The change you see when you gradually move the light source towards the central mirror, through a distance λ / 2 .

Question

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Answer 1

Question

Chapter 37, Problem 1OQ

(a)

To determine

The change you see when you gradually move the light source towards the central mirror, through a distance λ/2.

(a)

Expert Solution

Answer to Problem 1OQ

Option (a), There is no change in the pattern.

Explanation of Solution

If the mirrors are not moved, the character of the interference system remains the same. This ensures no change in the pattern of the interference.

Conclusion:

Since there is no change in the pattern, option (a) is the correct answer.

Since the dark circle change into bright circle, option (b) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle, option (c) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle and then into bright circle, option (d) is incorrect.

(b)

To determine

The change you see when you gradually move the movable mirror towards the central mirror, through a distance λ/2.

(b)

Expert Solution

Answer to Problem 1OQ

Option (c), The dark circle changes into a bright circle and then back into a dark circle.

Explanation of Solution

The mirrors are moved, so the character of the interference system will change. This ensures change in the pattern of the interference. The initial dark circle is due to the destructive interference pattern out of phase by 180°.

The mirror is moved by λ/2 which changes the path difference by 2(λ/2)=λ. This makes the waves to go in phase and out of phase to the original state.

Conclusion:

Since there is no change in the pattern, option (a) is the incorrect answer.

Since the dark circle changes into bright circle, option (b) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle, option (c) is correct.

Since the dark circle changes into bright circle and then back into dark circle and then into bright circle, option (d) is incorrect.

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Students have asked these similar questions

In a Michelson interferometer, a laser beam is split into two beams as shown in the figure. When the two beams are combined, an interference pattern is seen on the observation screen. The interference pattern is a series of concentric bright circles separated by dark ones as shown in the figure. At the center of the pattern is a bright circular spot. Suppose the movable mirror is slowly moved toward the beam splitter by distance 1/2. As this is done, what happens to the interference pattern? a) There is no change in the interference pattern. b) The interference pattern becomes brighter, but otherwise remains the same. c) The central bright spot turns into a dark spot (B → D). d) The central bright spot turns into a dark spot and then back into a bright spot (B → D → B). e) The central bright spot turns into a dark spot, then into a bright spot, and then back into a dark spot (B → D → B → D). Fixed Mirror Beam Splitter Movable LASER Mirror a Observation Screen

A Michelson interferometer is used with red light of wavelength 632.8 nm and is adjusted for a path difference of 20 μm. Determine the angular radius of the a) first (smallest diameter) ring observed and b) the tenth ring observed.

The Michelson interferometer can be used to measure the index of refraction of a gas by placing an evacuated transparent tube in the light path along one arm of the device. Fringe shifts occur as the gas is slowly added to the tube. Assume 600.-nm light is used, the tube is 5.00 cm long, and 160 fringe shifts occur as the pressure of the gas in the tube increases to atmospheric pressure. What is the index of refraction of the gas? Hint: The fringe shifts occur because the wavelength of the light changes inside the gas-filled tube.

Answer 2

Question

Chapter 37, Problem 1OQ

(a)

To determine

The change you see when you gradually move the light source towards the central mirror, through a distance λ/2.

(a)

Expert Solution

Answer to Problem 1OQ

Option (a), There is no change in the pattern.

Explanation of Solution

If the mirrors are not moved, the character of the interference system remains the same. This ensures no change in the pattern of the interference.

Conclusion:

Since there is no change in the pattern, option (a) is the correct answer.

Since the dark circle change into bright circle, option (b) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle, option (c) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle and then into bright circle, option (d) is incorrect.

(b)

To determine

The change you see when you gradually move the movable mirror towards the central mirror, through a distance λ/2.

(b)

Expert Solution

Answer to Problem 1OQ

Option (c), The dark circle changes into a bright circle and then back into a dark circle.

Explanation of Solution

The mirrors are moved, so the character of the interference system will change. This ensures change in the pattern of the interference. The initial dark circle is due to the destructive interference pattern out of phase by 180°.

The mirror is moved by λ/2 which changes the path difference by 2(λ/2)=λ. This makes the waves to go in phase and out of phase to the original state.

Conclusion:

Since there is no change in the pattern, option (a) is the incorrect answer.

Since the dark circle changes into bright circle, option (b) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle, option (c) is correct.

Since the dark circle changes into bright circle and then back into dark circle and then into bright circle, option (d) is incorrect.

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Answer 3

Question

Chapter 37, Problem 1OQ

(a)

To determine

The change you see when you gradually move the light source towards the central mirror, through a distance λ/2.

(a)

Expert Solution

Answer to Problem 1OQ

Option (a), There is no change in the pattern.

Explanation of Solution

If the mirrors are not moved, the character of the interference system remains the same. This ensures no change in the pattern of the interference.

Conclusion:

Since there is no change in the pattern, option (a) is the correct answer.

Since the dark circle change into bright circle, option (b) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle, option (c) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle and then into bright circle, option (d) is incorrect.

(b)

To determine

The change you see when you gradually move the movable mirror towards the central mirror, through a distance λ/2.

(b)

Expert Solution

Answer to Problem 1OQ

Option (c), The dark circle changes into a bright circle and then back into a dark circle.

Explanation of Solution

The mirrors are moved, so the character of the interference system will change. This ensures change in the pattern of the interference. The initial dark circle is due to the destructive interference pattern out of phase by 180°.

The mirror is moved by λ/2 which changes the path difference by 2(λ/2)=λ. This makes the waves to go in phase and out of phase to the original state.

Conclusion:

Since there is no change in the pattern, option (a) is the incorrect answer.

Since the dark circle changes into bright circle, option (b) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle, option (c) is correct.

Since the dark circle changes into bright circle and then back into dark circle and then into bright circle, option (d) is incorrect.

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Answer 4

Question

Chapter 37, Problem 1OQ

(a)

To determine

The change you see when you gradually move the light source towards the central mirror, through a distance λ/2.

(a)

Expert Solution

Answer to Problem 1OQ

Option (a), There is no change in the pattern.

Explanation of Solution

If the mirrors are not moved, the character of the interference system remains the same. This ensures no change in the pattern of the interference.

Conclusion:

Since there is no change in the pattern, option (a) is the correct answer.

Since the dark circle change into bright circle, option (b) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle, option (c) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle and then into bright circle, option (d) is incorrect.

(b)

To determine

The change you see when you gradually move the movable mirror towards the central mirror, through a distance λ/2.

(b)

Expert Solution

Answer to Problem 1OQ

Option (c), The dark circle changes into a bright circle and then back into a dark circle.

Explanation of Solution

The mirrors are moved, so the character of the interference system will change. This ensures change in the pattern of the interference. The initial dark circle is due to the destructive interference pattern out of phase by 180°.

The mirror is moved by λ/2 which changes the path difference by 2(λ/2)=λ. This makes the waves to go in phase and out of phase to the original state.

Conclusion:

Since there is no change in the pattern, option (a) is the incorrect answer.

Since the dark circle changes into bright circle, option (b) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle, option (c) is correct.

Since the dark circle changes into bright circle and then back into dark circle and then into bright circle, option (d) is incorrect.

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Answer 5

Chapter 37, Problem 1OQ

(a)

To determine

The change you see when you gradually move the light source towards the central mirror, through a distance λ/2.

(a)

Expert Solution

Answer to Problem 1OQ

Option (a), There is no change in the pattern.

Explanation of Solution

If the mirrors are not moved, the character of the interference system remains the same. This ensures no change in the pattern of the interference.

Conclusion:

Since there is no change in the pattern, option (a) is the correct answer.

Since the dark circle change into bright circle, option (b) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle, option (c) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle and then into bright circle, option (d) is incorrect.

(b)

To determine

The change you see when you gradually move the movable mirror towards the central mirror, through a distance λ/2.

(b)

Expert Solution

Answer to Problem 1OQ

Option (c), The dark circle changes into a bright circle and then back into a dark circle.

Explanation of Solution

The mirrors are moved, so the character of the interference system will change. This ensures change in the pattern of the interference. The initial dark circle is due to the destructive interference pattern out of phase by 180°.

The mirror is moved by λ/2 which changes the path difference by 2(λ/2)=λ. This makes the waves to go in phase and out of phase to the original state.

Conclusion:

Since there is no change in the pattern, option (a) is the incorrect answer.

Since the dark circle changes into bright circle, option (b) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle, option (c) is correct.

Since the dark circle changes into bright circle and then back into dark circle and then into bright circle, option (d) is incorrect.

Answer 6

Chapter 37, Problem 1OQ

(a)

To determine

The change you see when you gradually move the light source towards the central mirror, through a distance λ/2.

(a)

Expert Solution

Answer to Problem 1OQ

Option (a), There is no change in the pattern.

Explanation of Solution

If the mirrors are not moved, the character of the interference system remains the same. This ensures no change in the pattern of the interference.

Conclusion:

Since there is no change in the pattern, option (a) is the correct answer.

Since the dark circle change into bright circle, option (b) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle, option (c) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle and then into bright circle, option (d) is incorrect.

Answer 7

Chapter 37, Problem 1OQ

(a)

To determine

The change you see when you gradually move the light source towards the central mirror, through a distance λ/2.

Answer 8

(a)

Expert Solution

Answer to Problem 1OQ

Option (a), There is no change in the pattern.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

If the mirrors are not moved, the character of the interference system remains the same. This ensures no change in the pattern of the interference.

Conclusion:

Since there is no change in the pattern, option (a) is the correct answer.

Since the dark circle change into bright circle, option (b) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle, option (c) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle and then into bright circle, option (d) is incorrect.

Answer 13

(b)

To determine

The change you see when you gradually move the movable mirror towards the central mirror, through a distance λ/2.

(b)

Expert Solution

Answer to Problem 1OQ

Option (c), The dark circle changes into a bright circle and then back into a dark circle.

Explanation of Solution

The mirrors are moved, so the character of the interference system will change. This ensures change in the pattern of the interference. The initial dark circle is due to the destructive interference pattern out of phase by 180°.

The mirror is moved by λ/2 which changes the path difference by 2(λ/2)=λ. This makes the waves to go in phase and out of phase to the original state.

Conclusion:

Since there is no change in the pattern, option (a) is the incorrect answer.

Since the dark circle changes into bright circle, option (b) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle, option (c) is correct.

Since the dark circle changes into bright circle and then back into dark circle and then into bright circle, option (d) is incorrect.

Answer 14

(b)

To determine

The change you see when you gradually move the movable mirror towards the central mirror, through a distance λ/2.

Answer 15

(b)

Expert Solution

Answer to Problem 1OQ

Option (c), The dark circle changes into a bright circle and then back into a dark circle.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The mirrors are moved, so the character of the interference system will change. This ensures change in the pattern of the interference. The initial dark circle is due to the destructive interference pattern out of phase by 180°.

The mirror is moved by λ/2 which changes the path difference by 2(λ/2)=λ. This makes the waves to go in phase and out of phase to the original state.

Conclusion:

Since there is no change in the pattern, option (a) is the incorrect answer.

Since the dark circle changes into bright circle, option (b) is incorrect.

Since the dark circle changes into bright circle and then back into dark circle, option (c) is correct.

Since the dark circle changes into bright circle and then back into dark circle and then into bright circle, option (d) is incorrect.

Answer 20

Ch. 37.2 - Which of the following causes the fringes in a...Ch. 37.3 - Using Figure 36.6 as a model, sketch the...Ch. 37.5 - One microscope slide is placed on top of another...Ch. 37 - Prob. 1OQ Ch. 37 - Four trials of Youngs double-slit experiment are...Ch. 37 - Suppose Youngs double-slit experiment is performed...Ch. 37 - Prob. 4OQ Ch. 37 - Prob. 5OQ Ch. 37 - Prob. 6OQ Ch. 37 - Prob. 7OQ

The change you see when you gradually move the light source towards the central mirror, through a distance λ / 2 .

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The change you see when you gradually move the light source towards the central mirror, through a distance λ/2.

Answer to Problem 1OQ

Explanation of Solution

The change you see when you gradually move the movable mirror towards the central mirror, through a distance λ/2.

Answer to Problem 1OQ

Explanation of Solution

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Chapter 37 Solutions