = (6.626 x 10^-34 J*s) * (3 x 10^8 m/s) / (400 x 10^-9 m)

E = 4.9695 x 10^-19 J

Therefore, the energy of the photon is 4.9695 x 10^-19 joules.