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Consider a monochromatic coherent source of light passes through three parallel slits, each separated by a distance 'd' from its neighbour. Suppose the waves emerging from slits with a constant phase difference from each other. If I is the itensity of the primary maxima, then which of the following is/are CORRECT? (a) Intensity at the screen is/ = 11 + 2cos (b) Intensity minima occurs for $ = (2m + 1) (c) Ratio of intensity of secondary maxima to primary maxima is 1/9.?
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Consider a monochromatic coherent source of light passes through three...
Intensity distribution in Young's double slit experiment
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Intensity distribution in Young's double slit experiment is given by the equation:
I = 4I₀ cos²(θ/2),
where I is the intensity at a point on the screen, I₀ is the intensity of the primary maxima, and θ is the angle between the line joining the point on the screen to the central maximum and the line joining the two slits.
Intensity at the screen
------------------------
In this case, we have three parallel slits, each separated by a distance 'd' from its neighbour. The waves emerging from the slits have a constant phase difference from each other.
When the waves from all three slits interfere, the resultant intensity at a point on the screen can be calculated by considering the interference pattern formed by the waves from the three slits.
The intensity distribution for three slits is given by:
I = 9I₀ cos²(θ/2),
where I₀ is the intensity of the primary maxima.
Therefore, the correct expression for the intensity at the screen is:
I = 9I₀ cos²(θ/2).
Intensity minima
-------------------
Intensity minima occur when the path difference between the waves from adjacent slits is half of the wavelength (λ/2) or an odd multiple of half the wavelength (λ/2, 3λ/2, 5λ/2, ...).
Therefore, the correct expression for the intensity minima is:
θ = (2m + 1)λ/2,
where m is an integer.
Ratio of intensity of secondary maxima to primary maxima
----------------------------------------------------------
The ratio of the intensity of the secondary maxima to the intensity of the primary maxima can be calculated by substituting the values of θ into the intensity distribution equation:
I_secondary/I_primary = 9I₀ cos²((2m + 1)λ/4)/2,
I_secondary/I_primary = 9I₀/2 * (1 + cos((2m + 1)λ/2)),
I_secondary/I_primary = 9/2 * (1 + cos((2m + 1)λ/2)).
Therefore, the correct ratio of the intensity of the secondary maxima to the intensity of the primary maxima is:
I_secondary/I_primary = 9/2 * (1 + cos((2m + 1)λ/2)).
Summary
---------
To summarize, in the given scenario where a monochromatic coherent source of light passes through three parallel slits, the correct expressions are:
- Intensity at the screen: I = 9I₀ cos²(θ/2).
- Intensity minima occurs for θ = (2m + 1)λ/2.
- Ratio of intensity of secondary maxima to primary maxima: I_secondary/I_primary = 9/2 * (1 + cos((2m + 1)λ/2)).
-----------------------------------------------------
Intensity distribution in Young's double slit experiment is given by the equation:
I = 4I₀ cos²(θ/2),
where I is the intensity at a point on the screen, I₀ is the intensity of the primary maxima, and θ is the angle between the line joining the point on the screen to the central maximum and the line joining the two slits.
Intensity at the screen
------------------------
In this case, we have three parallel slits, each separated by a distance 'd' from its neighbour. The waves emerging from the slits have a constant phase difference from each other.
When the waves from all three slits interfere, the resultant intensity at a point on the screen can be calculated by considering the interference pattern formed by the waves from the three slits.
The intensity distribution for three slits is given by:
I = 9I₀ cos²(θ/2),
where I₀ is the intensity of the primary maxima.
Therefore, the correct expression for the intensity at the screen is:
I = 9I₀ cos²(θ/2).
Intensity minima
-------------------
Intensity minima occur when the path difference between the waves from adjacent slits is half of the wavelength (λ/2) or an odd multiple of half the wavelength (λ/2, 3λ/2, 5λ/2, ...).
Therefore, the correct expression for the intensity minima is:
θ = (2m + 1)λ/2,
where m is an integer.
Ratio of intensity of secondary maxima to primary maxima
----------------------------------------------------------
The ratio of the intensity of the secondary maxima to the intensity of the primary maxima can be calculated by substituting the values of θ into the intensity distribution equation:
I_secondary/I_primary = 9I₀ cos²((2m + 1)λ/4)/2,
I_secondary/I_primary = 9I₀/2 * (1 + cos((2m + 1)λ/2)),
I_secondary/I_primary = 9/2 * (1 + cos((2m + 1)λ/2)).
Therefore, the correct ratio of the intensity of the secondary maxima to the intensity of the primary maxima is:
I_secondary/I_primary = 9/2 * (1 + cos((2m + 1)λ/2)).
Summary
---------
To summarize, in the given scenario where a monochromatic coherent source of light passes through three parallel slits, the correct expressions are:
- Intensity at the screen: I = 9I₀ cos²(θ/2).
- Intensity minima occurs for θ = (2m + 1)λ/2.
- Ratio of intensity of secondary maxima to primary maxima: I_secondary/I_primary = 9/2 * (1 + cos((2m + 1)λ/2)).
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Consider a monochromatic coherent source of light passes through three parallel slits, each separated by a distance 'd' from its neighbour. Suppose the waves emerging from slits with a constant phase difference from each other. If I is the itensity of the primary maxima, then which of the following is/are CORRECT? (a) Intensity at the screen is/ = 11 + 2cos (b) Intensity minima occurs for $ = (2m + 1) (c) Ratio of intensity of secondary maxima to primary maxima is 1/9.?
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Consider a monochromatic coherent source of light passes through three parallel slits, each separated by a distance 'd' from its neighbour. Suppose the waves emerging from slits with a constant phase difference from each other. If I is the itensity of the primary maxima, then which of the following is/are CORRECT? (a) Intensity at the screen is/ = 11 + 2cos (b) Intensity minima occurs for $ = (2m + 1) (c) Ratio of intensity of secondary maxima to primary maxima is 1/9.? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Consider a monochromatic coherent source of light passes through three parallel slits, each separated by a distance 'd' from its neighbour. Suppose the waves emerging from slits with a constant phase difference from each other. If I is the itensity of the primary maxima, then which of the following is/are CORRECT? (a) Intensity at the screen is/ = 11 + 2cos (b) Intensity minima occurs for $ = (2m + 1) (c) Ratio of intensity of secondary maxima to primary maxima is 1/9.? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a monochromatic coherent source of light passes through three parallel slits, each separated by a distance 'd' from its neighbour. Suppose the waves emerging from slits with a constant phase difference from each other. If I is the itensity of the primary maxima, then which of the following is/are CORRECT? (a) Intensity at the screen is/ = 11 + 2cos (b) Intensity minima occurs for $ = (2m + 1) (c) Ratio of intensity of secondary maxima to primary maxima is 1/9.?.
Consider a monochromatic coherent source of light passes through three parallel slits, each separated by a distance 'd' from its neighbour. Suppose the waves emerging from slits with a constant phase difference from each other. If I is the itensity of the primary maxima, then which of the following is/are CORRECT? (a) Intensity at the screen is/ = 11 + 2cos (b) Intensity minima occurs for $ = (2m + 1) (c) Ratio of intensity of secondary maxima to primary maxima is 1/9.? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Consider a monochromatic coherent source of light passes through three parallel slits, each separated by a distance 'd' from its neighbour. Suppose the waves emerging from slits with a constant phase difference from each other. If I is the itensity of the primary maxima, then which of the following is/are CORRECT? (a) Intensity at the screen is/ = 11 + 2cos (b) Intensity minima occurs for $ = (2m + 1) (c) Ratio of intensity of secondary maxima to primary maxima is 1/9.? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a monochromatic coherent source of light passes through three parallel slits, each separated by a distance 'd' from its neighbour. Suppose the waves emerging from slits with a constant phase difference from each other. If I is the itensity of the primary maxima, then which of the following is/are CORRECT? (a) Intensity at the screen is/ = 11 + 2cos (b) Intensity minima occurs for $ = (2m + 1) (c) Ratio of intensity of secondary maxima to primary maxima is 1/9.?.
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Consider a monochromatic coherent source of light passes through three parallel slits, each separated by a distance 'd' from its neighbour. Suppose the waves emerging from slits with a constant phase difference from each other. If I is the itensity of the primary maxima, then which of the following is/are CORRECT? (a) Intensity at the screen is/ = 11 + 2cos (b) Intensity minima occurs for $ = (2m + 1) (c) Ratio of intensity of secondary maxima to primary maxima is 1/9.?, a detailed solution for Consider a monochromatic coherent source of light passes through three parallel slits, each separated by a distance 'd' from its neighbour. Suppose the waves emerging from slits with a constant phase difference from each other. If I is the itensity of the primary maxima, then which of the following is/are CORRECT? (a) Intensity at the screen is/ = 11 + 2cos (b) Intensity minima occurs for $ = (2m + 1) (c) Ratio of intensity of secondary maxima to primary maxima is 1/9.? has been provided alongside types of Consider a monochromatic coherent source of light passes through three parallel slits, each separated by a distance 'd' from its neighbour. Suppose the waves emerging from slits with a constant phase difference from each other. If I is the itensity of the primary maxima, then which of the following is/are CORRECT? (a) Intensity at the screen is/ = 11 + 2cos (b) Intensity minima occurs for $ = (2m + 1) (c) Ratio of intensity of secondary maxima to primary maxima is 1/9.? theory, EduRev gives you an
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