Final Review - Comprehensive

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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 1/49 Final Review - Comprehensive Due: 11:59pm on Monday, July 4, 2022 To understand how points are awarded, read the Grading Policy for this assignment. Problem 21.08 Part A Two small insulating spheres are attached to silk threads and aligned vertically as shown in the figure. These spheres have equal masses of 40 g, and carry charges and of equal magnitude 2.0 μC but opposite sign.The spheres are brought into the positions shown in the figure, with a vertical separation of 15 cm between them. Note that you cannot neglect gravity. ( N · m 2 /C 2 ) The tension in the lower thread is closest to ANSWER: Problem 21.16 Part A A small glass bead has been charged to 8 nC. What is the magnitude of the electric field 2.0 cm from the center of the bead? ( k = 1/4 πε 0 = 8.99 × 10 9 N · m 2 /C 2 ) N. N. N. N. N.
7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 2/49 ANSWER: Problem 21.29 Part A A 3-μC positive point charge is located at the origin and a 10 μC positive point charge is located at x = 0.00 m, y = 1.0 m. Find the coordinates of the point where the net electric field strength due to these charges is zero. ANSWER: Problem 22.12 Part A A solid nonconducting sphere of radius carries a charge distributed uniformly throughout its volume. At a certain distance 1 ( 1 < ) from the center of the sphere, the electric field has magnitude . If the same charge were distributed uniformly throughout a sphere of radius 2 , the magnitude of the electric field at the same distance 1 from the center would be equal to ANSWER: 1.4×10 −3 N/C 3.6×10 −6 N/C 1.8×10 5 N/C 3600 N/C x = 0.00 m, y = 0.56 m x = 0.00 m, y = 0.46 m x = 0.00 m, y = 0.25 m x = 0.00 m, y = 0.35 m
7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 3/49 Problem 22.07 Part A Four dipoles, each consisting of a +10-µC charge and a -10-µC charge, are located in the xy -plane with their centers 1.0 mm from the origin, as shown. A sphere passes through the dipoles, as shown in the figure. What is the electric flux through the sphere due to these dipoles? ( = 8.85 × 10 -12 C 2 /N · m 2 ) ANSWER: Problem 22.01 2 E. /2. /8. 8 . . 9.0 × 10 6 N · m 2 /C 11 × 10 5 N · m 2 /C 0.00 N · m 2 /C 4.5 × 10 6 N · m 2 /C
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 4/49 Part A A nonuniform electric field is directed along the -axis at all points in space. This magnitude of the field varies with , but not with respect to or . The axis of a cylindrical surface, 0.80 m long and 0.20 m in diameter, is aligned parallel to the - axis, as shown in the figure. The electric fields 1 and 2 , at the ends of the cylindrical surface, have magnitudes of 6000 N/C and 1000 N/C respectively, and are directed as shown. What is the net electric flux passing through the cylindrical surface? ANSWER: Conceptual Question 23.14 Part A A conducting sphere contains positive charge distributed uniformly over its surface. Which statements about the potential due to this sphere are true? All potentials are measured relative to infinity. (There may be more than one correct choice.) Choose all that apply. ANSWER: +350 N · m 2 /C -160 N · m 2 /C +160 N · m 2 /C 0.00 N · m 2 /C -350 N · m 2 /C The potential is lowest, but not zero, at the center of the sphere. The potential at the center of the sphere is the same as the potential at the surface. The potential at the center is the same as the potential at infinity. The potential at the center of the sphere is zero. The potential at the surface is higher than the potential at the center.
7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 5/49 Conceptual Question 23.18 Part A The potential as a function of position is shown in the graph in the figure. Which statement about the electric field is true? ANSWER: Problem 23.24 Part A A conducting sphere of radius 20.0 cm carries an excess charge of +15.0 µC, and no other charges are present. ( = 1/4 π = 8.99 × 10 9 N · m 2 /C 2 ) The potential (relative to infinity) due to this sphere at a point 12.0 cm from its center is closest to ANSWER: The electric field is zero at x = 0, its magnitude is at a maximum at x = 5 cm, and the field is directed to the right there. The electric field is zero at x = 0, its magnitude is at a maximum at x = 15 cm, and the field is directed to the left there. The electric field is zero at x = 10 cm, its magnitude is at a maximum at x = 5 cm, and the field is directed to the left there. The electric field is zero at x = 5 cm, its magnitude is at a maximum at x = 0, and the field is directed to the right there.
7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 6/49 Problem 24.06 Part A A cylindrical capacitor is made of two thin-walled concentric cylinders. The inner cylinder has radius 5 , and the outer one a radius 12 . The common length of the cylinders is 155 . What is the potential energy stored in this capacitor when a potential difference 7 is applied between the inner and outer cylinder? ( = ) ANSWER: Problem 24.16 Part A Five capacitors are connected across a potential difference V ab as shown in the figure. Because of the dielectrics used, each capacitor will break down if the potential across it exceeds 30.0 V. The largest that V ab can be without damaging any of the capacitors is closest to 9380 kV. zero. 674 kV. 3380 kV. 1130 kV. 2.7×10 −7 2.1×10 −6 2.4×10 −7 8.8×10 −8 3.8×10 −8
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 7/49 ANSWER: Problem 24.34 Part A A parallel-plate capacitor has a capacitance of 10 mF and charged with a 20-V power supply. The power supply is then removed and a dielectric material of dielectric constant 4.0 is used to fill the space between the plates. How much energy is now stored by the capacitor? ANSWER: 580 V. 150 V. 6.0 V. 64 V. 30 V. 250 mJ 62.5 mJ 125 mJ 500 mJ 1200 mJ
7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 8/49 Conceptual Question 25.02 Part A When electric current is flowing in a metal, the electrons are moving ANSWER: Conceptual Question 25.06 Part A You are given a copper bar of dimensions 3 cm × 5 cm × 8 cm and asked to attach leads to it in order to make a resistor. (a) If you want to achieve the SMALLEST possible resistance, you should attach the leads to the opposite faces that measure ANSWER: Part B (b) If you want to achieve the LARGEST possible resistance, you should attach the leads to the opposite faces that measure ANSWER: at nearly the speed of light. at the speed of light. at the speed of sound in air. at the speed of sound in the metal. at none of the above speeds. 3 cm × 8 cm. 5 cm × 8 cm. 3 cm × 5 cm. Any pair of faces produces the same resistance.
7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 9/49 Problem 25.16 Part A The resistivity of gold is 2.44×10 -8 Ω•m at room temperature. A gold wire that is 1.4 mm in diameter and 12 cm long carries a current of 210 mA. What is the electric field in the wire? ANSWER: Problem 26.36 Part A A 6.3-mF capacitor is discharged through a 3.0-kΩ resistor. How long will it take for the capacitor to lose half its initial stored energy? ANSWER: 3 cm × 5 cm. 3 cm × 8 cm. 5 cm × 8 cm. Any pair of faces produces the same resistance. 8.3×10 −4 V/m 3.3×10 −3 V/m 4.2×10 −3 V/m 2.6×10 −3 V/m 8.3×10 −3 V/m
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 10/49 Problem 26.14 Part A For the circuit shown in the figure, all quantities are accurate to 3 significant figures. What is the power dissipated in the 2- resistor? ANSWER: Problem 26.06 0.165 s 13.1 s 9.45 s 6.55 s 18.9 s 8.0 W 3.56 W 6.67 W 5.33 W 2.67 W
7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 11/49 Part A In the circuit shown in the figure, an ideal ohmmeter is connected across ab with the switch open. All the connecting leads have negligible resistance. The reading of the ohmmeter will be closest to ANSWER: Problem 27.08 Part A An electron moving with a velocity = 5.0 × 10 7 m/s enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is = 10 4 V/m . What magnetic field will allow the electron to go through the region without being deflected? ANSWER: 10 . 30 . 60 . 40 . 7.5 .
7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 12/49 Problem 27.12 Part A As shown in the figure, a small particle of charge q = -6.2 × 10 -6 C and mass m = 3.1× 10 -12 kg has velocity v o = 11.5 × 10 3 m/s as it enters a region of uniform magnetic field. The particle is observed to travel in the semicircular path shown, with radius R = 5.0 cm. Calculate the magnitude and direction of the magnetic field in the region. ANSWER: Problem 27.18 = +2.0 × 10 -4 T = +5.0 × 10 -4 T = +2.0 × 10 -4 T = -2.0 × 10 -4 T = -2.0 × 10 -4 T 0.115 T; directed from the paper 0.115 T; directed into the paper 0.132 T; directed from the paper 0.132 T; directed into the paper
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 13/49 Part A An electron enters a magnetic field of 0.81 T with a velocity perpendicular to the direction of the field. At what frequency does the electron traverse a circular path? ( m el = 9.11 × 10 -31 kg, e = 1.60 × 10 -19 C) ANSWER: Conceptual Question 28.02 Part A A current carrying loop of wire lies flat on a table top. When viewed from above, the current moves around the loop in a counterclockwise sense. (a) For points OUTSIDE the loop, the magnetic field caused by this current ANSWER: Part B (b) For points INSIDE the loop, the magnetic field caused by this current ANSWER: 4.3 × 10 -7 Hz 2.3 × 10 10 Hz 4.3 × 10 -11 Hz 2.3 × 10 14 Hz points straight up. points straight down. circles the loop in a clockwise direction. circles the loop in a counterclockwise direction. is zero.
7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 14/49 Conceptual Question 28.10 Part A Two very long parallel wires in the xy -plane, a distance 2 apart, are parallel to the y- axis and carry equal currents as shown in the figure. The + direction points perpendicular to the xy -plane in a right-handed coordinate system. If the left current flows in the + direction and the right current flows in the -y direction, which one of the graphs shown in the figure below best represents the component of the net magnetic field, in the xy -plane, as a function of ? ( Caution: These graphs are not magnetic field lines.) circles the loop in a clockwise direction. points straight down. points straight up. circles the loop in a counterclockwise direction. is zero.
7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 15/49 ANSWER: Problem 28.24 1 2 3 4 5
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 16/49 Part A The figure shows the cross-section of a hollow cylinder of inner radius = 5.0 cm and outer radius = 7.0 cm. A uniform current density of 1.0 A/ cm 2 flows through the cylinder parallel to its axis. Calculate the magnitude of the magnetic field at a distance of = 10 cm from the axis of the cylinder. ( μ 0 = 4 π × 10 -7 T · m/A) ANSWER: Conceptual Question 29.02 Part A A large magnetic flux change through a coil must induce a greater emf in the coil than a small flux change. ANSWER: Conceptual Question 29.08 0.00 T 2.5 × 10 -4 T 1.5 × 10 -4 T 4.5 × 10 -4 T 0.50 × 10 -4 T True False
7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 17/49 Part A A circular metal ring is situated above a long straight wire, as shown in the figure. The straight wire has a current flowing to the right, and the current is increasing in time at a constant rate. Which statement is true? ANSWER: Conceptual Question 29.20 Part A A capacitor is charging in a simple RC circuit with a dc battery. Which one of the following statements about this capacitor is accurate? ANSWER: There is an induced current in the metal ring, flowing in a clockwise direction. There is an induced current in the metal ring, flowing in a counter-clockwise direction. There is no induced current in the metal ring because the current in the wire is changing at a constant rate. The magnetic field between the capacitor plates is increasing with time because the charge on the plates is increasing. There is a magnetic field between the capacitor plates, even though no charge travels between them, because the magnetic flux between the plates is changing. There is a magnetic field between the capacitor plates because charge travels between the plates by jumping from one plate to the other. There is a magnetic field between the capacitor plates, even though no charge travels between them, because the electric flux between the plates is changing. There is no magnetic field between the capacitor plates because no charge travels between the plates.
7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 18/49 Problem 29.04 Part A A ten-loop coil having an area of 0.23 m 2 and a very large resistance is in a 0.047-T uniform magnetic field oriented so that the maximum flux goes through the coil. The coil is then rotated so that the flux through it goes to zero in 0.34 s. What is the magnitude of the average emf induced in the coil during the 0.34 s? ANSWER: Problem 29.08 Part A A coil of 160 turns and area 0.20 m 2 is placed with its axis parallel to a magnetic field of initial magnitude 0.40 T. The magnetic field changes uniformly from 0.40 T in the + direction to 0.40 T in the - direction in 2.0 s. If the resistance of the coil is 16 , at what rate is power generated in the coil? ANSWER: Problem 29.12 0.032 V 0.0032 V 1.0 V 0.00 V 0.32 V 15 W 10 W 5.0 W 25 W 20 W
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 19/49 Part A A conducting bar slides without friction on two parallel horizontal rails that are 50 cm apart and connected by a wire at one end. The resistance of the bar and the rails is constant and equal to 0.10 . A uniform magnetic field is perpendicular to the plane of the rails. A 0.080-N force parallel to the rails is required to keep the bar moving at a constant speed of 0.50 m/s. What is the magnitude of the magnetic field? ANSWER: Problem 29.16 Part A Suppose that you wish to construct a simple ac generator having an output of 12 V maximum when rotated at 60 Hz. A uniform magnetic field of 0.050 T is available. If the area of the rotating coil is 100 cm 2 , how many turns do you need? ANSWER: Problem 29.18 0.10 T 0.54 T 0.36 T 0.25 T 0.93 T 8 16 128 64 32
7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 20/49 Part A A rectangular coil having turns and measuring 15 cm by 25 cm is rotating in a uniform 1.6-T magnetic field with a frequency of 75 Hz. The rotation axis is perpendicular to the direction of the field. If the coil develops a sinusoidal emf of maximum value 56.9 V, what is the value of ? ANSWER: Problem 30.04 Part A At what rate would the current in a 100-mH inductor have to change to induce an emf of 1000 V in the inductor? ANSWER: Problem 30.06 Part A 6 8 4 2 10 100 A/s 10 A/s 1000 A/s 1 A/s 10,000 A/s
7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 21/49 In the figure, the current in a solenoid having no appreciable resistance is flowing from b to a and is decreasing at a rate of 3.7 A/s. The self-induced emf in the solenoid is found to be 6.4 V. What is the self-inductance of the solenoid? Express your answer using two significant figures. ANSWER: Part B Which point, a or b is at higher potential? ANSWER: Problem 30.08 Part A A solenoid of length 0.700 m having a circular cross-section of radius 5.00 cm stores 6.00 µJ of energy when a 0.400-A current runs through it. What is the winding density of the solenoid? ( μ 0 = 4 π × 10 -7 T · m/A) ANSWER: Problem 30.11 L = H point a point b 327 turns/m 865 turns/m 104 turns/m 1080 turns/m 472 turns/m
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 22/49 Part A What is the energy density in the magnetic field 25 cm from a long straight wire carrying a current of 12 A? ( μ 0 = 4 π × 10 -7 T · m/A) ANSWER: Problem 30.14 Part A A series LR circuit consists of a 2.0-H inductor with negligible internal resistance, a 100-ohm resistor, an open switch, and a 9.0-V ideal power source. After the switch is closed, what is the maximum power delivered by the power supply? ANSWER: Problem 30.16 3.6 × 10 -4 J/m 3 7.3 × 10 -5 J/m 3 3.7 × 10 -5 J/m 3 1.2 × 10 -4 J/m 3 The density cannot be determined without knowing the volume. 8.1 W 0.40 W 0.81 W 0.090 W 81 W
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 23/49 Part A A series LR circuit contains an emf source of 12 V having no internal resistance, a resistor, a 43 H inductor having no appreciable resistance, and a switch. If the emf across the inductor is 80% of its maximum value 4 s after the switch is closed, what is the resistance of the resistor? ANSWER: Problem 30.18 Part A An LR circuit contains an ideal 60-V battery, a 51-H inductor having no resistance, a 21- resistor, and a switch , all in series. Initially, the switch is open and has been open for a very long time. At time = 0 s, the switch is suddenly closed. When the voltage across the resistor is equal to the voltage across the inductor, what is the current in the circuit? ANSWER: Problem 30.24 Part A 2 Ω 2.4 Ω 17 Ω 6.3 Ω 1.7 A 0.86 A 0.57 A 1.1 A 1.4 A
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 24/49 A charged capacitor is connected to an ideal inductor to form an LC circuit with a frequency of oscillation = 1.6 Hz. At time = 0 the capacitor is fully charged. At a given instant later the charge on the capacitor is measured to be 3.0 μC and the current in the circuit is equal to 75 μA. What is the maximum charge of the capacitor? ANSWER: Problem 31.06 Part A (a) In an ac circuit, if the peak value of the voltage is 100 V, what is the rms value of the voltage? ANSWER: Part B (b) In an ac circuit, if the rms value of the current is 100 mA, what is the peak value of the current? ANSWER: 4.0 µC 10 µC 8.0 µC 2.0 µC 6.0 µC 141 V 210 V 71 V 120 V 100 V
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 25/49 Problem 31.16 Part A A 120-V rms voltage at 1000 Hz is applied to an inductor, a 2.00-μF capacitor and a 100- resistor, all in series. If the rms value of the current in this circuit is 0.680 A, what is the inductance of the inductor? ANSWER: Problem 31.20 Part A An LRC series circuit consists of an 85.0- resistor, a 14.0-μF capacitor, a 1.50-mH inductor, and a variable frequency ac source of voltage amplitude 13.25 V. At what angular frequency will the inductive reactance be 4.00 times as large as the capacitive reactance? ANSWER: 210 mA 100 mA 120 mA 141 mA 71 mA 22.8 mH 34.2 mH 35.8 mH 11.4 mH 17.9 mH
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 26/49 Problem 31.24 Part A A 120-V rms voltage at 60.0 Hz is applied across an inductor, a capacitor, and a resistor in series. If the peak current in this circuit is 0.8484 A, what is the impedance of this circuit? ANSWER: Problem 31.26 Part A A series circuit has a resistance of 4.0 , a reactance (due to the capacitance) of 21.0 , and a reactance (due to the inductance) of 17.0 . Find the impedance of the circuit. ANSWER: 3.45 × 10 4 rad/s 2.20 × 10 4 rad/s 1.38 × 10 4 rad/s 6.90 × 10 3 rad/s 1.10 × 10 4 rad/s 200 20.4 120 100 141
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 27/49 Problem 31.28 Part A The phase angle of an LRC series circuit with an inductive reactance of 200 , a resistor of 200 and a certain capacitor at 1000 Hz is 40.0°. What is the value of the capacitance in this circuit? ANSWER: Problem 31.34 Part A What is the average power dissipated by a 25- resistor in an LRC series ac circuit for which the power factor is equal to 0.25 and the maximum voltage of the ac source is 8.0 V? ANSWER: 8.0 5.7 42 27 1.95 µF 5.95 µF 3.95 µF 4.95 µF 2.95 µF
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 28/49 Problem 31.39 Part A A series circuit consists of a 50-Hz ac source, a 40- resistor, a 0.30-H inductor, and a 60-μF capacitor. The rms current in the circuit is measured to be 1.6 A. What is the power factor of the circuit? ANSWER: Conceptual Question 32.02 Part A Which one of the following lists is a correct representation of electromagnetic waves from longer wavelength to shorter wavelength? ANSWER: 0.16 W 0.32 W 0.040 W 0.62 W 0.080 W 0.70 0.63 0.59 0.66 0.56
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 29/49 Problem 32.10 Part A The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.724 W/m 2 . What is the maximum value of the magnetic field in the wave? ( , , ) ANSWER: Problem 32.14 Part A If the intensity of an electromagnetic wave is 80 MW/m 2 , what is the amplitude of the magnetic field of this wave? ( , , ) ANSWER: radio waves, microwaves, infrared, visible, UV, X-rays, gamma rays radio waves, UV, X-rays, microwaves, infrared, visible, gamma rays radio waves, microwaves, visible, X-rays, infrared, UV, gamma rays radio waves, infrared, microwaves, UV, visible, X-rays, gamma rays radio waves, infrared, X-rays, microwaves, UV, visible, gamma rays 108 nT 156 nT 77.9 nT 55.1 nT 38.9 nT
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 30/49 Problem 32.18 Part A An electromagnetic wave has a peak electric field of 3.0 kV/m. What is the intensity of the wave? ( , , ) ANSWER: Problem 32.20 Part A An 800-kHz radio signal is detected at a point 8.5 km distant from a transmitter tower. The electric field amplitude of the signal at that point is 0.90 V/m. Assume that the signal power is radiated uniformly in all directions and that radio waves incident upon the ground are completely absorbed. What is the average electromagnetic energy density at that point? ( , , ) ANSWER: 0.58 mT 0.33 µT 0.82 mT 14 T 10 T 12 kW/m 2 4.0 kW/m 2 24 kW/m 2 8.0 kW/m 2
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 31/49 Problem 32.26 Part A A microwave oven operates with sinusoidal microwaves at a frequency of 2400 MHz. The height of the oven cavity is 25 cm and the base measures 30 cm by 30 cm. Assume that microwave energy is generated uniformly on the upper surface of the cavity and propagates directly downward toward the base. The base is lined with a material that completely absorbs microwave energy. The total microwave energy content of the cavity is 0.50 µJ. What is the intensity of the microwave beam? ( , , ) ANSWER: Problem 32.32 Part A The total electromagnetic power emitted by the sun is 3.8 × 10 26 W. What is the radiation pressure on a totally absorbing satellite at the orbit of Mercury, which has an orbital radius of 5.8 × 10 10 m? ( , 5.1 pJ/m 3 3.6 pJ/m 3 14 pJ/m 3 10 pJ/m 3 7.2 pJ/m 3 6.2 kW/m 2 7.2 kW/m 2 5.2 kW/m 2 6.7 kW/m 2 5.7 kW/m 2
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 32/49 , ) ANSWER: Problem 32.34 Part A A radiometer has two square vanes (1.0 cm by 1.0 cm), attached to a light horizontal cross arm, and pivoted about a vertical axis through the center, as shown in the figure. The center of each vane is 6.0 cm from the axis. One vane is silvered and it reflects all radiant energy incident upon it. The other vane is blackened and it absorbs all incident radiant energy. An electromagnetic wave with an intensity of 0.30 kW/m 2 is incident normally upon the vanes. What is the radiation pressure on the blackened vane? ( , , ) ANSWER: Conceptual Question 33.03 300 µPa 30 µPa 3.0 µPa 0.30 µPa 0.030 µPa 1.0 × 10 -7 Pa 1.0 × 10 -8 Pa 1.0 × 10 -6 Pa 1.0 × 10 -10 Pa 1.0 × 10 -9 Pa
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 33/49 Part A A ray of light strikes a boundary between two transparent materials, and there is no transmitted ray, as shown in the figure. What can you conclude about the indices of refraction of these two materials? ANSWER: Problem 33.02 Part A Polarized light passes through a polarizer. If the electric vector of the polarized light is horizontal what, in terms of the initial intensity 0 , is the intensity of the light that passes through a polarizer if the polarizer is tilted 22.5° from the horizontal? ANSWER: 1 = 2 1 2 1 > 2 2 1 2 > 1 0.854 0 0.011 0 0.191 0 0.147 0
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 34/49 Problem 33.07 Part A Light in air is initially traveling parallel to the face AC of an equilateral triangular prism, as shown in the figure. The prism is made of glass with an index of refraction of 1.52. If the light does not strike the face AC , what is the angle between the ray as it leaves the prism at face BC and the normal in air at that face? ANSWER: Problem 33.09 Part A In the figure, a laser positioned on a ship is used to communicate with a small two-man research submarine resting on the bottom of a lake. The laser is positioned 12 m above the surface of the water, and it strikes the water 20 m from the side of the ship. The water is 76 m deep and has an index of refraction of 1.33. How far horizontally is the submarine from the side of the ship? 27° 59° 55° 83° 19°
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 35/49 ANSWER: Problem 33.12 Part A The critical angle in air for a particular type of glass is 39.0°. What is the speed of light in this class glass? ( c = 3.00 × 10 8 m/s) ANSWER: 94.1 m 104 m 74.1 m 64.1 m 84.1 m 1.94 × 10 8 m/s 1.91 × 10 8 m/s 1.97 × 10 8 m/s 2.00 × 10 8 m/s 1.89 × 10 8 m/s
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 36/49 Problem 33.16 Part A A glass plate whose index of refraction is 1.64 is immersed in a liquid. The surface of the glass is inclined at an angle of 38.0° with the vertical. A horizontal ray in the glass is incident on the interface. When the liquid is a certain alcohol, the incident ray arrives at the interface at the critical angle. What is the index of refraction of the alcohol? ANSWER: Problem 33.21 Part A Light consisting of a mixture of red and blue light enters a 40°, 70°, 70° prism along a line parallel to the side opposite the 40° vertex. The index of refraction of the prism material for blue light is 1.530, and for red light it is 1.525. What is the angle between the two emerging beams of light? ANSWER: Problem 33.23 0.990 0.950 0.970 1.01 1.03 0.3° 0.5° 0.7° 0.9° 0.1°
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 37/49 Part A In the figure, the orientation of the transmission axis for each of three polarizing sheets is labeled relative to the vertical direction. A beam of light, polarized in the vertical direction, is incident on the first polarized with an intensity of 1000 W/m 2 . What is the intensity of the beam after it has passed through the three polarizing sheets when , and ? ANSWER: Conceptual Question 34.01 Part A As you walk away from a vertical plane mirror, your image in the mirror ANSWER: 316 W/m 2 563 W/m 2 141 W/m 2 188 W/m 2 433 W/m 2
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 38/49 Conceptual Question 34.07 Part A An object is placed in front of a lens which forms an image of the object. ANSWER: Problem 34.01 Part A How far are you from your image when you stand 0.750 m in front of a vertical plane mirror? ANSWER: changes from being a virtual image to a real image as you pass the focal point. may or may not decrease in height, depending on where the observer is positioned. is always the same height. is always a real image, no matter how far you are from the mirror. decreases in height. If the image is real, then it is also inverted. If the image is real, then it is also upright. If the lens is convex, the image cannot be virtual. If the image is virtual, then it is also inverted. If the image is virtual, the lens must be a diverging lens.
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 39/49 Problem 34.07 Part A An object 4.0 cm in height is placed 13.0 cm in front of a concave spherical mirror with a focal length of 15.0 cm. What is the position of its image in relation to the mirror, and what are the characteristics of the image? ANSWER: Problem 34.13 Part A A fish appears to be 2 m below the surface of a pond when viewed almost directly above by a fisherman. What is the actual depth of the fish? ( n water = 1.33) ANSWER: 0.375 m 1.50 m 3.00 m 0.750 m 18.0 cm on the same side of mirror, virtual, 2.25 times bigger 10.0 cm on the same side of mirror, real, 6.0 times bigger 97.5 cm on the other side of mirror, virtual, 7.5 times bigger 10.0 cm on the other side of mirror, real, 10.0 times bigger 40.0 cm on the other side of mirror, real, 6.0 times bigger
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 40/49 Problem 34.17 Part A In the figure, the image is viewed on a screen and is 13.5 mm tall. What is the focal length of the lens? ANSWER: Problem 34.30 Part A 1.5 m 2.66 m 0.38 m 0.67 m +124 cm -14.6 cm +14.6 cm -89.3 cm +20.4 cm
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 41/49 In the figure, the radius of curvature of the curved part of the lens is 35.0 cm, and the refractive index of the lens material is 1.620. What is the focal length of the lens? ANSWER: Problem 34.33 Part A A lens is made with a focal length of -40 cm using a material with index of refraction 1.50. A second lens is made with the SAME GEOMETRY as the first lens, but using a material having refractive index of 2.00. What is the focal length of the second lens? ANSWER: Problem 35.05 -56.5 cm +21.6 cm +56.5 cm -21.6 cm +28.2 cm -80 cm -53 cm -30 cm -20 cm -40 cm
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 42/49 Part A In a double slit experiment, if the separation between the two slits is 0.050 mm and the distance from the slits to a screen is 2.5 m, find the spacing between the first-order and second-order bright fringes when coherent light of wavelength 600 nm illuminates the slits. ANSWER: Problem 35.09 Part A A double slit illuminated with light of wavelength 588 nm forms a diffraction pattern on a screen 11.0 cm away. The slit separation is 2464 nm. What is the distance between the third and fourth bright fringes away from the central fringe? ANSWER: Problem 35.11 Part A A pair of narrow slits, separated by 1.8 mm, is illuminated by a monochromatic light source. Light waves arrive at the two slits in phase, and a fringe pattern is observed on a screen 4.8 m from the slits. If there are 5.0 complete bright fringes per 3.0 cm 1.5 cm 9.0 cm 4.5 cm 6.0 cm 23.9 cm 2.63 cm 5.96 cm 5.59 cm
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 43/49 centimeter on the screen near the center of the pattern, what is the wavelength of the monochromatic light? ANSWER: Problem 35.15 Part A Coherent monochromatic light of wavelength 632.8 nm passes through a pair of thin parallel slits. The figure shows the central portion of the pattern of bright fringes viewed on a screen 1.40 m beyond the slits. What is the distance between the two slits? ANSWER: Problem 35.21 550 nm 700 nm 650 nm 600 nm 750 nm 0.281 mm 0.0703 mm 0.633 mm 0.562 mm 0.141 mm
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 44/49 Part A Light of frequency 6.00 × 10 14 Hz illuminates a soap film ( = 1.33) having air on both sides of it. When viewing the film by reflected light, what is the minimum thickness of the film that will give an interference maximum when the light is incident normally on it? ( c = 3.00 × 10 8 m/s) ANSWER: Problem 35.23 Part A White light is incident normally on a thin soap film having an index of refraction of 1.34. It reflects with an interference maximum at 684 nm and an interference minimum at 570 nm with no minima between those two values. The film has air on both sides of it. What is the thickness of the soap film? ANSWER: Problem 35.25 94.0 nm 188 nm 279 nm 24.0 nm 376 nm 894 nm 510 nm 766 nm 627 nm 638 nm
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 45/49 Part A Two extremely flat glass plates, 10.0 cm wide, touch at one end but are separated by a thin wire at the other end, forming a wedge. Light with a wavelength of 450 nm shines almost perpendicularly on the glass and forms fringes which are 1.80 mm apart. What is the diameter of the wire? ANSWER: Problem 35.27 Part A A piece of glass has a thin film of gasoline floating on it. A beam of light is shining perpendicular on the film. If the wavelength of light incident on the film is 560 nm and the indices of refraction of gasoline and glass are 1.40 and 1.50, respectively, what is the minimum nonzero thickness of the film to see a bright reflection? ANSWER: Conceptual Question 36.01 Part A 25.0 µm 10.0 µm 17.5 µm 12.5 µm 20.0 µm 400 nm 300 nm 500 nm 100 nm 200 nm
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 46/49 In a single-slit diffraction experiment, the width of the slit through which light passes is reduced. What happens to the width of the central bright fringe? ANSWER: Problem 36.01 Part A A single slit forms a diffraction pattern, with the first minimum at an angle of 40.0° from central maximum, when monochromatic light of 460-nm wavelength is used. The same slit, illuminated by a new monochromatic light source, produces a diffraction pattern with the second minimum at a 60.0° angle from the central maximum. What is the wavelength of this new light? ANSWER: Problem 36.13 Part A A slit of width 2.0 μm is used in a single slit experiment with light of wavelength 650 nm. If the intensity at the central maximum is 0 , what is the intensity 10° from the center? ANSWER: It becomes wider. It becomes narrower. It stays the same. Its behavior depends on the wavelength of the light. 365 nm 310 nm 384 nm 347 nm 328 nm
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 47/49 Problem 36.17 Part A Monochromatic light is incident on a grating that is 75 mm wide and ruled with 50,000 lines. The second-order maximum is seen at 32.5°. What is the wavelength of the incident light? ANSWER: Problem 36.21 Part A A He-Ne laser, which produces light of wavelength 632.8 nm, is used to calibrate a diffraction grating. If the first-order maximum occurs at 20.5° from the central spot, what is the distance between the slits of the grating? ANSWER: 0.50 0 0.030 0 0.53 0 0.35 0 0.43 0 806 nm 202 nm 452 nm 403 nm 605 nm
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 48/49 Problem 36.27 Part A A metallic sheet has a large number of slits, 5.0 mm wide and 20 cm apart, and is used as a diffraction grating for microwaves. A wide parallel beam of microwaves is incident normally on the sheet. What is the smallest microwave frequency for which only the central maximum occurs? ( c = 3.00 × 10 8 m/s) ANSWER: Problem 36.30 Part A A thin beam of laser light of wavelength 514 nm passes through a diffraction grating having 3952 lines/cm. The resulting pattern is viewed on a distant curved screen that can show all bright fringes up to and including ±90.0° from the central spot. If the experiment were performed with all of the apparatus under water (which has an index of refraction of 1.33), what would be the TOTAL number of bright spots that would show up on the screen? ANSWER: 3.62 µm 0.905 µm 4.52 µm 1.81 µm 2.20 µm 0.70 GHz 2.0 GHz 0.50 GHz 1.5 GHz 1.0 GHz
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7/3/22, 7:53 PM Final Review - Comprehensive https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939577 49/49 Problem 36.34 Part A Certain planes of a crystal of halite have a spacing of 0.399 nm. The crystal is irradiated by a beam of x-rays. First order constructive interference occurs when the beam makes an angle of 20° with the planes. What is the wavelength of the x- rays? ANSWER: Score Summary: Your score on this assignment is 0.0%. You received 0 out of a possible total of 100 points, plus 0 points of extra credit. 7 14 13 12 6 0.14 nm 0.27 nm 0.17 nm 0.24 nm 0.21 nm
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