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Why might understanding nanometer measurements be crucial in atomic theory studies?
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Wavelengths in atomic scales are often measured in nanometers (1 nm = 1 × 10^-9 m), important for calculations involving electromagnetic spectra.
Define how to compute the frequency of a photon emitted by a hydrogen atom.
ν = E / h, where E is the energy calculated from the energy emission formula, and h is Planck's constant.
Explain why electrons have a different mass compared to protons and how it affects atomic theory.
Electrons (mass: 9.11 × 10^-31 kg) are much lighter than protons (mass: 1.6726 × 10^-27 kg), affecting the behavior of atoms in terms of energy levels and electron clouds.
What is the conversion factor from electron volts to joules, and why does it matter?
1 electron volt = 1.62 × 10^-19 J. It's crucial for converting energy measurements in atomic-level processes to the standard SI unit.
What is the formula for the energy change when a hydrogen atom emits a photon?
E = -2.178 × 10^-18 (1/n_f^2 - 1/n_i^2), where n_f is the final energy level, and n_i is the initial energy level.
Explain the photoelectric effect in terms of kinetic energy (KE) and work function (φ).
KE = E_photon - φ, where E_photon = hν and φ is the threshold energy. KE is the kinetic energy of the ejected electrons.
How would you calculate the momentum of a particle using its De Broglie wavelength?
p = h / λ, where p is momentum, h is Planck's constant, and λ is the wavelength.
How do you determine the energy of a photon using its wavelength?
E = hc / λ, where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength.
How can you calculate the maximum wavelength for electron ejection in the photoelectric effect?
λ_max = hc / φ, where λ_max is the maximum wavelength, h is Planck's constant, c is the speed of light, and φ is the work function.
If given the emitted photon's energy, how can its wavelength be calculated?
λ = hc / E, where λ is the wavelength, h is Planck's constant, c is the speed of light, and E is the photon's energy.
What is the speed of light in a vacuum, and how is it represented in equations?
The speed of light in a vacuum is 3 × 10^8 m/s, represented by the letter c.
How does Planck’s constant relate to the calculation of energy in photons?
E = hν, where E is energy, ν is frequency, and h is Planck's constant, 6.626 × 10^-34 J·s.
What is the equation to calculate the wavelength of light if you know its frequency?
λ = c / ν, where λ is the wavelength, c is the speed of light, and ν is the frequency.
What is De Broglie's formula to compute the wavelength of a particle in motion?
λ = h / mv, where λ is the wavelength, h is Planck's constant, m is the mass, and v is the velocity of the particle.
Convert 500 nm into meters.
500 nm = 500 × 10^-9 meters.
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