Question 1

According to the second law of thermodynamics,the entropy of any system always increases.

Accepted Answer

A) True 
 B)False

Question 2

A point charge Q moves on the x-axis in the positive direction with a speed of 370 m/s.A point P is on the y-axis at y = +80 mm.The magnetic field produced at point P,as the charge moves through the origin,is equal to   When the charge is at x = +40 mm,what is the magnitude of the magnetic field at point P? (μ0 = 4π × 10-7 T • m/A)

Accepted Answer

A)  0.57 μT 
B)  0.74 μT 
C)  0.92 μT 
D)  1.1 μT 
E)  1.3 μT 
A)  0.57 μT 
B)  0.74 μT 
C)  0.92 μT 
D)  1.1 μT 
E)  1.3 μT

Question 3

The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.724 W/m2.What is the maximum value of the magnetic field in the wave? (c = 3.0 × 108 m/s,
Μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

Accepted Answer

A)  77.9 nT 
B)  55.1 nT 
C)  38.9 nT 
D)  108 nT 
E)  156 nT 
A)  77.9 nT 
B)  55.1 nT 
C)  38.9 nT 
D)  108 nT 
E)  156 nT

Question 4

What is the sum of 1123 and 10.3 written with the correct number of significant figures?

Accepted Answer

A)  1.13 × 103 
B)  1133.3000 
C)  1.1 × 103 
D)  1133.3 
E)  1133 
A)  1.13 × 103 
B)  1133.3000 
C)  1.1 × 103 
D)  1133.3 
E)  1133

Question 5

What is the torque about the origin on a particle located at

= 3 m  
+ 4 m  
- 2 m  
If a force  
= 5 N  
- 2 N  
+ 3 N  
Acts on the particle?

Accepted Answer

A)  (8   +
  - 26
  ) N • m 
B)  (8   - 19
  - 26
  ) N • m 
C)  (8   + 2
  +
  ) N • m 
D)  (16   - 19
  - 26
  ) N • m 
E)  (8   - 2
  +
  ) N • m 
A)  (8   +
  - 26
  ) N • m 
B)  (8   - 19
  - 26
  ) N • m 
C)  (8   + 2
  +
  ) N • m 
D)  (16   - 19
  - 26
  ) N • m 
E)  (8   - 2
  +
  ) N • m

Question 6

An electromagnetic wave is propagating towards the west.At a certain moment the direction of the magnetic field vector associated with this wave points vertically up.The direction of the electric field vector of this wave is

Accepted Answer

A)  horizontal and pointing south. 
B)  vertical and pointing down. 
C)  horizontal and pointing north. 
D)  vertical and pointing up. 
E)  horizontal and pointing east. 
A)  horizontal and pointing south. 
B)  vertical and pointing down. 
C)  horizontal and pointing north. 
D)  vertical and pointing up. 
E)  horizontal and pointing east.

Question 7

In the figure,charge q1 = 3.1 × 10-6 C is placed at the origin and charge q2 = -8.7 × 10-6 C is placed on the x-axis,at x = -0.20 m.Where along the x-axis can a third charge Q = -8.3 µC be placed such that the resultant force on this third charge is zero?

Accepted Answer

Question 8

A uniform solid sphere is rolling without slipping along a horizontal surface with a speed of 5.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal.What is the speed of the sphere after it has rolled 3.00 m up the ramp,measured along the surface of the ramp?

Accepted Answer

A)  4.01 m/s 
B)  8.02 m/s 
C)  1.91 m/s 
D)  2.16 m/s 
E)  3.53 m/s 
A)  4.01 m/s 
B)  8.02 m/s 
C)  1.91 m/s 
D)  2.16 m/s 
E)  3.53 m/s

Question 9

In a double-slit experiment,the slit separation is 2.0 mm,and two wavelengths,750 nm and 900 nm,illuminate the slits simultaneously. A screen is placed 2.0 m from the slits. At what distance from the central maximum on the screen will a bright fringe from one pattern first coincide with a bright fringe from the other?

Accepted Answer

A)  1.5 mm 
B)  3.0 mm 
C)  4.5 mm 
D)  6.0 mm 
E)  9.0 mm 
A)  1.5 mm 
B)  3.0 mm 
C)  4.5 mm 
D)  6.0 mm 
E)  9.0 mm

Question 10

A test rocket is fired straight up from rest with a net acceleration of 20.0 m/s2.After 4.00 seconds the motor turns off,but the rocket continues to coast upward with no appreciable air resistance.What maximum elevation does the rocket reach?

Accepted Answer

A)  487 m 
B)  327 m 
C)  320 m 
D)  408 m 
E)  160 m 
A)  487 m 
B)  327 m 
C)  320 m 
D)  408 m 
E)  160 m

Question 11

A 2.00-m rod of negligible mass connects two very small objects at its ends. The mass of one object is 1.00 kg and the mass of the other is unknown. The center of mass of this system is on the rod a distance 1.60 m from the 1.00-kg mass object. What is the mass of the other object?

Accepted Answer

A)  4.11 kg 
B)  3.22 kg 
C)  4.00 kg 
D)  0.250 kg 
E)  0.800 kg 
A)  4.11 kg 
B)  3.22 kg 
C)  4.00 kg 
D)  0.250 kg 
E)  0.800 kg

Question 12

When a metal surface is illuminated with light of wavelength 437 nm,the stopping potential for photoelectrons is 1.67 V.(c = 3.00 × 108 m/s,h = 6.626 × 10-34 J • s,e = - 1.60 × 10-19 C,1 eV = 1.60 × 10-19 J,mel = 9.11 × 10-31 kg)
(a)What is the work function of the metal,in eV?
(b)What is the maximum speed of the ejected electrons?

Accepted Answer

(a)1.17 eV

Question 13

An astronomical telescope has an objective of diameter 20 cm with a focal length of 180 cm.The telescope is used with an eyepiece of focal length 30 mm.What is the angular magnification of this telescope?

Accepted Answer

A)  360 x 
B)  60 x 
C)  540 x 
D)  6 x 
E)  180 x 
A)  360 x 
B)  60 x 
C)  540 x 
D)  6 x 
E)  180 x

Question 14

A straight 15.0-g wire that is 2.00 m long carries a current of 8.00 A.This wire is aligned horizontally along the west-east direction with the current going from west to east.You want to support the wire against gravity using the weakest possible uniform external magnetic field.
(a)Which way should the magnetic field point?
(b)What is the magnitude of the weakest possible magnetic field you could use?

Accepted Answer

(a)from so

Question 15

Two objects have masses m and 5m,respectively.They both are placed side by side on a frictionless inclined plane and allowed to slide down from rest.

Accepted Answer

A)  It takes the lighter object 5 times longer to reach the bottom of the incline than the heavier object. 
B)  It takes the lighter object 10 times longer to reach the bottom of the incline than the heavier object. 
C)  It takes the heavier object 5 times longer to reach the bottom of the incline than the lighter object. 
D)  It takes the heavier object 10 times longer to reach the bottom of the incline than the lighter object. 
E)  The two objects reach the bottom of the incline at the same time. 
A)  It takes the lighter object 5 times longer to reach the bottom of the incline than the heavier object. 
B)  It takes the lighter object 10 times longer to reach the bottom of the incline than the heavier object. 
C)  It takes the heavier object 5 times longer to reach the bottom of the incline than the lighter object. 
D)  It takes the heavier object 10 times longer to reach the bottom of the incline than the lighter object. 
E)  The two objects reach the bottom of the incline at the same time.

Question 16

A cylindrical capacitor is made of two thin-walled concentric cylinders.The inner cylinder has radius r1 = 4.0 mm,and the outer one a radius r2 = 8.0 mm.The common length of the cylinders is L = 150 m. What is the potential energy stored in this capacitor when a potential difference 4.0 V is applied between the inner and outer cylinder? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

Accepted Answer

A)  9.6 × 10-8 J 
B)  1.3 × 10-8 J 
C)  6.3 × 10-8 J 
D)  0.34 × 10-8 J 
E)  4.6 × 10-8 J 
A)  9.6 × 10-8 J 
B)  1.3 × 10-8 J 
C)  6.3 × 10-8 J 
D)  0.34 × 10-8 J 
E)  4.6 × 10-8 J

Question 17

A point charge Q = -500 nC and two unknown point charges,q1 and q2,are placed as shown in the figure.The electric field at the origin O,due to charges Q,q1 and q2,is equal to zero.The charge q1 is closest to

Accepted Answer

A)  130 nC. 
B)  76 nC. 
C)  150 nC. 
D)  -76 nC. 
E)  -130 nC. 
A)  130 nC. 
B)  76 nC. 
C)  150 nC. 
D)  -76 nC. 
E)  -130 nC.

Question 18

Two boys searching for buried treasure are standing underneath the same tree.One boy walks 18 m east and then 18 m north. The other boy walks 16 m west and then 11 m north. Find the scalar product of their net displacements from the tree.

Accepted Answer

The answer of Two boys searching for buried treasure are...

Question 19

In a diffraction grating experiment,light of 600 nm wavelength produces a first-order maximum 0.350 mm from the central maximum on a distant screen. A second monochromatic source produces a third-order maximum 0.870 mm from the central maximum when it passes through the same diffraction grating. What is the wavelength of the light from the second source?

Accepted Answer

A)  479 nm 
B)  497 nm 
C)  567 nm 
D)  749 nm 
E)  794 nm 
A)  479 nm 
B)  497 nm 
C)  567 nm 
D)  749 nm 
E)  794 nm

Question 20

What is the angular separation of the two second-order spectral lines having wavelengths 417 nm and 388 nm using a diffraction grating having 456 lines/mm?

Accepted Answer

A)  1.63° 
B)  1.52° 
C)  0.815° 
D)  3.26° 
A)  1.63° 
B)  1.52° 
C)  0.815° 
D)  3.26°

Exam 1: A: Foundations

According to the second law of thermodynamics,the entropy of any system always increases.

The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.724 W/m2.What is the maximum value of the magnetic field in the wave? (c = 3.0 × 108 m/s, Μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

What is the sum of 1123 and 10.3 written with the correct number of significant figures?

What is the torque about the origin on a particle located at = 3 m + 4 m - 2 m If a force = 5 N - 2 N + 3 N Acts on the particle?

An electromagnetic wave is propagating towards the west.At a certain moment the direction of the magnetic field vector associated with this wave points vertically up.The direction of the electric field vector of this wave is

In the figure,charge q1 = 3.1 × 10-6 C is placed at the origin and charge q2 = -8.7 × 10-6 C is placed on the x-axis,at x = -0.20 m.Where along the x-axis can a third charge Q = -8.3 µC be placed such that the resultant force on this third charge is zero?

A uniform solid sphere is rolling without slipping along a horizontal surface with a speed of 5.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal.What is the speed of the sphere after it has rolled 3.00 m up the ramp,measured along the surface of the ramp?

A test rocket is fired straight up from rest with a net acceleration of 20.0 m/s2.After 4.00 seconds the motor turns off,but the rocket continues to coast upward with no appreciable air resistance.What maximum elevation does the rocket reach?

A 2.00-m rod of negligible mass connects two very small objects at its ends. The mass of one object is 1.00 kg and the mass of the other is unknown. The center of mass of this system is on the rod a distance 1.60 m from the 1.00-kg mass object. What is the mass of the other object?

An astronomical telescope has an objective of diameter 20 cm with a focal length of 180 cm.The telescope is used with an eyepiece of focal length 30 mm.What is the angular magnification of this telescope?

Two objects have masses m and 5m,respectively.They both are placed side by side on a frictionless inclined plane and allowed to slide down from rest.

A point charge Q = -500 nC and two unknown point charges,q1 and q2,are placed as shown in the figure.The electric field at the origin O,due to charges Q,q1 and q2,is equal to zero.The charge q1 is closest to

Two boys searching for buried treasure are standing underneath the same tree.One boy walks 18 m east and then 18 m north. The other boy walks 16 m west and then 11 m north. Find the scalar product of their net displacements from the tree.

What is the angular separation of the two second-order spectral lines having wavelengths 417 nm and 388 nm using a diffraction grating having 456 lines/mm?

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

The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.724 W/m².What is the maximum value of the magnetic field in the wave? (c = 3.0 × 10⁸ m/s, Μ₀ = 4π × 10^-7 T • m/A,ε₀ = 8.85 × 10^-12 C²/N • m²)

In the figure,charge q₁ = 3.1 × 10^-6 C is placed at the origin and charge q₂ = -8.7 × 10^-6 C is placed on the x-axis,at x = -0.20 m.Where along the x-axis can a third charge Q = -8.3 µC be placed such that the resultant force on this third charge is zero?

A test rocket is fired straight up from rest with a net acceleration of 20.0 m/s².After 4.00 seconds the motor turns off,but the rocket continues to coast upward with no appreciable air resistance.What maximum elevation does the rocket reach?

A point charge Q = -500 nC and two unknown point charges,q₁ and q₂,are placed as shown in the figure.The electric field at the origin O,due to charges Q,q₁ and q₂,is equal to zero.The charge q₁ is closest to