Modern Physics

What fundamental concept does quantum theory introduce that is not present in classical mechanics?

A photon has a frequency of $5 \times 10^{14}$ Hz. What is its energy? (Planck's constant $h = 6.626 \times 10^{-34}$ Js)

A photon has an energy of $3.9756 \times 10^{-19}$ J. What is its wavelength? (Planck's constant $h = 6.626 \times 10^{-34}$ Js, speed of light $c = 3.00 \times 10^8$ m/s)

A photon with a wavelength of 600 nm travels from air (index of refraction ≈ 1) into glass (index of refraction = 1.5). What is the photon's new speed and wavelength in the glass?

An electron has a momentum of $6.626 \times 10^{-24}$ kg m/s. What is its de Broglie wavelength? (Planck's constant $h = 6.626 \times 10^{-34}$ Js)

Particle A has a mass of $m$ and a velocity of $v$. Particle B has a mass of $2m$ and a velocity of $v/2$. How do their de Broglie wavelengths compare?

An electron has a kinetic energy of 2.41$\times 10^{-18}$ J. Calculate its de Broglie wavelength, given its mass is 9.11$\times 10^{-31}$ kg and Planck's constant is 6.626$\times 10^{-34}$ Js.

In a hydrogen atom, are the energy levels for the electron continuous or discrete?

How does decreasing the size of the box affect the energy levels of a particle in a one-dimensional box?

A particle of mass $m$ is confined to a one-dimensional box of length $L$. What are the possible energy levels of the particle?