Question

5. Camera lenses (n = 1.5) are often coated with a thin film of magnesium fluoride (n = 1.34). These non-reflective coatings use destructive interference to reduce unwanted reflections. Find the condition for destructive interference in this case, and calculate the minimum thickness required to give destructive interference for light in the middle of the visible spectrum (yellow-green light, λ_air = 550 nm).

6. During a boring banquet you notice that the fat swimming on top of your soup is reflecting back yellow, which you remember to be about 600 nm in wavelength. Carefully observing the refraction angles of your submerged spoon, you figure out that the index of refraction of the soup is 1.34, while the index of refraction of the fat is 1.43. What is the smallest possible thickness of the fat layer on top of your soup?

7. The ground state energy of hydrogen is -13.6 eV. What is the wavelength of the photon emitted in the transition between an n=5 and an n=3 state?

8. Which of the following statements are true, which are false?
- Two electrons in an atom can have the same magnetic quantum number.
- In the quantum mechanical H atom electrons in the n=1 orbit have zero angular momentum.
- In the quantum mechanical H atom electrons in the n=2 orbit all have the same angular momentum.
- The Balmer and Lyman series of hydrogen differ in the initial state of the electron (as opposed to the final state).

9. A Hydrogen atom has one proton in the nucleus and one electron in the shell. In a classic model of the atom, in a certain state, this electron is in a circular orbit around the nucleus with an velocity of 1090729.85781991 m/s.
What is the radius of the orbit?

Answer 1

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