Quizbank/Calculus Physics/T4study

1. Two orbiting satellites are orbiting at a speed of 52 km/s perpendicular to a magnetic field of 41 μT. They are connected by a cable that is 33 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

___a) 4.79 x 10⁴ volts.

___b) 5.81 x 10⁴ volts.

___c) 7.04 x 10⁴ volts.

___d) 8.52 x 10⁴ volts.

___e) 1.03 x 10⁵ volts.

2. An loop of wire with 43 turns has a radius of 0.27 meters, and is oriented with its axis parallel to a magetic field of 0.68 Tesla. What is the induced voltage if this field is reduced to 36% of its original value in 3.8 seconds?

___a) 6.34 x 10^-1 volts

___b) 7.68 x 10^-1 volts

___c) 9.31 x 10^-1 volts

___d) 1.13 x 10⁰ volts

___e) 1.37 x 10⁰ volts

3. A circlular capactitor of radius 4.2 m has a gap of 12 mm, and a charge of 94 μC. What is the electric field between the plates?

___a) 1.92E+05 N/C (or V/m)

___b) 2.32E+05 N/C (or V/m)

___c) 2.81E+05 N/C (or V/m)

___d) 3.41E+05 N/C (or V/m)

___e) 4.13E+05 N/C (or V/m)

4. A circlular capactitor of radius 4.1 m has a gap of 8 mm, and a charge of 24 μC. Compute the surface integral over an inner face of the capacitor.

___a) 2.05E-11 Vs²m^-1

___b) 2.49E-11 Vs²m^-1

___c) 3.02E-11 Vs²m^-1

___d) 3.65E-11 Vs²m^-1

___e) 4.43E-11 Vs²m^-1

5. A circlular capactitor of radius 4.7 m has a gap of 19 mm, and a charge of 27 μC. The capacitor is discharged through a 6 kΩ resistor. What is the decay time?

___a) 1.60E-04 s

___b) 1.94E-04 s

___c) 2.35E-04 s

___d) 2.85E-04 s

___e) 3.45E-04 s

6. A circlular capactitor of radius 3.1 m has a gap of 9 mm, and a charge of 85 μC. The capacitor is discharged through a 5 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

___a) 2.33E-08 Tesla

___b) 2.93E-08 Tesla

___c) 3.69E-08 Tesla

___d) 4.65E-08 Tesla

___e) 5.85E-08 Tesla

7.

Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates

___ a) how a nearsighted person might see a distant object

___ b) how a farsighted person might see an object that is too close for comfort

___ c) how a farsighted person might see a distant object

___ d) how a nearsighted person might see an object that is too close for comfort

8.

Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates

___ a) how a farsighted person might see an object that is too close for comfort

___ b) how a nearsighted person might see a distant object

___ c) how a farsighted person might see a distant object

___ d) how a nearsighted person might see an object that is too close for comfort

9. In optics, normal means

___ a) to the right of the optical axis

___ b) perpendicular to the surface

___ c) to the left of the optical axis

___ d) parallel to the surface

10. The law of reflection applies to

___ a) flat surfaces

___ b) telescopes but not microscopes

___ c) curved surfaces

___ d) both flat and curved surfaces

___ e) only light in a vacuum

11. When light passes from air to glass

___ a) it bends towards the normal

___ b) the frequency increases

___ c) it does not bend

___ d) the frequency decreases

___ e) it bends away from the normal

12. When light passes from glass to air

___ a) it bends towards the normal

___ b) it does not bend

___ c) the frequency increases

___ d) the frequency decreases

___ e) it bends away from the normal

13. An important principle that allows fiber optics to work is

___ a) the invariance of the speed of light

___ b) total external refraction

___ c) partial internal absorption

___ d) the Doppler shift

___ e) total internal reflection

14. The focal point is where

___ a) rays meet whenever they are forming an image

___ b) the center of the lens

___ c) rays meet if they were parallel to the optical axis before striking a lens

___ d) rays meet whenever they pass through a lens

___ e) rays meet if they are parallel to each other

15. An object is placed 6.3 cm to the left of a diverging lens with a focal length of 8.9 cm. How far is the image from the lens?

___a) 1.17 x 10⁰ cm

___b) 2.07 x 10⁰ cm

___c) 3.69 x 10⁰ cm

___d) 6.56 x 10⁰ cm

___e) 1.17 x 10¹ cm

16. An object is placed 4.15 cm to the left of a converging lens with a focal length of 3.6 cm. How far is the image from the lens?

___a) 8.59 x 10⁰ cm

___b) 1.53 x 10¹ cm

___c) 2.72 x 10¹ cm

___d) 4.83 x 10¹ cm

___e) 8.59 x 10¹ cm

17. An object of height 0.75 cm is placed 147 cm behind a diverging lens with a focal length of 86 cm. What is the height of the image?

___a) 2.77 x 10^-1 cm

___b) 3.32 x 10^-1 cm

___c) 3.99 x 10^-1 cm

___d) 4.78 x 10^-1 cm

___e) 5.74 x 10^-1 cm

18. An object is placed 13.7 cm to the left of a diverging lens with a focal length of 17.7 cm. On the side, at a distance of 5.5 cm from the diverging lens is a converging lens with focal length equal to 4 cm. How far is the final image from the converging lens?

___a) 5.73 x 10^-2 cm

___b) 1.81 x 10^-1 cm

___c) 5.73 x 10^-1 cm

___d) 1.81 x 10⁰ cm

___e) 5.73 x 10⁰ cm

19. Which lens has the shorter focal length?

___ a) They have the same focal lengh.

___ b)

___ c)

20. If this represents the eye looking at an object, where is this object?

___ a) at infinity

___ b) very far away

___ c) One focal length in front of the eye

___ d) directly in front of the eye (almost touching)

___ e) Two (of the other answers) are true

21. After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.

___ a) true

___ b) false

22. Mr. Smith is gazing at something as shown in the figure to the left. Suppose he does not refocus, but attempts to stare at the star shown in the figures below. Which diagram depicts how the rays from the star would travel if he does not refocus?

___ a)

___ b)

___ c)

1. Two orbiting satellites are orbiting at a speed of 52 km/s perpendicular to a magnetic field of 41 μT. They are connected by a cable that is 33 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

-a) 4.79 x 10⁴ volts.

-b) 5.81 x 10⁴ volts.

+c) 7.04 x 10⁴ volts.

-d) 8.52 x 10⁴ volts.

-e) 1.03 x 10⁵ volts.

2. An loop of wire with 43 turns has a radius of 0.27 meters, and is oriented with its axis parallel to a magetic field of 0.68 Tesla. What is the induced voltage if this field is reduced to 36% of its original value in 3.8 seconds?

-a) 6.34 x 10^-1 volts

-b) 7.68 x 10^-1 volts

-c) 9.31 x 10^-1 volts

+d) 1.13 x 10⁰ volts

-e) 1.37 x 10⁰ volts

3. A circlular capactitor of radius 4.2 m has a gap of 12 mm, and a charge of 94 μC. What is the electric field between the plates?

+a) 1.92E+05 N/C (or V/m)

-b) 2.32E+05 N/C (or V/m)

-c) 2.81E+05 N/C (or V/m)

-d) 3.41E+05 N/C (or V/m)

-e) 4.13E+05 N/C (or V/m)

4. A circlular capactitor of radius 4.1 m has a gap of 8 mm, and a charge of 24 μC. Compute the surface integral over an inner face of the capacitor.

-a) 2.05E-11 Vs²m^-1

-b) 2.49E-11 Vs²m^-1

+c) 3.02E-11 Vs²m^-1

-d) 3.65E-11 Vs²m^-1

-e) 4.43E-11 Vs²m^-1

5. A circlular capactitor of radius 4.7 m has a gap of 19 mm, and a charge of 27 μC. The capacitor is discharged through a 6 kΩ resistor. What is the decay time?

-a) 1.60E-04 s

+b) 1.94E-04 s

-c) 2.35E-04 s

-d) 2.85E-04 s

-e) 3.45E-04 s

6. A circlular capactitor of radius 3.1 m has a gap of 9 mm, and a charge of 85 μC. The capacitor is discharged through a 5 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

-a) 2.33E-08 Tesla

-b) 2.93E-08 Tesla

+c) 3.69E-08 Tesla

-d) 4.65E-08 Tesla

-e) 5.85E-08 Tesla

7.

Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates

+ a) how a nearsighted person might see a distant object

- b) how a farsighted person might see an object that is too close for comfort

- c) how a farsighted person might see a distant object

- d) how a nearsighted person might see an object that is too close for comfort

8.

Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates

+ a) how a farsighted person might see an object that is too close for comfort

- b) how a nearsighted person might see a distant object

- c) how a farsighted person might see a distant object

- d) how a nearsighted person might see an object that is too close for comfort

9. In optics, normal means

- a) to the right of the optical axis

+ b) perpendicular to the surface

- c) to the left of the optical axis

- d) parallel to the surface

10. The law of reflection applies to

- a) flat surfaces

- b) telescopes but not microscopes

- c) curved surfaces

+ d) both flat and curved surfaces

- e) only light in a vacuum

11. When light passes from air to glass

+ a) it bends towards the normal

- b) the frequency increases

- c) it does not bend

- d) the frequency decreases

- e) it bends away from the normal

12. When light passes from glass to air

- a) it bends towards the normal

- b) it does not bend

- c) the frequency increases

- d) the frequency decreases

+ e) it bends away from the normal

13. An important principle that allows fiber optics to work is

- a) the invariance of the speed of light

- b) total external refraction

- c) partial internal absorption

- d) the Doppler shift

+ e) total internal reflection

14. The focal point is where

- a) rays meet whenever they are forming an image

- b) the center of the lens

+ c) rays meet if they were parallel to the optical axis before striking a lens

- d) rays meet whenever they pass through a lens

- e) rays meet if they are parallel to each other

15. An object is placed 6.3 cm to the left of a diverging lens with a focal length of 8.9 cm. How far is the image from the lens?

-a) 1.17 x 10⁰ cm

-b) 2.07 x 10⁰ cm

+c) 3.69 x 10⁰ cm

-d) 6.56 x 10⁰ cm

-e) 1.17 x 10¹ cm

16. An object is placed 4.15 cm to the left of a converging lens with a focal length of 3.6 cm. How far is the image from the lens?

-a) 8.59 x 10⁰ cm

-b) 1.53 x 10¹ cm

+c) 2.72 x 10¹ cm

-d) 4.83 x 10¹ cm

-e) 8.59 x 10¹ cm

17. An object of height 0.75 cm is placed 147 cm behind a diverging lens with a focal length of 86 cm. What is the height of the image?

+a) 2.77 x 10^-1 cm

-b) 3.32 x 10^-1 cm

-c) 3.99 x 10^-1 cm

-d) 4.78 x 10^-1 cm

-e) 5.74 x 10^-1 cm

18. An object is placed 13.7 cm to the left of a diverging lens with a focal length of 17.7 cm. On the side, at a distance of 5.5 cm from the diverging lens is a converging lens with focal length equal to 4 cm. How far is the final image from the converging lens?

-a) 5.73 x 10^-2 cm

-b) 1.81 x 10^-1 cm

-c) 5.73 x 10^-1 cm

-d) 1.81 x 10⁰ cm

+e) 5.73 x 10⁰ cm

19. Which lens has the shorter focal length?

- a) They have the same focal lengh.

+ b)

- c)

20. If this represents the eye looking at an object, where is this object?

- a) at infinity

- b) very far away

- c) One focal length in front of the eye

- d) directly in front of the eye (almost touching)

+ e) Two (of the other answers) are true

21. After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.

- a) true

+ b) false

22. Mr. Smith is gazing at something as shown in the figure to the left. Suppose he does not refocus, but attempts to stare at the star shown in the figures below. Which diagram depicts how the rays from the star would travel if he does not refocus?

+ a)

- b)

- c)