When the uncertainty principle is considered, it is not possible to locate a photon in space more precisely than about one wavelength. Consider a photon with wavelength 1 = 1 µm. What is the uncertainty in the photon's momentum?
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- An electron is in a box of width 3.0 * 10-10 m. What are the de Broglie wavelength and the magnitude of the momentum of the electron if it is in the n = 1 level.Light of wavelength 350 nm falls on a potassium surface, and the photoelectrons have amaximum kinetic energy of 1.3 eV.What is the work function of potassium?The speed of light is 3 × 108 m/s and Planck’sconstant is 6.63 × 10−34 J · s.Answer in units of eV. What is the threshold frequency for potassium?Answer in units of Hz.What is the minimum uncertainty in position, in nm, of an electron whose velocity is known to be between 2.96x105 m/s and 3.08×105 m/s ? Express your answer using two significant figures. Vη ΑΣφ x" х.10п 9.7 nm Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining
- De Broglie postulated that the relationship ? = h/p is valid for relativistic particles. What is the de Broglie wavelength for a (relativistic) electron having a kinetic energy of 3.18 MeV?The wavelength of a red spectral emission line is 670.0 nm. At what kinetic energy (in J) would an electron have that wavelength as its de Broglie wavelength?Electrons with an energy of 0.842 eV are incident on a double slit in which the two slits are separated by 40.0 nm. What is the de Broglie wavelength (in nanometers!) of these electrons?
- For light with a wavelength of 350 nm and with an intensity of /= 10-8 W/m², what is the number of photons/(m²s) in the light beam?The velocity of an electron is known to be 1.000×105 m/s, with an uncertainty of Av = 1.00×102 m/s. (a) What is the minimum uncertainty in the electron's position, Av, in meters? (b) How does this compare to the de Broglie wavelength of the electron? (c) One of your professors (m = 75.0 kg) is pacing at the front of the classroom, and you measure their velocity to an uncertainty of Av = 0.100 m/s. What is the minimum uncertainty in a measurement of their position? (d) How does this compare to the height of your professor?A particle of matter is moving with a kinetic energy of 7.53 eV. Its de Broglie wavelength is 2.85 x 10^-12 m. What is the mass of the particle?
- What is the velocity (in m/s) of a 0.430 kg billiard ball if its wavelength is 7.70 cm (large enough for it to interfere with other billiard balls)?a) Find the de Broglie wavelength of electrons moving with an average speed of 1.55 x 105 m/s. b) Suppose these electrons are described by a wave packet of width 2.55 nm. What is the uncertainty of the momentum of the electrons?