Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 3, Problem 10P
To determine
The distance of the three bright visible hydrogen lines on the screen.
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An electric current through hydrogen gas produces several spectral lines from the transitions to n = 2, called the Balmer series. The four most visible ones are at 410.2 nm, 434.0 nm, 486.1 nm, and 656.3 nm. Assume you are observing these lines with a diffraction grating of 5870 lines per centimeter.
a) What is the angle (in degrees) of the second-order maximum for the 410.2 nm line?
b) What is the angle (in degress) of the second-order maximum for the 434.0 nm line?
c) What is the angle (in degrees) of the second-order maximum for the 486.1 nm line?
d) What is the angle (in degrees) of the second-order maximum for the 656.3 nm line?
Problem 01:
An x-ray diffractometer (XRD) recorder chart for an element which has either the BCC or the FCC crystal
structure showed diffraction peaks at the following 20 angles: 40.663°, 47.314°, 69.144°, and 83.448°. (The
wavelength 2 of the incoming radiation was 0.15405 nm.)
Now using the Bragg's law and d-spacing formula:
(a) Generalize the concept of radius ratio identify the crystal structure of the element.
(b) Determine the lattice constant of the element.
(c) Identify the element use the data of the Table 1.
(d) If you were told that the metal is palladium, would you be surprised? How do you identify the discrepancy?
You can use this table for interpretation.
Table: 1: Selected metals that have the BCC, FCC, HCP crystal structure at room temperature (20°C) and
their lattice constant, atomic radius, density, melting point temperature.
Lattice Constants
20°C, nm
Melting
Paint, °C
Atomic
Radins, nm
Crystal
Structuret
(20°C)
Element
Symbol
Aluminum
AI
Sb
660
Antimony
Arsenic
630…
In a double-slit experiment, the fourth
maximum ( m = 4) is 2.8 cm from the central
maximum on a screen that is 1.4 m away from
the slits. If the wavelength of light being used
is 560 nm, what is the spacing between the
two slits in mm?
Answer:
Using Bohr's model of hydrogen atom,
calculate the wavelength of light (in nm)
emitted when the electron in a hydrogen atom
4 energy level to the
= 1. Enter the
transitions from the n; =
ground state energy level nf
wavelength of light in nm to two decimal
places.
Answer:
Chapter 3 Solutions
Modern Physics for Scientists and Engineers
Ch. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8QCh. 3 - Prob. 9QCh. 3 - In the experiment of Example 3.2, how could you...
Ch. 3 - Prob. 11QCh. 3 - Prob. 12QCh. 3 - Prob. 13QCh. 3 - Prob. 14QCh. 3 - Prob. 15QCh. 3 - Prob. 16QCh. 3 - Prob. 17QCh. 3 - Prob. 18QCh. 3 - Prob. 19QCh. 3 - Prob. 20QCh. 3 - Prob. 21QCh. 3 - Prob. 22QCh. 3 - Prob. 23QCh. 3 - Prob. 24QCh. 3 - Prob. 25QCh. 3 - Prob. 26QCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Across what potential difference does an electron...Ch. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Calculate max for blackbody radiation for (a)...Ch. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - White dwarf stars have been observed with a...Ch. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 52PCh. 3 - Prob. 53PCh. 3 - Prob. 54PCh. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - Prob. 57PCh. 3 - Prob. 58PCh. 3 - Prob. 59PCh. 3 - Prob. 60PCh. 3 - Prob. 61PCh. 3 - Prob. 62PCh. 3 - Prob. 63PCh. 3 - Prob. 64PCh. 3 - Prob. 65PCh. 3 - Prob. 66PCh. 3 - Prob. 67PCh. 3 - Prob. 68PCh. 3 - The Fermi Gamma-ray Space Telescope, launched in...Ch. 3 - Prob. 70P
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