DIChapter 2 Multiple Choice Question 69Part AWhat is the frequency of light with a wavelength of 0.440 um?O 2.55 x 1013 sec1O 5.93 x 1011 sec1O6.81 x 1014 secO 7.28 x 1014 sec1O 6.81 x 1011 sec1SubmitRequest AnswerProvide FeedbackP Type here to search?f2f3f4esc15

• The values provided in the question are:- i) Wavelength of a light, λ = 0.440 μm Since, 1 μm…

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Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter4: Introduction To Quantum Mechanics

Section: Chapter Questions

Problem 44P

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The maximum in the blackbody radiation intensity curve moves to shorter wavelength as temperature increases. The German physicist Wilhelm Wien demonstrated the relation to be max1/T . Later, Planck’s equation showed the maximum to be max=0.20hc/kt . In 1965, scientists researching problems in telecommunication discovered “background radiation” with maximum wavelength 1.05 mm (microwave region of the EM spectrum) throughout space. Estimate the temperature of space.
In a FranckHertz experiment on sodium atoms, the first excitation threshold occurs at 2.103 eV. Calculate the wavelength of emitted light expected just above this threshold. (Note: Sodium vapor lamps used in street lighting emit spectral lines with wavelengths 5891.8 and 5889.9 Å.)
The most prominent line in the spectrum of neon is found at 865.438 nm. Other lines are located at 837.761 nm, 878.062 nm, 878.375 nm, and 885.387 nm. (a) In what region of the electromagnetic spectrum are these lines found? (b) Are any of these lines found in the spectrum nein shown in Figure 6.6? (c) which of these lines represents the most energetic radiation? (d) What is the frequency of the most prominent line? What is the energy of one photon with this wavelength?
Calculate the wavelength of (a) the sodium line at 589 nm in diamond, which has a refractive index of 2.419. (b) the output of a ruby laser at 694.3 when it is passing through a piece of acrylic sheet (Plexiglas©), which has a refractive index of 1.49.
Radio waves in the AM region have frequencies in the range 530 to 1700 kilocycles per second (530 to 1700 kHz). Calculate the wavelength corresponding to a radio wave of frequency 1.460 106/s (that is, 1460 kHz).
What is a rotating frame of reference?
A particular transition of the rubidium atom emits light whose frequency is 3.84 1014 Hz. (Hz is the abbreviation for hertz, which is equivalent to the unit/s, or s1.) Is this light in the visible spectrum? If so, what is the color of the light? (See Figure 7.5.)
In high-temperature sources, sodium atoms emit a doublet with an average wavelength of 1139 nm. The transition responsible is from the 4s to 3p state. Set up a spreadsheet to calculate the ratio of the numberof excited atoms in the 4s state to the number in the ground 3s state over the temperature range from anacetylene-oxygen flame (3000°C) to the hottest part of an inductively coupled plasma source (8750°C).
A ruby laser puts out a pulse of red light at a wavelength of 694 nm. (The ruby laser is described in the essay on p 226.) If a pulse delivers 1.05 105 watts of power for 280 s, how many photons are there in this pulse? (1 watt = 1 J/s.)
Selenium atoms have a particular transition that emits light of frequency 1.53 1015 Hz. (Hz is the abbreviation for hertz, which is equivalent to the unit/s, or s1.) Is this light in the visible spectrum? If so, what is the color of the light? (See Figure 7.5.)
The Doppler effect is one of the sources of the line broadening in atomic absorption spectroscopy. Atoms moving toward the light source encounter higher-frequency radiation than atoms moving away from the source. The difference in wavelength experienced by an atom moving at speed v (compared to one atrest) is / = v/c , where c is the velocity of light. Estimate the line width (in nanometers) of the lithiumline at 670.776(6707.76 Å) when the absorbing atoms are at a temperature of (a) 2000 K and (b) 3120 K.The average speed of an atom is given by v=8kT/m , where k is Boltzmann’s constant, Tis the absolute temperature, and m is its mass.
The L lines for Ca, Zn, Zr, and Sn have wavelengths of 36.3, 11.9,6.07, and 3.60 Å, respectively. Estimate the wavelengths for the L lines for the elements listed in Problem 12-3.

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