Find momentum of the electron having De Broglie wavelength of 0.5 A.
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Q: (a) What is the de Broglie wavelength (in m) of an electron moving at a speed of 3.03 x 10* m/s? (b)…
A: Given:- for (a) speed of electron (V) = 3.03 *104 m/s planck's constant (h) = 6.6…
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- Calculate the velocities of electrons with de Broglie wavelengths of 1.7×103 nm and 5.0 nm, respectively.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.Calculate the de Broglie wavelength of a proton moving at 2.60 x 104 m/s and 1.99 x 108 m/s. (a) 2.60 x 104 m/s m (b) 1.99 x 108 m/s
- A free electron moving along the x-direction (one for which V(x) = 0) would have a wave function of the form f(x) = A eikx + B e−ikx where A and B are constants. (a) If the wavelength of this wave function (in radians) equals the de Broglie wavelength of the electron, and its velocity, v = 8.40 × 10² m/sec, what is the value of k (in nm¯¹)? Express your answer in scientific notation with three significant figures. (b) The Hamiltonian operator for a free electron is given by p² ħ² d² Ĥ 2me 2me dx² The wave function provided at the top is an eigenstate of Â. If one measures the energy for an electron in this state using Â, what would be the result, and how does it compare to the classical kinetic energy of a free electron with this velocity?Calculate the de Broglie wavelength of a 90 kgperson who is running at a speed of 5.25 m/s.Answer in units of m.By what factor does the de Broglie wavelength of a particle change if (a) its momentum is doubled or (b) its kinetic energy is doubled?
- The nucleus of an atom is on the order of 10-14 m in diameter. For an electron to be confined to a nucleus, its de Broglie wavelength would have to be on this order of magnitude or smaller. What would be the kinetic energy of an electron confined to this region?Determine the wavelength of an electron that has a kinetic energy of 1.15 × 10 J. Report your answer in units of nm.