9. Quantum Mechanics

What is the wavelength of a photon (in nm) absorbed during a transition from the n = 2 to n = 5 state in the hydrogen atom?

Determine the end (final) value of n in a hydrogen atom transition, if the electron starts in n = 5 and the atom releases a photon of light with an energy of 4.5738 × 10^-19 J.

An electron releases energy as it moves from the 6^th shell to the 3^rd shell. If it releases 4.25 x 10⁹ kJ of energy at a wavelength of 915.7 nm, how many photons were released in the process?

Calculate the frequency of the light emitted when an electron in a hydrogen atom makes each of the following transitions.

Which wavelength in the hydrogen emission spectrum corresponds to the transition from n=5 to n=2?

If our eyes could see a slightly wider region of the electromagnetic spectrum, we would see a fifth line in the Balmer series emission spectrum. Calculate the wavelength λ associated with the fifth line.

Calculate the energy of a photon emitted when an electron in a hydrogen atom undergoes a transition from 𝑛=6 to 𝑛=1.