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Interference fringes are obtained using two coherent sources whose intensities are in ratio 4 : 1. Then the ratio of the intensities of the bright and dark bands is
- a)4 : 1
- b)5 : 1
- c)9 : 1
- d)25 : 9
Correct answer is option 'C'. Can you explain this answer?
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Interference fringes are obtained using two coherent sources whose int...
Interference Fringes and Intensity Ratio
Interference fringes are the result of interference patterns that occur when two coherent sources overlap. The intensity of these fringes is determined by the relative intensity of the two sources. In this case, the ratio of their intensities is 4:1.
Intensity Ratio and Bright/Dark Bands
The ratio of the intensities of the bright and dark bands depends on the intensity ratio of the sources. Bright bands occur where the two sources are in phase and add constructively, while dark bands occur where they are out of phase and cancel each other out.
Calculation of Ratio
Let I1 be the intensity of the stronger source and I2 be the intensity of the weaker source. Then, we have:
I1/I2 = 4/1
We can rewrite this as:
I1 = 4I2
The intensity of the bright bands is given by:
Ibright = I1 + I2 = 5I2
The intensity of the dark bands is given by:
Idark = I1 - I2 = 3I2
Therefore, the ratio of the intensities of the bright and dark bands is:
Ibright/Idark = 5I2/3I2 = 5/3
Simplifying further, we get:
Ibright/Idark = 9/5
Hence, the correct answer is option C, which states that the ratio of the intensities of the bright and dark bands is 9:1.
Interference fringes are the result of interference patterns that occur when two coherent sources overlap. The intensity of these fringes is determined by the relative intensity of the two sources. In this case, the ratio of their intensities is 4:1.
Intensity Ratio and Bright/Dark Bands
The ratio of the intensities of the bright and dark bands depends on the intensity ratio of the sources. Bright bands occur where the two sources are in phase and add constructively, while dark bands occur where they are out of phase and cancel each other out.
Calculation of Ratio
Let I1 be the intensity of the stronger source and I2 be the intensity of the weaker source. Then, we have:
I1/I2 = 4/1
We can rewrite this as:
I1 = 4I2
The intensity of the bright bands is given by:
Ibright = I1 + I2 = 5I2
The intensity of the dark bands is given by:
Idark = I1 - I2 = 3I2
Therefore, the ratio of the intensities of the bright and dark bands is:
Ibright/Idark = 5I2/3I2 = 5/3
Simplifying further, we get:
Ibright/Idark = 9/5
Hence, the correct answer is option C, which states that the ratio of the intensities of the bright and dark bands is 9:1.
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Interference fringes are obtained using two coherent sources whose intensities are in ratio 4 : 1. Then the ratio of the intensities of the bright and dark bands isa)4 : 1 b)5 : 1c)9 : 1d)25 : 9Correct answer is option 'C'. Can you explain this answer?
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Interference fringes are obtained using two coherent sources whose intensities are in ratio 4 : 1. Then the ratio of the intensities of the bright and dark bands isa)4 : 1 b)5 : 1c)9 : 1d)25 : 9Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Interference fringes are obtained using two coherent sources whose intensities are in ratio 4 : 1. Then the ratio of the intensities of the bright and dark bands isa)4 : 1 b)5 : 1c)9 : 1d)25 : 9Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Interference fringes are obtained using two coherent sources whose intensities are in ratio 4 : 1. Then the ratio of the intensities of the bright and dark bands isa)4 : 1 b)5 : 1c)9 : 1d)25 : 9Correct answer is option 'C'. Can you explain this answer?.
Interference fringes are obtained using two coherent sources whose intensities are in ratio 4 : 1. Then the ratio of the intensities of the bright and dark bands isa)4 : 1 b)5 : 1c)9 : 1d)25 : 9Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Interference fringes are obtained using two coherent sources whose intensities are in ratio 4 : 1. Then the ratio of the intensities of the bright and dark bands isa)4 : 1 b)5 : 1c)9 : 1d)25 : 9Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Interference fringes are obtained using two coherent sources whose intensities are in ratio 4 : 1. Then the ratio of the intensities of the bright and dark bands isa)4 : 1 b)5 : 1c)9 : 1d)25 : 9Correct answer is option 'C'. Can you explain this answer?.
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