Concept explainers
(a)
The charge and the mass of an ionized hydrogen atom to three significant digits.
(a)
Answer to Problem 1P
The charge of ionized hydrogen atom is
Explanation of Solution
The ionized hydrogen atom
Write the expression for charge on ionized hydrogen atom
Here,
Write the expression for mass of ionized hydrogen atom.
Here,
Conclusion:
Substitute
Substitute
Therefore, the charge of ionized hydrogen atom is
(b)
The charge and the mass of an ionized sodium atom to three significant digits.
(b)
Answer to Problem 1P
The charge of ionized sodium atom is
Explanation of Solution
Write the expression for mass of ionized sodium atom.
Here,
Conclusion:
Substitute
Substitute
Therefore, the charge of ionized sodium atom is
(c)
The charge and the mass of a chloride ion
(c)
Answer to Problem 1P
The charge of a chloride ion
Explanation of Solution
Write the expression for mass of a chloride ion
Here,
Conclusion:
Substitute
Substitute
Therefore, The charge of a chloride ion
(d)
The charge and the mass of a doubly ionized calcium atom
(d)
Answer to Problem 1P
The charge of a doubly ionized calcium atom
Explanation of Solution
Write the expression for a doubly ionized calcium atom
Here,
Conclusion:
Substitute
Substitute
Therefore, the charge of a doubly ionized calcium atom
(e)
The charge and the mass of a
(e)
Answer to Problem 1P
The charge of a
Explanation of Solution
Write the expression for a
Here,
Conclusion:
Substitute
Substitute
Therefore, the charge of a
(f)
The charge and the mass of a
(f)
Answer to Problem 1P
The charge of a
Explanation of Solution
Write the expression for a
Here,
Conclusion:
Substitute
Substitute
Therefore, The charge of a
(g)
The charge and the mass of the nucleus of nitrogen atom to three significant digits.
(g)
Answer to Problem 1P
The charge of the nucleus of nitrogen atom is
Explanation of Solution
Consider nitrogen atom as seven times ionized nitrogen atom
Write the expression for a
Here,
Conclusion:
Substitute
Substitute
Therefore, the charge of the nucleus of nitrogen atom is
(h)
The charge and the mass of molecular ion
(h)
Answer to Problem 1P
The charge of molecular ion
Explanation of Solution
Write the expression for charge of
Here,
Conclusion:
Substitute
Substitute
Therefore, The charge of molecular ion
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Chapter 19 Solutions
Principles of Physics: A Calculus-Based Text
- Because the charges on the electron and proton have the same absolute value, atoms are electrically neutral. Suppose that this is not precisely true, and the absolute value of the charge of the electron is less than the charge of the proton by 0.00100%. Estimate what the net charge of this textbook would be under these circumstances. Make any assumptions you feel are justified, but state clearly what they are. (Hint: Most of the atoms in this textbook have equal numbers of electrons, protons, and neutrons.) What would be the magnitude of the electric force between two textbooks placed 5.0 m apart? Would this force be attractive or repulsive? Discuss how the fact that ordinary matter is stable shows that the absolute values of the charges on the electron and proton must be identical to a very high level of accuracy.arrow_forwarda) Add the missing particles (or charge of particle in the case of the p = uud, n = ddu, л¹ = µẫ, ñ¯ = ūd, πº = uu or dd. T → e + →é + e + π →e+Ve p+n→p+p+ required to satisfy our laws of physics.arrow_forwardEarly in the 20th century, a leading model of the structure of the atom was that of English physicist J. J. Thomson (the discoverer of the electron). In Thomson’s model, an atom consisted of a sphere of positively charged material in which were embedded negatively charged electrons, like chocolate chips in a ball of cookie dough. Consider such an atom consisting of one electron with mass m and charge -e, which may be regarded as a point charge, and a uniformly charged sphere of charge +e and radius R. By that time time, it was known that excited atoms emit light waves of only certain frequencies. In his model, the frequency of emitted light is the same as the oscillation frequency of the electron (s) problems in the atom. What radius (in millimeter) would a Thomson-model atom need for it to produce red light of frequency 4.57 x 1014 Hz? (Don't express your answer in scientific notation)arrow_forward
- An α - particle has mass of m = 6.64 x 10-27 kg and charge q = +2e (e = 1.60 x 10-19 C). Find the magnitude of the electric repulsion between two α - particle at 4.0 cm. Write your answer in decimal with 2 - significant figure. No unit required.arrow_forwardQUESTION 1 Early in the 20th century, a leading model of the structure of the atom was that of English physicist J. J. Thomson (the discoverer of the electron). In Thomson's model, an atom consisted of a sphere of positively charged material in which were embedded negatively charged electrons, like chocolate chips in a ball of cookie dough. Consider such an atom consisting of one electron with mass m and charge -e, which may be regarded as a point charge, and a uniformly charged sphere of charge +e and radius R. By that time time, it was known that excited atoms emit light waves of only certain frequencies. In his model, the frequency of emitted light is the same as the oscillation frequency of the electron (s) problems in the atom. What radius (in millimeter) would a Thomson-model atom need for it to produce red light of frequency 4.57 x 1014 Hz? (Don't express your answer in scientific notation)arrow_forwardA metallic sphere of radius 2 cm is positively charged with 5 µC of charge, which spreads on the surface of the sphere uniformly. The metallic sphere stands on an insulated stand and is surrounded by a larger metallic spherical shell, of inner radius 5 cm and outer radius 6 cm. Now, a negative charge of 5 µC is placed on the spherical shell, which spreads out uniformly on the inner surface of the shell. Answer below questions. Let V(r→∞) = 0.. 6.0 cm Hint 5.0 cm + + +5.0 μC Submit Question -2.0 cm –5.0 με a. What is the electric potential immediately outside the shell? V(r> 6 cm) = V b. What is the electric potential of the spherical shell? Vahell= V c. What is the electric potential of the sphere? Vsphere = V d. What is the electric potential inside the sphere? V(r< 2 cm) = V MacBook Proarrow_forward
- Their are 3 infinitely thin concentric shells. The innermost shell has a radius of R. Another of the shells has a radius of 2R. The third shell has a radius of 3R. The charge for each shell is +Q. Draw a graph of E vs r (where E is on the y axis). Given that E is in units of (kxQ/(a^2)), on the graph make sure to show the values of E(3R), E(2R), and E(R). Show all workarrow_forward23.57 - An Ionic Crystal. Figure P23.57 Figure P23.57 shows eight point charges arranged at the comers of a cube with sides of length d. The values of the charges are +q and -q, as shown. This is +9 a model of one cell of a cubic ionic crystal. In sodium chloride (NaCI), for instance, the posi- tive ions are Na* and the nega- tive ions are CI". (a) Calculate the potential energy U of this arrangement. (Take as zero the potential energy of the eight charges when they are infinitely far apart.) (b) In part (a), you should have found that U < 0. Explain the relationship between this result and the observation that such ionic crystals exist in nature.arrow_forwardThe fundamental charge is e = 1.60 x 10-19 C. Identify whether each of the following statements is true or false. (a) It’s possible to transfer electric charge to an object so that its net electric charge is 7.5 times the fundamental electric charge, e. (b) All protons have a charge of +e. (c) Electrons in a conductor have a charge of -e while electrons in an insulator have no charge.arrow_forward
- Consta In the early years of the 20th century, a leading model of the structure of the atom was that of the English physicist J. J. Thomson (the discoverer of the electron). In Thomson's model, an atom consisted of a sphere of positively charged material in which were embedded negatively charged electrons, like chocolate chips in a ball of cookie dough. Consider such an atom consisting of one electron with mass m and charge -e, which may be regarded as a point charge, and a uniformly charged sphere of charge +e and radius R. Correct Part E By Thomson's time, it was known that excited atoms emit light waves of only certain frequencies. In his model, the frequency of emitted light is the same as the ocillation frequency of the electron or electrons in the atom. What would the radius of a Thomson-model atom have to be for it to produce red light of frequency 4.63x1014 Hz ? (see Appendix F from the textbook for data about the electron) Express your answer in meters. ? - 3 R= 3 • 10¯ m…arrow_forwardTwo charges are located on the x axis: q1 +8.5 μC at x₁ +5.6 cm, and 42 +8.5 µC at x₂ = -5.6 cm. Two other charges are located on the yaxis: 93 +2.3 μC at ys +4.6 cm, and q4-7.7 µC at ya +6.5 cm. Find (a) the magnitude and (b) the direction of the net electric field at the origin. (a) Number (b) The net electric field points Unitsarrow_forwardHelp me answer this An a particle (the nucleus of a helium atom) has mass of 6.64×10^-27kg and charge of q = 2e . Compare the magnitude of the electric repulsion force between two a particles with that of the gravitational attraction between them by getting the ratio F e / F 0. HINT: Convert the given charge into Coulombs.arrow_forward
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