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If the ratio of intensities of two waves causing interference be 9:4, then the ratio of maximum and minimum intensities will be
- a)3:2
- b)5:1
- c)9:4
- d)25:1
Correct answer is option 'D'. Can you explain this answer?
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If the ratio of intensities of two waves causing interference be 9:4, ...
Ratio of Intensities:
When two waves interfere, the intensity of the resultant wave depends on the amplitude of the two waves. If the amplitude of two waves is A1 and A2, then the intensity of the resultant wave is given by:
I ∝ (A1 + A2)²
If the ratio of intensities of two waves causing interference be 9:4, then we can assume that the amplitude ratio of the two waves is:
(A1 / A2)² = 9/4
(A1 / A2) = 3/2
Ratio of Maximum and Minimum Intensities:
When two waves interfere, the resultant wave has maximum and minimum intensity points. The maximum intensity point is called the constructive interference point, and the minimum intensity point is called the destructive interference point. The ratio of maximum and minimum intensities can be calculated as follows:
Let the amplitude of the two waves be A1 and A2. Then, the maximum amplitude of the resultant wave is (A1 + A2) and the minimum amplitude is (A1 - A2). Therefore, the ratio of maximum and minimum amplitudes is:
(A1 + A2) / (A1 - A2)
Substituting the amplitude ratio (A1 / A2) = 3/2, we get:
(A1 + A2) / (A1 - A2) = (3/2 + 1) / (3/2 - 1) = 5
Therefore, the ratio of maximum and minimum intensities is:
(5)² = 25:1
Hence, the correct answer is option D (25:1).
When two waves interfere, the intensity of the resultant wave depends on the amplitude of the two waves. If the amplitude of two waves is A1 and A2, then the intensity of the resultant wave is given by:
I ∝ (A1 + A2)²
If the ratio of intensities of two waves causing interference be 9:4, then we can assume that the amplitude ratio of the two waves is:
(A1 / A2)² = 9/4
(A1 / A2) = 3/2
Ratio of Maximum and Minimum Intensities:
When two waves interfere, the resultant wave has maximum and minimum intensity points. The maximum intensity point is called the constructive interference point, and the minimum intensity point is called the destructive interference point. The ratio of maximum and minimum intensities can be calculated as follows:
Let the amplitude of the two waves be A1 and A2. Then, the maximum amplitude of the resultant wave is (A1 + A2) and the minimum amplitude is (A1 - A2). Therefore, the ratio of maximum and minimum amplitudes is:
(A1 + A2) / (A1 - A2)
Substituting the amplitude ratio (A1 / A2) = 3/2, we get:
(A1 + A2) / (A1 - A2) = (3/2 + 1) / (3/2 - 1) = 5
Therefore, the ratio of maximum and minimum intensities is:
(5)² = 25:1
Hence, the correct answer is option D (25:1).
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Community Answer
If the ratio of intensities of two waves causing interference be 9:4, ...
Maximum intensity =(√I1+√I2)^2 = (√9 +√4)^2 =(3+2)^2 =5^2 =25.
Minimum intensity = (√I1 - √I2)^2=(√9 - √4)^2 =(3-2)^2 =1^2 =1.
ratio =25:1.
so option D is crt.
Minimum intensity = (√I1 - √I2)^2=(√9 - √4)^2 =(3-2)^2 =1^2 =1.
ratio =25:1.
so option D is crt.
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If the ratio of intensities of two waves causing interference be 9:4, then the ratio of maximum and minimum intensities will bea)3:2b)5:1c)9:4d)25:1Correct answer is option 'D'. 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 intensities of two waves causing interference be 9:4, then the ratio of maximum and minimum intensities will bea)3:2b)5:1c)9:4d)25:1Correct answer is option 'D'. 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 intensities of two waves causing interference be 9:4, then the ratio of maximum and minimum intensities will bea)3:2b)5:1c)9:4d)25:1Correct answer is option 'D'. Can you explain this answer?.
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