Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 4, Problem 13Q
To determine
The method how the hydrogen atom might absorb a photon of energy less than 13.6 eV and also explain a process by which a 9.8 eV photon might be absorbed and a 15.2 eV photon.
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2.1 Determine the wavelength of photon emitted when an electron moves from n = 2 orbit to n = 1 orbit in a gold atom. If Z is the atomic number, and for gold Z = 79. Also, by how much energy will the bombarding electrons excite the gold atom to radiate this emission line?
a. How much energy is required to ionize a hydrogen atom containing an electron in the n=4 level?
b. What wavelength of light contains enough energy in a single photon to ionize a hydrogen atom?
Chapter 4 Solutions
Modern Physics for Scientists and Engineers
Ch. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10Q
Ch. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - What fraction of 5-MeV α particles will be...Ch. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61P
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- A certain X-ray photon has energy of 6.2 keV. Calculate its frequency. [Take h = 6.63 x 10 - 34 Js; c = 3.0 x 10 8 m/s; 1eV = 1.6 x 10 - 19 J]. O a. 1.2 x 10 -14 Hz O b. 2.1 x 10 -12 Hz O c. 2.0 x 10 -10 Hz O d. 1.5 x 10 18 Hzarrow_forwardDetermine the energy of a 891 nm photon in eV. Express your answer in three decimal places.arrow_forwardDescribe how the hydrogen atom might absorb a photon of energy less than 13.6 eV. Describe a process by which a 9.8-eV photon might be absorbed. What about a 15.2-eV photon?arrow_forward
- 1.1) A star has a radius of three times the Sun's radius, and an average number density of ions a factor of 1.75 higher than that of the Sun. How much time does it take on average for photons to travel across this star compared with the Sun?arrow_forward19. A hydrogen atom in excited energy state E24x 10" drops down to the ground state at energy level E 21.76 x 10"), giving off a photon. a. What is the energy of the emitted photon injoules? b. What is its wavelength? c. Based on the EM spectrum, what type of raciation is this?arrow_forwardA electron in a hydrogen atom transitions from the n=2 energy level to the ground state (n=1). What is the energy of the photon emitted? Give your answer in eV.arrow_forward
- Which of these expressions would yield the wavelength of light in meters emitted when an electron drops from orbit n=3 n=2 in a Bohr hydrogen atom? Given h=4.14 x 10^15 eVs and c=3.00 x 10^8 m/s. A. 1.89 x h x c B. hc/1.89 C. 1.89/hxc D. (1.51+ 3.4)/hc E. hc/3.4arrow_forward4. a. An electron in a hydrogen atom falls from an initial energy level of n-5 to a final level of n - 2. Find the energy, frequency, and wavelength of the photon that will be [For hydrogen: E-13.6 eV/n²] emitted for this sequence. b. A photon of energy 2.794 eV is absorbed by a hydrogen atom, causing its electron to be released with a kinetic energy of 2.250 eV. In what energy level was the electron? c. Find the wavelength of the matter wave associated with a proton moving at a speed of 350 m/s.arrow_forwardDoubly ionized lithium (Li++) emits a photon after transitioning from the n = 3 excited state directly back to the ground state. A) Calculate the mass of the lithium ion. (Atomic mass = 6.015123 u; electron mass = 5.485799 x 10-4 u) Express your answer in unified atomic mass units and to four significant figures. B) After the emission of the photon, the ion recoils. Calculate the recoil speed. Express your answer to three significant figures in meters/second.arrow_forward
- Calculate the wavelength, in nanometers, of the photon emitted when the electron in a hydrogen atom transitions from the level n1 = 8 to level n2 = 2. Use three significant figures in your answer.arrow_forwardConsider an electron in a hydrogen atom that undergoes a transition from n = 3 to n = 7. a. Is the atom undergoing absorption or emission? b. What is the change in energy of the atom? c. What is the wavelength (in nm) of the photon absorbed or emitted? d. What is the frequency of the photon absorbed or emitted?arrow_forwarda.) Find the frequency in Hertz of radiation with energy of 2.179 x 10-18 J per photon. b.) What frequency of light would be needed to make an electron in a Hydrogen atom jump from n=1 to n=3? c.) A spectral line is measured to have a wavelenght of 1000nm. Is this within the Balmer series?arrow_forward
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