A free-electron wave function has the form: V(x, t) = Aein [(0.50 m-¹)-(10.0s-¹)]. Determine the wavelength and frequency of the electron wave.
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Q: An electron has an uncertainty in its position of 607 pm. What is the uncertainty in its velocity?
A: Given data: Uncertainty in position of electron is, ∆x=607 pm=607×10-12 m.
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Q: The uncertainty in the velocity of an electron is 53 × 10-3 m/s. What is the uncertainty in its…
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A: Given lifetime △t= 3.0××10^−7 s
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Q: how much energy does it take to singly ionize it?
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Q: Ex. 20: Find the value of energy of electron in eV in the third Bohr orbit of hydrogen atom.…
A: To find-E3=?Given-R=1.097×107 m-1h=6.63×10-34 Jsc=3×108 m/sn=3
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- An electron with a kinetic energy of 44.34 eV is incident on a square barrier with Up = 57.43 eV and w = 2.200 nm. What is the probability that the electron tunnels through the barrier? (Use 6.626 x 1034 j x S for h, 9.109 x 1031 kg for the mass of an electron, and 1.60 x 1019 C for the charge of an electron.)The threshold frequency of silver is 0.967 × 1015 Hz. What is the work function of silver? Planck’s constant is 6.63 × 10−34 J · s. Answer in units of eV.An electron was ejected from the surface of cesium metal with a speed of 6.74*10^5 m/s.Given that the threshold energy for the removal of an electron from the cesium metal is 2.90*10^-19J. Calculate the incident wavelength in nanometers. For this problem, I believe we use the KE=E photon-Eo. However, I am having trouble getting from the formula to the desired answer of 400 nm.
- A proton is accelerated to a speed of 2.10*10^5 m/s. If the uncertainty in the measured speed is 5% what is the minimum uncertainty in the position of the proton?A proton is in a one-dimensional box of width 7.8 pm (1 pm = 1 x 10-¹2 m). The energy of the proton is equal to the absolute value of the ground state of a hydrogen atom. What state is the proton in?If the radius of a calcium ion is 0.27 nm, how much energy does it take to singly ionize it? Give your answer in electron-volts (eV) with precision 0.1 eV. Give your answer to 2 significant digits.