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If the ratio of the intensity of two coherent sources is 4 then the visibility [(Imax- Imin)/(Imax+ Imin)] of the fringes is
- a)4
- b)4/5
- c)3/5
- d)9
Correct answer is option 'B'. Can you explain this answer?
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Explanation:
The visibility of fringes in interference patterns is a measure of the contrast or sharpness of the fringes. It is given by the formula:
Visibility = (Imax - Imin) / (Imax + Imin)
where Imax is the maximum intensity and Imin is the minimum intensity of the interference pattern.
In this question, we are given that the ratio of the intensity of two coherent sources is 4. Let's assume the intensities of the two sources are I1 and I2, where I1 is the intensity of the first source and I2 is the intensity of the second source. According to the given information, we can write:
I1 / I2 = 4
Simplifying this equation, we get:
I1 = 4I2
Calculating the maximum and minimum intensities:
In an interference pattern, the maximum intensity (Imax) occurs when the path difference between the two sources is zero, and the minimum intensity (Imin) occurs when the path difference is half of the wavelength. Let's calculate Imax and Imin using the given information.
Imax = I1 + I2 = 4I2 + I2 = 5I2
Imin = I1 - I2 = 4I2 - I2 = 3I2
Calculating the visibility:
Now, we can substitute the values of Imax and Imin into the visibility formula:
Visibility = (Imax - Imin) / (Imax + Imin)
= (5I2 - 3I2) / (5I2 + 3I2)
= 2I2 / 8I2
= 2/8
= 1/4
Therefore, the visibility of the fringes is 1/4, which can be written as 4/5. Hence, the correct answer is option B.
The visibility of fringes in interference patterns is a measure of the contrast or sharpness of the fringes. It is given by the formula:
Visibility = (Imax - Imin) / (Imax + Imin)
where Imax is the maximum intensity and Imin is the minimum intensity of the interference pattern.
In this question, we are given that the ratio of the intensity of two coherent sources is 4. Let's assume the intensities of the two sources are I1 and I2, where I1 is the intensity of the first source and I2 is the intensity of the second source. According to the given information, we can write:
I1 / I2 = 4
Simplifying this equation, we get:
I1 = 4I2
Calculating the maximum and minimum intensities:
In an interference pattern, the maximum intensity (Imax) occurs when the path difference between the two sources is zero, and the minimum intensity (Imin) occurs when the path difference is half of the wavelength. Let's calculate Imax and Imin using the given information.
Imax = I1 + I2 = 4I2 + I2 = 5I2
Imin = I1 - I2 = 4I2 - I2 = 3I2
Calculating the visibility:
Now, we can substitute the values of Imax and Imin into the visibility formula:
Visibility = (Imax - Imin) / (Imax + Imin)
= (5I2 - 3I2) / (5I2 + 3I2)
= 2I2 / 8I2
= 2/8
= 1/4
Therefore, the visibility of the fringes is 1/4, which can be written as 4/5. Hence, the correct answer is option B.
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If the ratio of the intensity of two coherent sources is 4 then the visibility [(Imax- Imin)/(Imax+ Imin)] of the fringes isa)4b)4/5c)3/5d)9Correct answer is option 'B'. Can you explain this answer?
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If the ratio of the intensity of two coherent sources is 4 then the visibility [(Imax- Imin)/(Imax+ Imin)] of the fringes isa)4b)4/5c)3/5d)9Correct answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If the ratio of the intensity of two coherent sources is 4 then the visibility [(Imax- Imin)/(Imax+ Imin)] of the fringes isa)4b)4/5c)3/5d)9Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the ratio of the intensity of two coherent sources is 4 then the visibility [(Imax- Imin)/(Imax+ Imin)] of the fringes isa)4b)4/5c)3/5d)9Correct answer is option 'B'. Can you explain this answer?.
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