Wave Optics
Q. A beam of light passes through a narrow slit and produces a diffraction pattern. What happens to the width of the central maximum if the slit width is decreased? (2019)
A.
It increases
B.
It decreases
C.
It remains the same
D.
It becomes zero
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Solution
According to the diffraction principle, as the slit width decreases, the width of the central maximum increases.
Correct Answer: A — It increases
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Q. A beam of light passes through a narrow slit and produces a diffraction pattern. What is the angle of the first minimum? (2019)
A.
λ/a
B.
λ/2a
C.
2λ/a
D.
3λ/a
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Solution
The angle of the first minimum in single-slit diffraction is given by sin(θ) = λ/a, where a is the width of the slit.
Correct Answer: A — λ/a
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Q. A beam of light passes through a narrow slit and produces a diffraction pattern. What is the angle for the first minimum? (2022)
A.
λ/a
B.
2λ/a
C.
λ/2a
D.
a/λ
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Solution
The angle for the first minimum in single-slit diffraction is given by a sin θ = λ, hence θ = λ/a.
Correct Answer: A — λ/a
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Q. If the wavelength of light used in a diffraction grating is increased, what happens to the angular separation of the fringes? (2023)
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
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Solution
The angular separation (θ) is directly proportional to the wavelength (λ). Therefore, increasing λ increases the angular separation.
Correct Answer: A — Increases
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Q. If the wavelength of light used in a double-slit experiment is increased, what happens to the fringe separation? (2022)
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
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Solution
Fringe separation is directly proportional to the wavelength. If the wavelength increases, the fringe separation also increases.
Correct Answer: A — Increases
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Q. If the wavelength of light used in a single-slit diffraction experiment is increased, what will happen to the position of the first minimum? (2022)
A.
It moves closer to the center
B.
It moves away from the center
C.
It remains unchanged
D.
It disappears
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Solution
The position of the first minimum in single-slit diffraction is given by a sin(θ) = λ. Increasing λ will cause θ to increase, moving the minimum away from the center.
Correct Answer: B — It moves away from the center
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Q. In a diffraction pattern, the central maximum is observed to be the brightest. What is the reason for this? (2022)
A.
It has the least path difference
B.
It has the maximum path difference
C.
It has the maximum intensity
D.
It has the minimum intensity
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Solution
The central maximum has the maximum intensity because all light waves arrive in phase at this point, leading to constructive interference.
Correct Answer: C — It has the maximum intensity
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Q. In a double-slit experiment, if the wavelength of light is halved, what happens to the fringe width? (2020)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
Fringe width (β) is given by β = λD/d. If λ is halved, β will also be halved.
Correct Answer: A — It doubles
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Q. In a thin film interference experiment, what type of interference occurs when light reflects off a denser medium? (2023)
A.
Constructive interference
B.
Destructive interference
C.
No interference
D.
Total internal reflection
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Solution
When light reflects off a denser medium, a phase change of π occurs, leading to destructive interference for certain path differences.
Correct Answer: B — Destructive interference
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Q. In a thin film of oil on water, what color will be seen if the film thickness is such that destructive interference occurs for blue light? (2021)
A.
Red
B.
Green
C.
Blue
D.
Yellow
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Solution
If destructive interference occurs for blue light, the color seen will be the complementary color, which is red.
Correct Answer: A — Red
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Q. In a thin film of oil on water, which color will appear at the center of the pattern if the film is viewed in white light? (2022)
A.
Red
B.
Blue
C.
Green
D.
Yellow
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Solution
At the center of the thin film interference pattern, the color that appears is typically green due to the constructive interference of wavelengths in that range.
Correct Answer: C — Green
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Q. What is the effect on the fringe separation in a double-slit experiment if the distance between the slits and the screen is increased? (2021)
A.
Fringe separation decreases
B.
Fringe separation increases
C.
Fringe separation remains the same
D.
Fringe separation becomes zero
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Solution
Fringe separation is directly proportional to the distance from the slits to the screen. Increasing this distance increases the fringe separation.
Correct Answer: B — Fringe separation increases
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Q. What is the relationship between the wavelength of light and the angle of diffraction in a grating? (2023)
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential relationship
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Solution
The angle of diffraction is directly proportional to the wavelength of light used in a diffraction grating, as described by the grating equation.
Correct Answer: A — Directly proportional
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