Question 1

In the figure,a bar magnet moves away from the solenoid.The induced current through the resistor R is

Accepted Answer

A)  from a to b. 
B)  from b to a. 
C)  There is no induced current through the resistor. 
A)  from a to b. 
B)  from b to a. 
C)  There is no induced current through the resistor.

Question 2

A glass plate whose index of refraction is 1.56 is immersed in a liquid.The surface of the glass is inclined at an angle of 42.0° 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?

Accepted Answer

A)  1.04 
B)  1.02 
C)  1.00 
D)  0.984 
E)  1.06 
A)  1.04 
B)  1.02 
C)  1.00 
D)  0.984 
E)  1.06

Question 3

A laser with a power of 1.0 mW has a beam radius of 1.0 mm.What is the peak value of the electric field in that beam? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

Accepted Answer

A)  490 V/m 
B)  840 V/m 
C)  65 V/m 
D)  120 V/m 
E)  22 V/m 
A)  490 V/m 
B)  840 V/m 
C)  65 V/m 
D)  120 V/m 
E)  22 V/m

Question 4

A light beam shines through a thin slit and illuminates a distant screen.The central bright fringe on the screen is 1.00 cm wide,as measured between the dark fringes that border it on either side.Which of the following actions would decrease the width of the central bright fringe? (There may be more than one correct choice.)

Accepted Answer

A)  increase the wavelength of the light 
B)  decrease the wavelength of the light 
C)  increase the width of the slit 
D)  decrease the width of the slit 
E)  put the apparatus all under water 
A)  increase the wavelength of the light 
B)  decrease the wavelength of the light 
C)  increase the width of the slit 
D)  decrease the width of the slit 
E)  put the apparatus all under water

Question 5

A 1000-turn toroidal solenoid has a central radius of 4.2 cm and is carrying a current of 1.7 A.What is the magnitude of the magnetic field inside the solenoid at the central radius? (μ0 = 4π × 10-7 T • m/A)

Accepted Answer

A)  8.1 mT 
B)  51 mT 
C)  16 mT 
D)  81 mT 
E)  zero 
A)  8.1 mT 
B)  51 mT 
C)  16 mT 
D)  81 mT 
E)  zero

Question 6

For the vectors shown in the figure,find the magnitude and direction of   ×  
,assuming that the quantities shown are accurate to two significant figures.

Accepted Answer

A)  26, directed into the plane 
B)  26, directed out of the plane 
C)  31, directed on the plane 
D)  31, directed into the plane 
E)  31, directed out of the plane 
A)  26, directed into the plane 
B)  26, directed out of the plane 
C)  31, directed on the plane 
D)  31, directed into the plane 
E)  31, directed out of the plane

Question 7

The intensity level of a "Super-Silent" power lawn mower at a distance of 1.0 m is 100 dB.You wake up one morning to find that four of your neighbors are all mowing their lawns using identical "Super-Silent" mowers.When they are each 20 m from your open bedroom window,what is the intensity level of the sound in your bedroom? You can neglect any absorption,reflection,or interference of the sound.The lowest detectable intensity is 1.0 × 10-12 W/m2.

Accepted Answer

A)  80 dB 
B)  104 dB 
C)  400 dB 
D)  50 dB 
E)  40 dB 
A)  80 dB 
B)  104 dB 
C)  400 dB 
D)  50 dB 
E)  40 dB

Question 8

A soccer ball is released from rest at the top of a grassy incline.After 8.6 seconds,the ball travels 87 meters and 1.0 s after this,the ball reaches the bottom of the incline.
(a)What was the magnitude of the ball's acceleration,assume it to be constant?
(b)How long was the incline?

Accepted Answer

The answer of A soccer ball is released from rest...

Question 9

A positive point charge Q is fixed on a very large horizontal frictionless tabletop.A second positive point charge q is released from rest near the stationary charge and is free to move.Which statement best describes the motion of q after it is released?

Accepted Answer

A)  Its speed will be greatest just after it is released. 
B)  Its acceleration is zero just after it is released. 
C)  As it moves farther and farther from Q, its acceleration will keep increasing. 
D)  As it moves farther and farther from Q, its speed will decrease. 
E)  As it moves farther and farther from Q, its speed will keep increasing. 
A)  Its speed will be greatest just after it is released. 
B)  Its acceleration is zero just after it is released. 
C)  As it moves farther and farther from Q, its acceleration will keep increasing. 
D)  As it moves farther and farther from Q, its speed will decrease. 
E)  As it moves farther and farther from Q, its speed will keep increasing.

Question 10

A +4.0 μC-point charge and a -4.0-μC point charge are placed as shown in the figure.What is the potential difference,VA - VB,between points A and B? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

Accepted Answer

A)  48 V 
B)  96 V 
C)  0.00 V 
D)  96 kV 
E)  48 kV 
A)  48 V 
B)  96 V 
C)  0.00 V 
D)  96 kV 
E)  48 kV

Question 11

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.If the microwave wavelength is 6.0 cm,what is the largest angle away from the central maximum at which an intensity maximum occurs.

Accepted Answer

A)  64° 
B)  69° 
C)  74° 
D)  79° 
E)  84° 
A)  64° 
B)  69° 
C)  74° 
D)  79° 
E)  84°

Question 12

Two unequal masses M and m (M > m)are connected by a light cord passing over a pulley of negligible mass,as shown in the figure.When released,the system accelerates.Friction is negligible.Which figure below gives the correct free-body force diagrams for the two masses in the moving system?

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 13

Two very long parallel wires in the xy-plane,a distance 2a apart,are parallel to the y-axis and carry equal currents I as shown in the figure.The +z direction points perpendicular to the xy-plane in a right-handed coordinate system.If both currents flow in the +y direction,which one of the graphs shown in the figure below best represents the z component of the net magnetic field,in the xy-plane,as a function of x? (Caution: These graphs are not magnetic field lines.)

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Question 14

A system consists of two very large thermal reservoirs in contact with each other,one at temperature 300°C and the other at temperature 200°C. When 600 J of heat transfers from the 300°C reservoir to the 200°C reservoir,what is the change in entropy of this system?

Accepted Answer

A)  0.221 J/K 
B)  1.00 J/K 
C)  5.00 J/K 
D)  -1.00 J/K 
E)  -2.31 J/K 
A)  0.221 J/K 
B)  1.00 J/K 
C)  5.00 J/K 
D)  -1.00 J/K 
E)  -2.31 J/K

Question 15

A helicopter is flying horizontally with a speed of 444 m/s over a hill that slopes upward with a 2% grade (that is,the "rise" is 2% of the "run").What is the component of the helicopter's velocity perpendicular to the sloping surface of the hill?

Accepted Answer

A)  8.9 m/s 
B)  220 m/s 
C)  435 m/s 
D)  444 m/s 
A)  8.9 m/s 
B)  220 m/s 
C)  435 m/s 
D)  444 m/s

Question 16

In the figure,a uniform ladder 12 meters long rests against a vertical frictionless wall.The ladder weighs 400 N and makes an angle θ of 79° with the floor.A man weighing 790 N climbs slowly up the ladder When he has climbed to a point that is 7.8 m from the base of the ladder,the ladder starts to slip.What is the coefficient of static friction between the floor and the ladder?

Accepted Answer

The answer of In the figure,a uniform ladder 12 meters...

Question 17

Two identical resistors of resistance R = 24 Ω and a variable resistor Rx are connected to an ideal battery of voltage V as shown in the figure. What should be the value of the variable resistance Rx to make the voltage across the two parallel resistors equal to   .

Accepted Answer

A)  4.0 Ω 
B)  24 Ω 
C)  8.0 Ω 
D)  16 Ω 
E)  40 Ω 
A)  4.0 Ω 
B)  24 Ω 
C)  8.0 Ω 
D)  16 Ω 
E)  40 Ω

Question 18

Two point charges,Q1 = -1.0 μC and Q2 = + 4.0 μC,are placed as shown in the figure.
(k = 1/4πε0 = 8.99 × 109 N • m2/C2)The y component of the electric field,at the origin O,is closest to

Accepted Answer

A)  6.0 × 10-3 N/C. 
B)  -6.0 × 10-3 N/C. 
C)  3.8 × 10-3 N/C. 
D)  -3.8 × 10-3 N/C. 
E)  7.1 × 10-3 N/C. 
A)  6.0 × 10-3 N/C. 
B)  -6.0 × 10-3 N/C. 
C)  3.8 × 10-3 N/C. 
D)  -3.8 × 10-3 N/C. 
E)  7.1 × 10-3 N/C.

Question 19

In the figure,a weightlifter's barbell consists of two identical uniform spherical masses each with radius 0.17 m and mass of 50 kg.The weights are connected by a 0.96-m uniform steel rod with a mass of 12 kg.Find the moment of inertia of the barbell about the axis through the center (see figure).

Accepted Answer

The answer of In the figure,a weightlifter's barbell consists of...

Question 20

In the figure,a straight wire carries a steady current I perpendicular to the plane of the page.A bar is in contact with a pair of circular rails,and rotates about the straight wire.The direction of the induced current through the resistor R is

Accepted Answer

A)  from a to b. 
B)  from b to a. 
C)  There is no induced current through the resistor. 
A)  from a to b. 
B)  from b to a. 
C)  There is no induced current through the resistor.

Exam 1: A: Foundations

In the figure,a bar magnet moves away from the solenoid.The induced current through the resistor R is

A laser with a power of 1.0 mW has a beam radius of 1.0 mm.What is the peak value of the electric field in that beam? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

A 1000-turn toroidal solenoid has a central radius of 4.2 cm and is carrying a current of 1.7 A.What is the magnitude of the magnetic field inside the solenoid at the central radius? (μ0 = 4π × 10-7 T • m/A)

For the vectors shown in the figure,find the magnitude and direction of × ,assuming that the quantities shown are accurate to two significant figures.

A soccer ball is released from rest at the top of a grassy incline.After 8.6 seconds,the ball travels 87 meters and 1.0 s after this,the ball reaches the bottom of the incline. (a)What was the magnitude of the ball's acceleration,assume it to be constant? (b)How long was the incline?

A positive point charge Q is fixed on a very large horizontal frictionless tabletop.A second positive point charge q is released from rest near the stationary charge and is free to move.Which statement best describes the motion of q after it is released?

A +4.0 μC-point charge and a -4.0-μC point charge are placed as shown in the figure.What is the potential difference,VA - VB,between points A and B? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

Two unequal masses M and m (M > m)are connected by a light cord passing over a pulley of negligible mass,as shown in the figure.When released,the system accelerates.Friction is negligible.Which figure below gives the correct free-body force diagrams for the two masses in the moving system?

A system consists of two very large thermal reservoirs in contact with each other,one at temperature 300°C and the other at temperature 200°C. When 600 J of heat transfers from the 300°C reservoir to the 200°C reservoir,what is the change in entropy of this system?

A helicopter is flying horizontally with a speed of 444 m/s over a hill that slopes upward with a 2% grade (that is,the "rise" is 2% of the "run").What is the component of the helicopter's velocity perpendicular to the sloping surface of the hill?

Two identical resistors of resistance R = 24 Ω and a variable resistor Rx are connected to an ideal battery of voltage V as shown in the figure. What should be the value of the variable resistance Rx to make the voltage across the two parallel resistors equal to .

Two point charges,Q1 = -1.0 μC and Q2 = + 4.0 μC,are placed as shown in the figure. (k = 1/4πε0 = 8.99 × 109 N • m2/C2)The y component of the electric field,at the origin O,is closest to

In the figure,a weightlifter's barbell consists of two identical uniform spherical masses each with radius 0.17 m and mass of 50 kg.The weights are connected by a 0.96-m uniform steel rod with a mass of 12 kg.Find the moment of inertia of the barbell about the axis through the center (see figure).

In the figure,a straight wire carries a steady current I perpendicular to the plane of the page.A bar is in contact with a pair of circular rails,and rotates about the straight wire.The direction of the induced current through the resistor R is

Foundations

Motion in One Dimension

Acceleration

Momentum

Energy

Principle of Relativity

Interactions

Force

Work

Motion in a Plane

Motion in a Circle

Torque

Gravity

Special Relativity

Periodic Motion

Waves in One Dimension

Waves in Two and Three Dimensions

Fluids

Entropy

Energy Transferred Thermally

Degradation of Energy

Electric Interactions

The Electric Field

Gausss Law

Work and Energy in Electrostatics

Charge Separation and Storage

Magnetic Interactions

Magnetic Fields of Charged Particles in Motion

Changing Magnetic Fields

Changing Electric Fields

Electric Circuits

Electronics

Ray Optics

Wave and Particle Optics

Filters

A laser with a power of 1.0 mW has a beam radius of 1.0 mm.What is the peak value of the electric field in that beam? (c = 3.0 × 10⁸ m/s,μ₀ = 4π × 10^-7 T • m/A,ε₀ = 8.85 × 10^-12 C²/N • m²)

A 1000-turn toroidal solenoid has a central radius of 4.2 cm and is carrying a current of 1.7 A.What is the magnitude of the magnetic field inside the solenoid at the central radius? (μ₀ = 4π × 10^-7 T • m/A)

A +4.0 μC-point charge and a -4.0-μC point charge are placed as shown in the figure.What is the potential difference,V_A - V_B,between points A and B? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

Two identical resistors of resistance R = 24 Ω and a variable resistor R_x are connected to an ideal battery of voltage V as shown in the figure. What should be the value of the variable resistance R_x to make the voltage across the two parallel resistors equal to .

Two point charges,Q₁= -1.0 μC and Q₂= + 4.0 μC,are placed as shown in the figure. (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)The y component of the electric field,at the origin O,is closest to