Q1. In a double-slit experiment, if the distance between the slits is 0.1 mm and the screen is 1 m away, what is the fringe separation for light of wavelength 500 nm? (2020)
Solution:
Fringe separation (β) = λD/d = (500 x 10^-9 m)(1 m)/(0.1 x 10^-3 m) = 0.5 mm.
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Q2. 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)
Solution:
If destructive interference occurs for blue light, the color seen will be the complementary color, which is red.
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Q3. If the wavelength of light used in a double-slit experiment is increased, what happens to the fringe separation? (2022)
Solution:
Fringe separation is directly proportional to the wavelength. If the wavelength increases, the fringe separation also increases.
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Q4. In a diffraction pattern, if the distance between the slits is decreased, what happens to the central maximum? (2022)
Solution:
Decreasing the distance between the slits increases the diffraction effect, causing the central maximum to become wider.
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Q5. In a diffraction pattern, the central maximum is observed to be the brightest. What is the reason for this? (2022)
Solution:
The central maximum has the maximum intensity because all light waves arrive in phase at this point, leading to constructive interference.
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Q6. What is the maximum number of bright fringes that can be observed in a double-slit experiment with a given wavelength? (2023)
Solution:
The maximum number of bright fringes depends on the wavelength and the slit separation, as it determines how many integer multiples of the wavelength fit within the observable range.
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Q7. What is the relationship between the wavelength of light and the angle of diffraction in a single-slit experiment? (2023)
Solution:
The angle of diffraction is inversely proportional to the wavelength; as the wavelength increases, the angle of diffraction decreases.
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Q8. What is the maximum number of bright fringes observed in a double-slit experiment if the wavelength of light is 500 nm and the distance between the slits is 0.1 mm? (2020)
Solution:
The maximum number of bright fringes is given by the formula n = d/λ. Here, n = 0.1 mm / 500 nm = 200, which means 20 bright fringes can be observed on either side of the central maximum.
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Q9. In a thin film of oil on water, which color will appear at the center of the pattern if the film thickness is such that it causes constructive interference for blue light? (2022)
Solution:
If the film thickness causes constructive interference for blue light, blue will appear at the center of the pattern.
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Q10. What is the relationship between the wavelength of light and the angle of diffraction in a grating? (2023)
Solution:
The angle of diffraction is directly proportional to the wavelength of light used in a diffraction grating, as described by the grating equation.
