Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Question
Chapter 37, Problem 7P
To determine
The energy range of photons in the visible spectrum, of wavelength.
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(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).
(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).
(c)
The energy of an ultraviolet light is 3.28 eV.
Tenaga cahaya ultraviolet adalah 3.28 eV.
(i)
What is its wavelength? (Given: h=6.63×10-34
Js ; e=1.602×10-19
C).
Berapakah panjang gelombangnya? (Diberi: h=6.63×10-34 Js ; e=1.602×10-19 C).
nm
(ii)
Based on the de Broglie's hypothesis, determine the velocity of the electron. (Given: h=6.63x10 34 Js ; me=9.11x10 31 kg)
Chapter 37 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 37.2 - Prob. 1AECh. 37.2 - Prob. 1BECh. 37.4 - Prob. 1CECh. 37.7 - Prob. 1DECh. 37.7 - Prob. 1EECh. 37.11 - Prob. 1FECh. 37 - Prob. 1QCh. 37 - Prob. 2QCh. 37 - Prob. 3QCh. 37 - Prob. 4Q
Ch. 37 - Prob. 5QCh. 37 - Prob. 6QCh. 37 - Prob. 7QCh. 37 - Prob. 8QCh. 37 - Prob. 9QCh. 37 - Prob. 10QCh. 37 - Prob. 11QCh. 37 - Prob. 12QCh. 37 - Prob. 13QCh. 37 - Prob. 14QCh. 37 - Prob. 15QCh. 37 - Prob. 16QCh. 37 - Prob. 17QCh. 37 - Prob. 18QCh. 37 - Prob. 19QCh. 37 - Prob. 20QCh. 37 - Prob. 21QCh. 37 - Prob. 22QCh. 37 - Prob. 23QCh. 37 - Prob. 24QCh. 37 - Prob. 25QCh. 37 - Prob. 26QCh. 37 - Prob. 27QCh. 37 - Prob. 28QCh. 37 - Prob. 1PCh. 37 - Prob. 2PCh. 37 - Prob. 3PCh. 37 - Prob. 4PCh. 37 - Prob. 5PCh. 37 - Prob. 6PCh. 37 - Prob. 7PCh. 37 - Prob. 8PCh. 37 - Prob. 9PCh. 37 - Prob. 10PCh. 37 - Prob. 11PCh. 37 - Prob. 12PCh. 37 - Prob. 13PCh. 37 - Prob. 14PCh. 37 - Prob. 15PCh. 37 - Prob. 16PCh. 37 - Prob. 17PCh. 37 - Prob. 18PCh. 37 - Prob. 19PCh. 37 - Prob. 20PCh. 37 - Prob. 21PCh. 37 - Prob. 22PCh. 37 - Prob. 23PCh. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Prob. 26PCh. 37 - Prob. 27PCh. 37 - Prob. 28PCh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - Prob. 39PCh. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45PCh. 37 - Prob. 46PCh. 37 - Prob. 47PCh. 37 - Prob. 48PCh. 37 - Prob. 49PCh. 37 - Prob. 50PCh. 37 - Prob. 51PCh. 37 - Prob. 52PCh. 37 - Prob. 53PCh. 37 - Prob. 54PCh. 37 - Prob. 55PCh. 37 - Prob. 56PCh. 37 - Prob. 57PCh. 37 - Prob. 58PCh. 37 - Prob. 59PCh. 37 - Prob. 60PCh. 37 - Prob. 61PCh. 37 - Prob. 62PCh. 37 - Prob. 63PCh. 37 - Prob. 64PCh. 37 - Prob. 65PCh. 37 - Prob. 66PCh. 37 - Prob. 67PCh. 37 - Prob. 68PCh. 37 - Prob. 69PCh. 37 - Prob. 70PCh. 37 - Prob. 71PCh. 37 - Prob. 72GPCh. 37 - Prob. 73GPCh. 37 - Prob. 74GPCh. 37 - Prob. 75GPCh. 37 - Prob. 76GPCh. 37 - Prob. 77GPCh. 37 - Prob. 78GPCh. 37 - Prob. 79GPCh. 37 - Prob. 80GPCh. 37 - Prob. 81GPCh. 37 - Prob. 82GPCh. 37 - Prob. 83GPCh. 37 - Prob. 84GPCh. 37 - Prob. 85GPCh. 37 - Prob. 86GPCh. 37 - Prob. 87GPCh. 37 - Prob. 88GPCh. 37 - Prob. 89GPCh. 37 - Prob. 90GPCh. 37 - Prob. 91GPCh. 37 - Prob. 92GPCh. 37 - Prob. 93GPCh. 37 - Show that the wavelength of a particle of mass m...Ch. 37 - Prob. 95GPCh. 37 - Prob. 96GPCh. 37 - Prob. 97GPCh. 37 - Prob. 98GPCh. 37 - Prob. 99GPCh. 37 - Prob. 100GP
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- (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(c) The energy of an ultraviolet light is 3.28 ev. Tenaga cahaya ultraviolet adalah 3.28 ev. What is its wavelength? (Given: h=6.63x1034 Js ; e=1.602x10-19 C). Berapakah panjang gelombangnya? (Diberi: h=6.63x1o-34 Js ; e=1.60 (i) nm Based on the de Broglie's hypothesis, determine the velocity of the electron. (Given: h=6.63x10-34 Js ; m,=9.11x10-31 kg) (ii) Merujuk kepada hipotesis de Broglie's, tentukan halaju elektron. (Diberi: h=6.63x10-34 Js ; m =9.11x1031 kg). kgarrow_forward(b) Calculate the de Broglie wavelength of an electron having a mass of 9.11 x 10-31 kg and a charge of 1.602 x 10-19 J with a Kinetic energy of 110 eV. The value of the Planck’s constant is equal to 6.63 * 10-34 Js.arrow_forward
- (a) What is the energy in joules of an x-ray photon with wavelength 1.58 x 10-10 m? J (b) Convert the energy to electron volts. kev (c) If more penetrating x-rays are desired, should the wavelength be increased or decreased? O increased decreased (d) Should the frequency be increased or decreased? increased decreasedarrow_forward(i) Define the term ‘threshold frequency’ as used in photoelectric effect. (ii) Plot a graph showing the variation of photoelectric current as a function of anode potential for two light beams having the same frequency but different intensities I1 and I2 (I1 > I2 ).arrow_forwardWhat is the minimum wavelength in m of the x-ray photons from a 140 kV x-ray tube? (h = 6.63x10-34J·s, 1 eV = 1.6x10-19 J, c = 3.0x108 m/sarrow_forward
- (3) A spectrometer used in a measurement of the Compton effect has a spectral resolution of Aλ/2 = 0.5%. Find the wavelength of the incident photons that would be required in order to resolve (a) Scattered photons at an angle of 38° (b) Scattered photons at an angle of 90° (c) Comparing parts (a) and (b), which measurement is easier, keeping in mind that it is harder to make higher energy photons? What factor can you think of that might make the measurement at 0= 90° harder than the measurement at 0= 38°?arrow_forwardX-RAY RADIATION Constants Units of Energy h = 6.626 · 10-34 J.sec Planck constant e = 1.6· 10-19 C charge of electron c = 3. 10 m/sec speed of light m = 9.11· 10-31 kg mass of electron 1 eV = 1,602-10- J 1 kev = 1,602-10- J 1. Relationship between X-ray frequency and wavelength: c = fA here A is wavelength (m), f is frequency (Hz), c is speed of light (m/sec). K- cathode A - anode Х-гауs electrons 2. Energy of X-rays photon: E = hfmax = Атin Amin is minimum wavelength of X-ray radiation (m), fmax is maximum frequency of X-ray radiation (Hz), h is Planck constant (J-sec), is speed of light propagation in vacuum (m/sec). 3. In the X-ray tube, firstly, the energy of electric field is transformed into the kinetic energy of electron motion: ту? eU, = and then the kinetic energy of electron motion is transferred into energy of X-ray photons: ту? 7 = h fmax is maximum frequency of X-ray radiation (Hz), h is Planck constant (J-sec), c is speed of fmax light propagation in vacuum (m/sec), e is…arrow_forward(4) (i) Light shining on a metal surface produces photoelectrons with a maximum kinetic energy of 2.0 eV. The light intensity is then doubled. Now what is the maximum kinetic energy of the photoelectrons, in eV? (ii) The detector in an ordinary digital camera is made of silicon. This detector works by the photoelectric effect. The longest wavelength of light that an ordinary digital camera can detect has a wavelength of 1 micron (where 1 micron = 10^-6 m). What is the work function of silicon, in eV? (iii) Infrared cameras don't use detectors made of silicon. For an infrared camera to detect infrared radiation with a wavelength of 22 microns, its detector must be made of a dierent material. What is the maximum possible work function of this material, in eV?arrow_forward
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