Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
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Chapter 5, Problem 5.25P
To determine
The approximate radius of
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The electron in the hydrogen atom (in its
ground state) orbits the nucleus at a
distance of 0.5292 Å. (a) Calculate the
gravitational force and (b) the
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the two. (c) Comment on the magnitude
and the importance of these two forces.
[G, gravitational constant = 6.672 x 10-11 N
m2 kg-2; 4πЄo = 1.113 x 10-10 C2 m-1 J-1]
Someone wanted to build a scale model of the atom with a nucleus 1.4 m in diameter.
How far away would the nearest electron need to be in meters? Assume the orbital radius of an electron is 10^(-10)m, while the radius of the nucleus is 10^(-15) m.
ra=?
The energy of the n = 2 Bohr orbit is -30.6 eV for
an unidentified ionized atom in which only one
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Number i
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Chapter 5 Solutions
Modern Physics For Scientists And Engineers
Ch. 5 - Prob. 5.1PCh. 5 - Prob. 5.2PCh. 5 - Prob. 5.3PCh. 5 - Prob. 5.4PCh. 5 - Prob. 5.5PCh. 5 - Prob. 5.6PCh. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - Prob. 5.9PCh. 5 - Prob. 5.10P
Ch. 5 - Prob. 5.11PCh. 5 - Prob. 5.12PCh. 5 - Prob. 5.13PCh. 5 - Prob. 5.14PCh. 5 - Prob. 5.15PCh. 5 - Prob. 5.16PCh. 5 - Prob. 5.17PCh. 5 - Prob. 5.18PCh. 5 - Prob. 5.19PCh. 5 - Prob. 5.20PCh. 5 - Prob. 5.21PCh. 5 - Prob. 5.22PCh. 5 - Prob. 5.23PCh. 5 - Prob. 5.24PCh. 5 - Prob. 5.25PCh. 5 - Prob. 5.26PCh. 5 - Prob. 5.27P
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- A hydrogen atom is placed in a magnetic field. Which of the following quantities are affected? (a) total energy; (h) angular momentum; (c) z-component of angular momentum; (d) polar angle.arrow_forwardExplain how a hydrogen atom in the ground state (l = 0) can interact magnetically with an external magnetic field.arrow_forwardForm factor of atomic hydrogen. For the hydrogen atom in its ground state, the number density is n(r) = (ra)¯ exp(-2r/a), where a, is the Bohr radius. Show that the form factor is fc = 16/(4 + G*a)*. %3Darrow_forward
- How many revolutions does the electron in the hydrogen atom in the ground state make per second? (h = 6.63x10 Js, mass of clectron = 9.11x101 kg, Bohr radius = 0.053 nm.) A- 6.55x1015 B- 3.28x1015 C- 3.28x10 D- 1.64x105 E- 9.11x105 The ionisation energy of the hydrogen atom is 13.6 eV. If hydrogen atoms in the ground state absorb quanta of encrgy 12.75 eV, how many discrete spectral lines will be emitted as per Bohr's theory? A- 1 В-2 С-4 D- 6 E- zero The electron in a hydrogen atom makes a transition from an excited state to the ground state. Which of the following statements is true? A- Its kinetic energy increases and its potential and total energies decrease. B- Its kinetic energy decreases, potential energy increases and its total energy remains the same. C- ts kinetic and total energies decrease and its potential energy increases. D- Its kinetic, potential and total energies decrease. An electron in a Haydrogen atom undergoes a transition from the state n = 4 to n = 2. The energy…arrow_forwardForm factor of atomic hydrogen. For the hydrogen atom in its ground state, the number density is n(r) = (7a) exp(-2r/a,), where a, is the Bohr radius. Show that the form factor is fc = 16/(4 + Gʻa)*. %3D %3Darrow_forwardSuppose someone wanted to build a scale model of the atom with a nucleus 1.4 m in diameter. How far away would the nearest electron need to be in meters? Assume the orbital radius of an electron is 10^(-10)m, while the radius of the nucleus is 10^15 m. ra=?arrow_forward
- The diameter of an atom is 1.2 × 10-10 m and the diameter of its nucleus is 1.0 × 10-14 m. What percent of the atom’s volume is occupied by mass and what percent is empty space?arrow_forwardWhat is the radius in nm of the electron orbit of a hydrogen atom for n = 4? answer in (nm)arrow_forwardDetermine the most probable distance from the nucleus for an electron in the 2p orbital of a hydrogen atom. The radial wavefunction, Rµ1 (r), for the 2p orbital is given by 1 R2.1 (r) = Zr 2a0 e 2 V6 \ ao ao Give your answer in terms of ao. r = aoarrow_forward
- (a)Calculate the radius (in m) of the orbit for the innermost electron in osmium assuming it is relatively unaffected by the atom's other electrons. Answer in m (b)What is the ratio of this orbital radius to the 6.90 fm radius of the osmium nucleus? answer in relectron Inucleus answer in R electron/R nucluesarrow_forwardFrom far away a proton is fired directly toward the center of the nucleus of a mercury atom. Mercury is element number 80, and the diameter of the nucleus is 14.0 fm. Assume the mercury nucleus is fully-ionized, with no electrons bound to it. If the proton is fired at a speed of 3.8×107 m/s, what is its closest approach to the surface of the nucleus? Assume the nucleus remains at rest. Express your answer with the appropriate units. ► View Available Hint(s) 0 d = 2.7 Submit A fm Previous Answers ? X Incorrect; Try Again; 13 attempts remainingarrow_forwardIf an electron is in the ground state of the hydrogen atom, the probability that its distance from the proton is more than one Bhor radius is approximately 1. 0.68 2. 0.48 3. 0.28 4. 0.91arrow_forward
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