# User:Guy vandegrift/Quizbank/Archive1/Calculus Physics/T4study

## CalcIIT4_Study

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This document contains either a study guide OR pairs of exams taken from the same exam bank
If two exams have the same s-number, then v1 and v2 have the same questions, presented in different (random) order.
Exams with different s-numbers have different questions and may not have the same difficulty.
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At the end of this document
Attribution for the quizzes identifies where the questions were obtained

### CalcIIT4_Study-v1s1

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 ${\displaystyle c^{-2}\oint {\vec {E}}\cdot d{\vec {A}}}$ 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)

#### Key to CalcIIT4_Study-v1s1

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 ${\displaystyle c^{-2}\oint {\vec {E}}\cdot d{\vec {A}}}$ 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)