College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 30, Problem 1TP
To determine
The possible values for the final charges on the spheres.
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Four +3 µC charges are held in place in a line. There is a distance of 10 cm between adjacent
charges.
a) What is the initial PE of the four-charge configuration?
b) Charges a and d are released simultaneously while b and c are held in their original positions.
What is the final KE of charge a and of charge d? All the charges have equal mass.
Answer the following questions:
Two identical, small insulating balls are suspended by separate 0.25 m threads that are
attached to a common point on the ceiling. Each ball has a mass of 2 x 10-3 kg.
Initially the balls are uncharged and hang straight down. They are then given identical
positive charges and, as a result, spread apart with an angle 36° between the threads.
Determine a) the charge on each ball and b) the tension in the threads.
Four identical metallic spheres with charges of +9.0 µC, +1.0 µC, −2.6 µC, and −7.6 µC are placed on a piece of paper. The paper is lifted on all corners so that the spheres come into contact with each other simultaneously. The paper is then flattened so that the metallic spheres become separated.
(a) What is the resulting charge on each sphere? µC(b) How many excess or absent electrons (depending on the sign of your answer to part (a)) correspond to the resulting charge on each sphere? electrons are absent or in excess?
Chapter 30 Solutions
College Physics
Ch. 30 - Name three different types of evidence for the...Ch. 30 - Explain why patterns observed in the periodic...Ch. 30 - If atoms exist, why can't we see them with visible...Ch. 30 - What two pieces of evidence allowed the first...Ch. 30 - How do the allowed orbits for electrons in atoms...Ch. 30 - How do the allowed orbits for electrons in atoms...Ch. 30 - Explain how Bohr's rule for the quantization of...Ch. 30 - What is a hydrogen-like atom, and how are the...Ch. 30 - Explain why characteristic x rays are the most...Ch. 30 - Why does the energy of characteristic x rays...
Ch. 30 - Observers at a safe distance from atmospheric test...Ch. 30 - Lasers are used to burn and read CDs. Explain why...Ch. 30 - Crystal lattices can be examined with x rays but...Ch. 30 - CT scanners do not detect details smaller than...Ch. 30 - How do the allowed orbits for electrons in atoms...Ch. 30 - Atomic and molecular spectra are discrete. What...Ch. 30 - Hydrogen gas can only absorb EM radiation that has...Ch. 30 - Lasers are used to burn and read CDs. Explain why...Ch. 30 - The coating on the inside of fluorescent light...Ch. 30 - What is the difference between fluorescence and...Ch. 30 - How can you tell that a hologram is a true...Ch. 30 - How is the de Broglie wavelength of electrons...Ch. 30 - What is the Zeeman effect, and what type of...Ch. 30 - Define the quantum numbers n,l,ml,s, and ms.Ch. 30 - For a given value of n, what are the allowed...Ch. 30 - For a given value of l, what are the allowed...Ch. 30 - List all the possible values of s and msfor an...Ch. 30 - Identify the shell, subshell, and number of...Ch. 30 - Which of the following are not allowed? State...Ch. 30 - Using the given charge-to-mass ratios for...Ch. 30 - (a) Calculate the mass of a proton using the...Ch. 30 - If someone wanted to build a scale model of the...Ch. 30 - Rutherford found the size of the nucleus to be...Ch. 30 - In Millikan's oil-drop experiment, one looks at a...Ch. 30 - (a) An aspiring physicist wants to build a scale...Ch. 30 - By calculating its wavelength, show that the first...Ch. 30 - Find the wavelength of the third line in the Lyman...Ch. 30 - Look up the values of the quantities in...Ch. 30 - Verify that the ground state energy E0 is 13.6 eV...Ch. 30 - If a hydrogen atom has its electron in the n=4...Ch. 30 - A hydrogen atom in an excited state can be ionized...Ch. 30 - Find the radius of a hydrogen atom in the n=2...Ch. 30 - Show that (13.6eV)/hc=1.097107m=R (Rydberg's...Ch. 30 - What is the smallest-wavelength line in the Balmer...Ch. 30 - Show that the entire Paschen series is in the...Ch. 30 - Do the Balmer and Lyman series overlap? To answer...Ch. 30 - (a) Which line in the Balmer series is the first...Ch. 30 - A wavelength of 4.653 m is observed in a hydrogen...Ch. 30 - A singly ionized helium ion has only one electron...Ch. 30 - A beryllium ion with a single electron (denoted...Ch. 30 - Atoms can be ionized by thermal collisions, such...Ch. 30 - Verify Equations rn=n2ZaB and...Ch. 30 - The wavelength of the four Balmer series lines for...Ch. 30 - (a) What is the shortest-wavelength x-ray...Ch. 30 - A color television tube also generates some x rays...Ch. 30 - An x ray tube has an applied voltage of 100 kV....Ch. 30 - The maximum characteristic x-ray photon energy...Ch. 30 - What are the approximate energies of the K and K...Ch. 30 - Figure 30.39 shows the energy-level diagram for...Ch. 30 - A helium-neon laser is pumped by electric...Ch. 30 - Ruby lasers have chromium atoms doped in an...Ch. 30 - (a) What energy photons can pump chromium atoms in...Ch. 30 - Some of the most powerful lasers are based on the...Ch. 30 - If an atom has an electron in the n=5 state with...Ch. 30 - An atom has an electron with m1=2. What is the...Ch. 30 - What are the possible values of m1 for an electron...Ch. 30 - What, if any, constraints does a value of ml=1...Ch. 30 - (a) Calculate the magnitude of the angular...Ch. 30 - (a) What is the magnitude of the angular momentum...Ch. 30 - Repeat Exercise 30.40 for l=3.Ch. 30 - (a) How many angles can L make with the z-axis for...Ch. 30 - What angles can the spin S of an electron make...Ch. 30 - (a) How many electrons can be in the n=4 shell?...Ch. 30 - (a) What is the minimum value of 1 for a subshell...Ch. 30 - (a) If one subshell of an atom has 9 electrons in...Ch. 30 - (a) List all possible sets of quantum numbers...Ch. 30 - Which of the following spectroscopic notations are...Ch. 30 - Which of the following spectroscopic notations are...Ch. 30 - (a) Using the Pauli exclusion principle and the...Ch. 30 - Integrated Concepts Estimate the density of a...Ch. 30 - Integrated Concepts The electric and magnetic...Ch. 30 - (a) What is the distance between the slits of a...Ch. 30 - Integrated Concepts A galaxy moving away from the...Ch. 30 - Integrated Concepts Calculate the velocity of a...Ch. 30 - Integrated Concepts In a Millikan oil-drop...Ch. 30 - Integrated Concepts What double-slit separation...Ch. 30 - Integrated Concepts In a laboratory experiment...Ch. 30 - Integrated Concepts Find the value of l, the...Ch. 30 - Integrated Concepts Particles called muons exist...Ch. 30 - Integrated Concepts Calculate the minimum amount...Ch. 30 - Integrated Concepts A carbon dioxide laser used in...Ch. 30 - Integrated Concepts Suppose an MRI scanner uses...Ch. 30 - Integrated Concepts (a) An excimer laser used for...Ch. 30 - Integrated Concepts A neighboring galaxy rotates...Ch. 30 - Integrated Concepts A pulsar is a rapidly spinning...Ch. 30 - Integrated Concepts Prove that the velocity of...Ch. 30 - Unreasonable Results (a) What voltage must be...Ch. 30 - Unreasonable Results A student in a physics...Ch. 30 - Construct Your Own Problem The solar corona is so...Ch. 30 - Construct Your Own Problem Consider the...Ch. 30 - Prob. 1TPCh. 30 - Prob. 2TPCh. 30 - Prob. 3TPCh. 30 - Prob. 4TPCh. 30 - Prob. 5TPCh. 30 - Prob. 6TPCh. 30 - Prob. 7TPCh. 30 - Prob. 8TPCh. 30 - Prob. 9TPCh. 30 - Prob. 10TPCh. 30 - Prob. 11TPCh. 30 - Prob. 12TPCh. 30 - Prob. 13TPCh. 30 - Prob. 14TPCh. 30 - Prob. 15TPCh. 30 - Prob. 16TP
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- Two 25.0-g copper spheres are placed 75.0 cm apart. Each copper atom has 29 electrons, and the molar mass of copper is 63.5463 g/mol. What fraction of the electrons from the first sphere must be transferred to the second sphere for the net electrostatic force between the spheres to equal 100 kN?arrow_forwardA sphere has a net charge of 8.05 nC, and a negatively charged rod has a charge of 6.03 nC. The sphere and rod undergo a process such that 5.00 109 electrons are transferred from the rod to the sphere. What are the charges of the sphere and the rod after this process?arrow_forwardThree charged spheres are at rest in a plane as shown in Figure P23.70. Spheres A and B are fixed, but sphere C is attached to the ceiling by a lightweight thread. The tension in the string is 0.240 N. Spheres A and B have charges qA = 28.0 nC and qB = 28.0 nC. What charge is carried by sphere C?arrow_forward
- Initially a glass rod and a piece of silk are neutral. After you rub the silk against the rod, the glass rod has a surplus of 3.33 1011 protons. What is the charge q of the silk?arrow_forwardCharges A, B, and C are arranged in the xy plane with qA = 5.60 C, qB = 4.00 C, and qC = 2.30 /C (Fig. P23.43). What are the magnitude and direction of the electrostatic force on charge B? Figure P23.43arrow_forwardTwo small, identical metal balls with charges 5.0 C and 15.0 C are held in place 1.0 m apart. In an experiment, they are connected for a short time by a conducting wire. a. What will be the charge on each ball after this experiment? b. By what factor will the magnitude of the electrostatic force on either ball change after this experiment is performed?arrow_forward
- An electron with a speed of 3.00 106 m/s moves into a uniform electric field of magnitude 1.00 103 N/C. The field lines are parallel to the electrons velocity and pointing in the same direction as the velocity. How far does the electron travel before it is brought to rest? (a) 2.56 cm (b) 5.12 cm (c) 11.2 cm (d) 3.34 m (e) 4.24 marrow_forwardThe fundamental charge is e = 1.60 1019 C. Identify whether each of the following statements is true or false. (a) Its 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_forwardA circular ring of charge with radius b has total charge q uniformly distributed around it. What is the magnitude of the electric field at the center of the ring? (a) 0 (b) keq/b2 (c) keq2/b2 (d) keq2/b (e) none of those answersarrow_forward
- Two large neutral metal plates, fitted tightly against each other, are placed between two particles with charges of equal magnitude but opposite sign, such that the plates are perpendicular to the line connecting the charges (Fig. P24.10). What will happen to each plate when they are released and allowed to move freely? Draw the electric field lines for the particles-plates system. FIGURE P24.10arrow_forwardFigure P23.49 shows two identical small, charged spheres. One of mass 4.0 g is hanging by an insulating thread of length 20.0 cm. The other is held in place and has charge q1 = 3.6 C. The thread makes an angle of 18 with the vertical, resulting in the spheres being aligned horizontally, a distance r apart. Determine the charge q2 on the hanging sphere. Figure P23.49arrow_forwardA thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.arrow_forward
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