Planck's constant
Planck's constant, a cornerstone in quantum mechanics, is a fundamental constant representing the quantum of electromagnetic action. It was introduced by Max Planck in 1900 as a scaling factor in his solution to the black-body radiation problem. Planck's constant, denoted by the symbol 'h', relates the energy of a photon to its frequency. Its precise value has been extensively measured and is approximately \(6.62607015 \times 10^{-34}\) joule-seconds. This constant underpins various phenomena in physics, including the wave-particle duality of light and matter, and serves as a fundamental building block in modern physics theories.
Questions
- What is the physical significance of the Planck's constant?
- How do you calculate planck constant?
- Can you calculate the energy of a photon of wavelength 11.56 meters, (Planck’s constant is 6.626 x 10-34 joule seconds; the speed of light is 2.998 x 108 m/s)?
- An electron has a wavelength of 239 nm. Find its momentum. Planck’s constant is 6.63*10^-34?
- What is an example of a Planck's constant practice problem?
- How do you calculate the number of photons?
- What are some common mistakes students make with Planck's constant?
- How does Planck's radiation law relate to temperature? What conclusions can be drawn from it?
- What is the energy in joules of a mole of photons associated with visible light of wavelength 486 nm?
- How can you differentiate Planck's function?
- Could you solve for frequency by dividing energy by Planck's constant?
- What are some examples of the Planck's constant?
- How do you use Planck's constant to determine frequency of a photon (given t frequency) or the energy (given the frequency)?
- Which of these does Planck's constant depend on?
- What is Planck's constant dimensionally equal to?
- How do you derive Planck's constant?
- How is planck's constant used in the photoelectric effect?
- Why is Planck's Constant important?
- The minimum energy needed to dissociate iodine molecules, I2, is 151 kJ/mol. What is the wavelength of photons (in nm) that supplies this energy, assuming each bond dissociated by absorbing one photon?
- To resolve an object in an electron microscope, the wavelength of the electrons must be close to the diameter of the object. What kinetic energy must the electrons have in order to resolve a protein molecule that is 7.40 nm in diameter?