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What is the wavelength of a photon of energy 1 MeV?Select one:a.2.9 x 10- 14 metres.b.2.4 x 10+ 20 metres.c.2.3 x 10- 20 metres.d.3.6 x 10- 15 metres.e.1.2 x 10- 12 metres.Clear my choice

Question

What is the wavelength of a photon of energy 1 MeV?Select one:a.2.9 x 10- 14 metres.b.2.4 x 10+ 20 metres.c.2.3 x 10- 20 metres.d.3.6 x 10- 15 metres.e.1.2 x 10- 12 metres.Clear my choice

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Solution

The energy of a photon can be calculated using the equation E = hc/λ, where E is the energy, h is Planck's constant (6.626 x 10^-34 Joule seconds), c is the speed of light (3 x 10^8 meters/second), and λ is the wavelength.

First, we need to convert the energy from MeV to Joules. 1 MeV = 1.602 x 10^-13 Joules.

So, 1 MeV = 1.602 x 10^-13 Joules.

Next, we substitute the values into the equation:

1.602 x 10^-13 Joules = (6.626 x 10^-34 Joule seconds * 3 x 10^8 meters/second) / λ

Solving for λ, we get:

λ = (6.626 x 10^-34 Joule seconds * 3 x 10^8 meters/second) / 1.602 x 10^-13 Joules

λ = 1.24 x 10^-12 meters

So, the wavelength of a photon of energy 1 MeV is approximately 1.24 x 10^-12 meters.

Therefore, none of the options given are correct. The closest option is e. 1.2 x 10^-12 metres, but it's not exactly correct.

This problem has been solved

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