Calculate the frequency of the light emitted when an electron in a hydrogen atom makes each transition. a. $n=4 \longrightarrow n=3$ b. $n=5 \longrightarrow n=1$ c. $n=5 \longrightarrow n=4$ d. $n=6 \longrightarrow n=5$

A proton in a linear accelerator has a de Broglie wavelength of 122 pm. What is the speed of the proton?

How much energy is contained in 1 mol of each? a. X-ray photons with a wavelength of 0.135 nm. b. y-ray photons with a wavelength of $2.15 \times 10^{-5}$ nm

Calculate the wavelength of each frequency of electromagnetic radiation. a . 100.2 MHz (typical frequency for FM radio broadcasting) b. 1070 kHz (typical frequency for AM radio broadcasting) (assume four significant figures) c. 835.6 $MH_2$ (common frequency used for cell phone communication)

Which combinations of n and I represent real orbitals, and which do not exist? a. 1s b. 2p c. 4s d. 2d

The smallest atoms can themselves exhibit quantum-mechanical behavior. Calculate the de Broglie wavelength (in pm) of a hydrogen atom traveling at 475 m/s.