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In an interference pattern formed by two coherent sources, the maximum and the minimum of the intensities are 9I0 and I0, respectively. The intensities of the individual waves are
- a)3l0 and lo
- b)4I0 and l0
- c)5I0 and 4I0
- d)9I0 and l0
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In an interference pattern formed by two coherent sources, the maximum...
The max & min intensities by two coherent sources is given by:-
Solving the above two eq, we get
l1 = 4l0 & l2 = l0
Solving the above two eq, we get
l1 = 4l0 & l2 = l0
Most Upvoted Answer
In an interference pattern formed by two coherent sources, the maximum...
Interference Pattern and Coherent Sources:
- In an interference pattern, two coherent sources emit waves that combine to form a resultant wave.
- Coherent sources have a constant phase difference and the same frequency.
Maximum and Minimum Intensities:
- The maximum intensity occurs when the waves are in phase and constructively interfere.
- The minimum intensity occurs when the waves are out of phase and destructively interfere.
Given Information:
- The maximum intensity is 9I0, where I0 is the intensity of a single wave.
- The minimum intensity is I0.
Ratio of Intensities:
- The ratio of maximum and minimum intensities gives us a clue about the interference pattern.
- The maximum intensity is 9I0, which suggests that the waves are in phase and constructively interfere.
- The minimum intensity is I0, which suggests that the waves are out of phase and destructively interfere.
Intensity of Individual Waves:
- To determine the intensity of the individual waves, we can consider the ratio of the maximum and minimum intensities.
- The ratio of maximum to minimum intensity is (9I0/I0) = 9.
- This ratio corresponds to the square of the ratio of the amplitudes of the waves.
Square of Amplitude Ratio:
- The square of the amplitude ratio is 9, which implies that the amplitude ratio is 3.
- The amplitude ratio of the waves is 3:1.
Intensity Ratio and Amplitude Ratio:
- The intensity of a wave is proportional to the square of its amplitude.
- Therefore, the intensity ratio of the waves is the square of the amplitude ratio.
- The intensity ratio is (3^2):(1^2) = 9:1.
Conclusion:
- From the given information, we can conclude that the intensities of the individual waves are 4I0 and I0.
- The correct answer is option 'B', which states that the intensities are 4I0 and I0.
- In an interference pattern, two coherent sources emit waves that combine to form a resultant wave.
- Coherent sources have a constant phase difference and the same frequency.
Maximum and Minimum Intensities:
- The maximum intensity occurs when the waves are in phase and constructively interfere.
- The minimum intensity occurs when the waves are out of phase and destructively interfere.
Given Information:
- The maximum intensity is 9I0, where I0 is the intensity of a single wave.
- The minimum intensity is I0.
Ratio of Intensities:
- The ratio of maximum and minimum intensities gives us a clue about the interference pattern.
- The maximum intensity is 9I0, which suggests that the waves are in phase and constructively interfere.
- The minimum intensity is I0, which suggests that the waves are out of phase and destructively interfere.
Intensity of Individual Waves:
- To determine the intensity of the individual waves, we can consider the ratio of the maximum and minimum intensities.
- The ratio of maximum to minimum intensity is (9I0/I0) = 9.
- This ratio corresponds to the square of the ratio of the amplitudes of the waves.
Square of Amplitude Ratio:
- The square of the amplitude ratio is 9, which implies that the amplitude ratio is 3.
- The amplitude ratio of the waves is 3:1.
Intensity Ratio and Amplitude Ratio:
- The intensity of a wave is proportional to the square of its amplitude.
- Therefore, the intensity ratio of the waves is the square of the amplitude ratio.
- The intensity ratio is (3^2):(1^2) = 9:1.
Conclusion:
- From the given information, we can conclude that the intensities of the individual waves are 4I0 and I0.
- The correct answer is option 'B', which states that the intensities are 4I0 and I0.
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In an interference pattern formed by two coherent sources, the maximum and the minimum of the intensities are 9I0 and I0, respectively. The intensities of the individual waves area)3l0 and lob)4I0 and l0c)5I0 and 4I0d)9I0 and l0Correct answer is option 'B'. Can you explain this answer?
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