EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 39, Problem 45P
To determine
The proof that the moving electron cannot give off an X-ray photon unless there is a third object present, such as an atom or nucleus.
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(i) Monochromatic light of frequency 6.0 × 1014 Hz is produced by a laser. The power emitted is 2.0 × 10-3 W. Estimate the number of photons emitted per second on an average by the source.
(ii) Draw a plot showing the variation of photoelectric current versus the intensity of incident radiation on a given photosensitive surface.
(c) The energy of an ultraviolet light is 3.28 eV.
(i) What is its wavelength? (Given: h=6.63✕10-34 Js ; e=1.602✕10-19 C).
(ii) Based on the de Broglie's hypothesis, determine the velocity of the electron. (Given: h=6.63✕10-34 Js ; me=9.11✕10-31 kg)
(i) How does one explain the emission of electrons from a photosensitive surface with the help of Einstein’s photoelectric equation?
(ii) The work function of the following metals is given : Na = 2.75 eV, K = 2.3 eV, Mo = 4.17 eV and Ni 5.15 eV. Which of these metals will not cause photoelectric emission for radiation of wavelength 3300 A from a laser source placed 1 m away from these metals? What happens if the laser source is brought nearer and placed 50 cm away?
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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- Why are X-rays emitted only for electron transitions to inner shells? What type of photon is emitted for transitions between outer shells?arrow_forwardHow many x-ray photons per second are created by an x ray tube that produces a flux of x rays having a power of 1.00 W? Assume the average energy per photon is 75.0 keV.arrow_forward(b) A sodium vapor lamp is placed at the center of a large sphere that absorbs all the light reaching it. The rate at which the lamp emits energy is 80 W; assume that the emission is entirely at a wavelength of 380 nm. Evaluate the rate at which the photon is absorbed by the lamp. Take, Planck Constant h = 6.63 x 10-34 J.S Speed of light c = 3.00 x 108m/sarrow_forward
- (b) (i) Calculate the de Broglie wavelength of an electron having a mass of 9.11 x 1031 kg and a charge of 1.602 x 10-19 J with a Kinetic energy of 135 eV. The value of the Planck's constant is equal to 6.63 * 10-34 Js. (ii) Assume that an electron is moving along the x-axis with a speed of 3.66 x 106 m/s and with a precision of 0.50%. Calculate the minimum uncertainty (as allowed by the uncertainty principle in quantum theory) with which the position of the electron along the X-axis simultaneously can be measured with the speed?arrow_forward(b) Evaluate the ratio of the de Broglie wavelength of electron to that of proton when (m₂=9.11 × 10-3¹ kg, mp=1.67 × 10-27 kg) (i) both have the same kinetic energy. (ii) The electron kinetic energy is 1000 eV, and the proton kineticarrow_forwardAn electron of a hydrogen atom initially in the third excited state emits a photon and ends up in the ground state. (i) What is the energy in eV and in Joules of the emitted photon? (ii) What is the frequency of the emitted photon?arrow_forward
- (i) In hydrogen atom, an electron undergoes transition from 2nd excited state to the first excited state and then to the ground state. Identify the spectral series to which these transitions belong. (ii) Find out the ratio of the wavelengths of the emitted radiations in the two cases.arrow_forward- (i) Calculate the Amin and Amax region of 70 kV X-ray tube. (ii) Calculate the maximum frequency of an X-ray caused by an electron travelling with 60000 eV of kinetic energy?arrow_forward(II) Show that the energy E (in electron volts) of a photon whose wavelength is A (nm) is given by 1.240 x 10° eV·nm E = λ (nm) Use at least 4 significant figures for values of h, c, e (see inside front cover).arrow_forward
- The energy of an ultraviolet light is 3.28 eV. (i) What is its wavelength? (Given: h=6.63✕10-34 Js ; e=1.602✕10-19 C). (ii) Based on the de Broglie's hypothesis, determine the velocity of the electron. (Given: h=6.63✕10-34 Js ; me=9.11✕10-31 kg).arrow_forward5. (a) By considering the case where an atom is enclosed within a cavity containing black body radiation at temperature T, show that the Einstein A and B coefficients are related to each other through the following relationships: 9,B12 = 92B21, 8nhv³ - B21, A21 where g, and g, are the degeneracies of the two levels respectively. The spectral energy density of black body radiation is given by 8thv³ u(v) c exp(hv/kgT) –1 1 where kg is Boltzmann's constant. (b) Explain why the effective temperature of the laser levels must be negative in order for a laser to oscillate. (c) The degeneracies of the upper and lower levels of the 488.0 nm line of the argon ion laser are 6 and 4, respectively. Deduce the effective temperature of the laser levels when the population of the upper level is twice that of the lower level. (d) Describe how population inversion is achieved in a semiconductor laser diode. (e) A certain semiconductor laser diode has a length of 0.5 mm and has a high reflection coating…arrow_forward-27 (c) i. A thermal neutron has an energy of E= 0.025 eV and a mass of 1.675 x 107 kg. Calculate the de Broglie wavelength of a thermal neutron. ii. On the basis of this result, explain whether it is possible to observe diffraction effects when the neutron is scattered by a cobalt crystal. Suggest a reason why performing neutron diffraction experiments is challenging.arrow_forward
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