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In a Young's double-slit experiment, let A and B be the two slits. A thin film of thickness t and refractive index m is placed in front of A. Let b = fringe width. The central maximum will shift :
- a)Towards A
- b)Towards B
- c)By t(m _1) b/l
- d)By m t b/l
Correct answer is option 'A,C'. Can you explain this answer?
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In a Youngs double-slit experiment, let A and B be the two slits. A th...
The Young's double-slit experiment is a classic experiment in physics that demonstrates the wave nature of light. In this experiment, light from a single source is split into two coherent beams by passing through two narrow slits, A and B, which act as sources of secondary waves. These secondary waves interfere with each other, creating an interference pattern on a screen placed behind the slits.
Effect of a Thin Film:
In this particular setup, a thin film of thickness t and refractive index m is placed in front of slit A. This thin film introduces an additional phase shift to the light passing through it. This phase shift is given by the equation:
δ = 2πt(m - 1)/λ
where δ is the phase shift, t is the thickness of the film, m is the refractive index of the film, and λ is the wavelength of light.
Shift in the Central Maximum:
The central maximum in the interference pattern is the region of maximum intensity at the center of the pattern. The presence of the thin film in front of slit A causes a shift in the position of the central maximum. This shift can be understood in two parts:
1. Shift Towards A:
The presence of the thin film causes the path length of the light passing through slit A to be longer compared to the path length of the light passing through slit B. This difference in path length leads to a phase difference between the two waves. The interference between these two waves results in a shift of the central maximum towards slit A.
2. Shift by δ:
The additional phase shift introduced by the thin film also contributes to the shift in the position of the central maximum. This phase shift modifies the interference pattern, causing the central maximum to shift further towards slit A by an amount given by δ.
Therefore, the correct answers are options A and C. The central maximum in the interference pattern will shift towards slit A due to the presence of the thin film, and the shift will be given by δ = 2πt(m - 1)/λ.
Effect of a Thin Film:
In this particular setup, a thin film of thickness t and refractive index m is placed in front of slit A. This thin film introduces an additional phase shift to the light passing through it. This phase shift is given by the equation:
δ = 2πt(m - 1)/λ
where δ is the phase shift, t is the thickness of the film, m is the refractive index of the film, and λ is the wavelength of light.
Shift in the Central Maximum:
The central maximum in the interference pattern is the region of maximum intensity at the center of the pattern. The presence of the thin film in front of slit A causes a shift in the position of the central maximum. This shift can be understood in two parts:
1. Shift Towards A:
The presence of the thin film causes the path length of the light passing through slit A to be longer compared to the path length of the light passing through slit B. This difference in path length leads to a phase difference between the two waves. The interference between these two waves results in a shift of the central maximum towards slit A.
2. Shift by δ:
The additional phase shift introduced by the thin film also contributes to the shift in the position of the central maximum. This phase shift modifies the interference pattern, causing the central maximum to shift further towards slit A by an amount given by δ.
Therefore, the correct answers are options A and C. The central maximum in the interference pattern will shift towards slit A due to the presence of the thin film, and the shift will be given by δ = 2πt(m - 1)/λ.
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In a Youngs double-slit experiment, let A and B be the two slits. A thin film of thickness t and refractive index m is placed in front of A. Let b = fringe width. The central maximum will shift :a)Towards Ab)Towards Bc)By t(m _1) b/ld)By m t b/lCorrect answer is option 'A,C'. Can you explain this answer?
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