EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 39, Problem 17P
(a)
To determine
The radius
(b)
To determine
The radius
(c)
To determine
The radius
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Q#1 (a)(i)A thermal neutron has a speed v at temperature T= 300 K and kinetic energy m-:
3 KT
Calculate its deBroglie wavelength. State whether a beam of these neutrons could be diffracted by a
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(a) Show that the speed of an electron in the nth Bohr orbit of hydrogen is αc/n, where α is the fine structure constant, equal to e2/4πε0ħc. (b) What would be the speed in a hydrogen like atom with a nuclear charge of Ze?
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Chapter 39 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 39 - Prob. 2QCh. 39 - Prob. 3QCh. 39 - Prob. 4QCh. 39 - Prob. 5QCh. 39 - Prob. 6QCh. 39 - Prob. 7QCh. 39 - On what factors does the periodicity of the...Ch. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11P
Ch. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 14PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 21PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 34PCh. 39 - Prob. 35PCh. 39 - Prob. 36PCh. 39 - Prob. 37PCh. 39 - Prob. 40PCh. 39 - Prob. 41PCh. 39 - Prob. 42PCh. 39 - Prob. 43PCh. 39 - Prob. 44PCh. 39 - Prob. 45PCh. 39 - Prob. 46P
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- What is the probability that an electron in the base state of the hydrogen atom will be found inside the nucleus? (let the radius of the nucleus be r).arrow_forwardMake the (incorrect) assumption that the nucleus is composed of electrons and that the protons are out- side. (a) If the size of an atom were about 10-¹⁰ m, what would be the speed of a proton? (b) What would be the total mechanical energy? (c) What is wrong with this model?arrow_forward(a) Determine the wavelength of the second Balmerline (n=4 to n=2 transition) using Fig. 27–29. Determine likewise (b) the wavelength of the second Lyman line and (c) the wavelength of the third Balmer line.arrow_forward
- (a)Calculate the radius (in m) of the orbit for the innermost electron in osmium assuming it is relatively unaffected by the atom's other electrons. Answer in m (b)What is the ratio of this orbital radius to the 6.90 fm radius of the osmium nucleus? answer in relectron Inucleus answer in R electron/R nucluesarrow_forwardWhat is the probability of finding an electron in the 1s orbital within 0.60 Å of the nucleus of 27 kg)? an He* ion (assume the mass of the He nucleus is 6.68-10-arrow_forwardMake the (incorrect) assumption that the nucleus is composed of electrons and that the protons are outside. (a) If the size of an atom were about 10-10 m, what would be the speed of a proton? (b) What would be the total mechanical energy? (c) What is wrong with this model?arrow_forward
- The wavefunction of an hydrogenic atom in its ground state is: 1 Z 3/2 Zr Φο a0 ao where Z is the atomic number and do the bohr radius. 1) Give an expression of a。 as a function of the reduced mass. What is the reduced mass of a tritium atom (you can assume that the mass of a neutron to be the same as the mass of a proton)? What is the reduced mass of ³He+? How do they compare to the mass of an electron? 2) What is the wavefunction of a tritium atom in its ground state? What is the wavefunction of ³He+ in its ground state?arrow_forwardBy using the principle of accuracy, he proved the impossibility of the electron being inside the nucleus, given that the radius of the nucleus is 1 x 10-14m.arrow_forward) Considering the nucleus as a uniformly charged sphere of radius ?? and total charge ?? prove that potential energy of such nucleus is given by ?? = 1 4????0 3 5 ?? ??arrow_forward
- Someone wanted to build a scale model of the atom with a nucleus 1.4 m in diameter. How far away would the nearest electron need to be in meters? Assume the orbital radius of an electron is 10^(-10)m, while the radius of the nucleus is 10^(-15) m. ra=?arrow_forward(a) The Lyman series in hydrogen is the transition from energy levels n = 2, 3, 4, ... to the ground state n = 1. The energy levels are given by 13.60 eV En n- (i) What is the second longest wavelength in nm of the Lyman series? (ii) What is the series limit of the Lyman series? [1 eV = 1.602 x 1019 J, h = 6.626 × 10-34 J.s, c = 3 × 10° m.s] %3D Two emission lines have wavelengts A and + A2, respectively, where AA <<2. Show that the angular separation A0 in a grating spectrometer is given aproximately by (b) A0 = V(d/m)-2 where d is the grating constant and m is the order at which the lines are observed.arrow_forward(I) A proton is traveling with a speed of (8.660 ± 0.012) × 10° m/s. With what maximum precision can its position be ascertained? [Hint: Ap = m Av.]arrow_forward
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