Two charged particles attract each other with a force of magnitude F acting on each. If the charge of one is doubled and the distance separating the particles is also doubled, the force acting on each of the two particles has magnitude
(a) F/2
(b) F/4
(c) F
(d) 2F
(e) 4F
(f) None of the above.
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The electric field at a point in space is a measure of
(a) The total charge on an object at that point.
(b) The electric force on any charged object at that point.
(c) The charge-to-mass ratio of an object at that point.
(d) The electric force per unit mass on a point charge at that point.
(e) The electric force per unit charge on a point charge at that point.
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A charged insulator and an uncharged metal object near each other
(a) Exert no electric force on each other.
(b) Repel each other electrically.
(c) Attract each other electrically.
(d) Attract or repel, depending on whether the charge is positive or negative.
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The following hypothetical reaction shows a neutron (n) decaying into a proton (p+), an electron (e−), and an uncharged particle called an antineutrino
:

At first there is no charge, but then charge seems to be “created.” Does this reaction violate the law of charge conservation? Explain.
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Which of these statements comparing electric and gravitational forces is correct?
(a) The direction of the electric force exerted by one point particle on another is always the same as the direction of the gravitational force exerted by that particle on the other.
(b) The electric and gravitational forces exerted by two particles on each other are inversely proportional to the separation of the particles.
(c) The electric force exerted by one planet on another is typically stronger than the gravitational force exerted by that same planet on the other.
(d) None of the above
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In the figure, which best represents the field lines due to two point charges with opposite charges?

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Two point charges q and 2q lie on the x-axis. Which region(s) on the x-axis include a point where the electric field due to the two point charges is zero?
(a) To the right of 2q
(b) Between 2q and point P
(c) Between point P and q
(d) To the left of q
(e) Both (a) and (c)
(f) Both (b) and (d)

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A rod is negatively charged by rubbing it with fur. It is brought near another rod of unknown composition and charge. There is a repulsive force on each.
(a) Is the first rod an insulator or a conductor? Explain.
(b) What can you tell about the charge of the second rod?
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In each of six situations, a particle (mass m, charge q) is located at a point where the electric field has magnitude E. No other forces act on the particles. Rank them in order of the magnitude of the particle’s acceleration, from largest to smallest.

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Some forms of cancer can be treated using proton therapy in which proton beams are accelerated to high energies, then directed to collide into a tumor, killing the malignant cells. Suppose a proton accelerator is 4.0 m long and must accelerate protons from rest to a speed of 1.0 × 107 m/s. Ignore any relativistic effects (Chapter 26) and determine the magnitude of the average electric field that could accelerate these protons.
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A tiny charged pellet of mass m is suspended at rest between two horizontal, charged metallic plates. The lower plate has a positive charge and the upper plate has a negative charge. Which statement in the answers here is not true?

(a) The electric field between the plates points vertically upward.
(b) The pellet is negatively charged.
(c) The magnitude of the electric force on the pellet is equal to mg.
(d) The plates are at different potentials.
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Can someone please explain how to use ladder operators for the addition of angular momentum, it can be found in chapter 4 of Griffiths intro to quantum mechanics. Please provide some examples of this, you may use problems from chapter four of the book. Thank you.
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Light attempts to move from cubic zirconia (n=1.61) to air. In a nearby experiment, light is attempting to move from cubic zirconia to water. Finally, in a third trial, light is attempting to move from cubic zirconia to a material with an index of refraction of 1.62. For the angles of refraction (θcz->air , θcz->water , θcz->material ) use greater than symbols (>) to rank these three angles. (e.g. θ2 > θ2' > θ2" ) [Remember, the greater the refraction, the smaller the refracted angle. So the angle indicating the greatest refraction (i.e. the smallest angle) will be on the right.]
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A circular wire loop of radius 1.4 cm is placed in a magnetic field of magnitude 2.3 T. If the magnetic field goes to zero in a time of 5 s, what is the magnitude of the current induced in the loop? The wire has a diameter of 2 mm, and the resistivity of copper is 1.7 x 10-8 Ohm-m.
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Photosynthesis relies on assemblies of molecules that work in tandem to produce energy from water and light. One set of molecules absorbs light primarily in the red and another absorbs light primarily in the blue. Draw the energy level diagram for each and draw the absorption profile versus photon energy. Explain why green leaves turn yellow in the Fall.
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