a. Determine the energy, in eV, of a photon with a 550 nm wavelength.

b. Determine the wavelength of a 7.5 keV x-ray photon.

Short Answer

Expert verified

a) Energy of the photon is 2.26 eV.

b) Wavelength of the x-ray photon is 0.165 nm.

Step by step solution

01

Step 1. Given information is :a) A photon with 550 nm wavelength.b) A 7.5 keV x-ray photon.

We need to find out :

a) Energy of the photon

b) Wavelength of the x-ray photon

02

Step 2. Part a) Using expression for energy of photon

E=hff=cλE=hcλE=6.63×10-343×108m/s550×10-9mE=2.26eV

03

Step 3. Part b) Using expression of Energy of the photon to find out the wavelength.

E=hcλλ=hcEλ=(6.63×10-34)3×108m/s7.5×103×1.6×10-19Vλ=0.165nm

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