MODERN PHYSICS

A photon emitted from an excited hydrogen atom has an energy of 3.02 electron volts. Which electron energy-level transition would produce this photon?

A. n=1 to n=6

B. n=2 to n=6

C. n=6 to n=1

D. n=6 to n=2

I chose B but the correct answer is D can someone tell me why? And what's the difference?

D. n=6 to n=2

Explanation:

Given;

energy of emitted photon, E = 3.02 electron volts

The energy levels of a Hydrogen atom is given as;  E = -E₀ /n²

where;

E₀ is the energy level of an electron in ground state =  -13.6 eV

n is the energy level

From the equation above make n, the subject of the formula;

n² = -E₀ / E

n² = 13.6 eV / 3.02 eV

n² = 4.5

n = √4.5

n = 2

When electron moves from higher energy level to a lower energy level it emits photons;

For a photon to be emitted, electron must move from higher energy level to a lower energy level. The higher energy level is 6 while the lower energy level is 2

Therefore,  The electron energy-level transition is from n = 6 to n = 2

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.

0.19 m/s and 0.45 m/s