Calculate the wavelength of light required to make a transition from n=1 -> n=2 and from n=2 -> n=3.?
Part A: Calculate the energies of the n = 1, n = 2, and n = 3 energy levels for an electron in a one-dimensional box with a length of 305 pm. Please enter your answers separated by commas. I have calculated the energies as follows: E_1 = 6.48 × 10^−19 J, E_2 = 2.59 × 10^−18 J, E_3 = 5.83 × 10^−18 J.
Part B: Calculate the wavelength of light required for transitions from n = 1 to n = 2 and from n = 2 to n = 3. I am uncertain how to approach this part of the problem. Please enter your answers separated by commas.
1 Answers
delta-E = hc/lambda, where h = Planck's constant and c = speed of light. That tells you the wavelength corresponding to an energy change of delta-E.
Rearranging, lambda = hc/delta-E.
So calculate the energy difference between n=1 and n=2. Plug that delta-E into the equation and solve for lambda. That's the wavelength corresponding to that energy change.
Do the same for the energy difference between n=2 and n=3.
Related Questions
"If this same quantity of energy were transferred to 2.5 kg of water at its boiling point, what fraction of the water wo...
Have you ever noticed how the rear wheel of a bike seems to follow the front wheel closely? Why does this happen, and is...
Please identify each of the following as measurements: Length Area Volume Mass Density Time Temperature...
A rescue pilot needs to drop a survival kit while flying at an altitude of 2,000.0 meters with a forward velocity of 100...
Today's CPUs operate at speeds measured in gigahertz rather than kilohertz. Is this statement true or false?
I have a question regarding torque in a magnetism context. I understand that the equation τ = IABsin(θ) will be relevant...
A 4.5 kg box slides down a 4.4 m high frictionless hill, starting from rest. It then travels across a 2.4 m wide horizon...
How does friction play a role in sledding and skiing? Specifically, what are the effects of friction on speed, control,...
What is the speed of light in kilometers per hour?
A radio telescope features a parabolic surface, as illustrated below. Given that the telescope is 1 meter deep and 12 me...