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If we have two coherent sources S1andS2 vibrating in phase, then for an arbitrary point P constructive interference is observed whenever the path difference is
- a)An even multiple of wavelength
- b)A fraction of a wavelength
- c)An odd multiple of wavelength
- d)An integral multiple of wavelength
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If we have two coherent sourcesS1andS2vibrating in phase, then for an ...
Constructive interference occurs when the path differences (S1P−S2P) is an integral multiple of λ or (S1P−S2P)=nλ
Where n=0,1 ,2 3,….
Where n=0,1 ,2 3,….
Most Upvoted Answer
If we have two coherent sourcesS1andS2vibrating in phase, then for an ...
Constructive interference occurs when the waves from two coherent sources are in phase and their amplitudes add up. The path difference between the two waves determines whether constructive or destructive interference occurs at a particular point.
Path difference and wavelength:
- The path difference is the difference in distance traveled by the two waves from their sources to a particular point.
- The wavelength is the distance between two adjacent peaks or troughs of a wave.
For constructive interference to occur at point P:
- The path difference between the two waves should be an integral multiple of the wavelength.
- This is because the waves will be in phase at point P only if they have traveled the same distance from their sources to that point.
- If the path difference is an integral multiple of the wavelength, the peaks and troughs of the two waves will align at point P, resulting in constructive interference.
Example:
- Let's say the wavelength of the waves from sources S1 and S2 is λ.
- If the path difference between the two waves is λ/2, the peak of one wave will align with the trough of the other wave at point P, resulting in destructive interference.
- If the path difference is λ, the peaks and troughs of the waves will align at point P, resulting in constructive interference.
Therefore, the correct answer is option D - an integral multiple of wavelength.
Path difference and wavelength:
- The path difference is the difference in distance traveled by the two waves from their sources to a particular point.
- The wavelength is the distance between two adjacent peaks or troughs of a wave.
For constructive interference to occur at point P:
- The path difference between the two waves should be an integral multiple of the wavelength.
- This is because the waves will be in phase at point P only if they have traveled the same distance from their sources to that point.
- If the path difference is an integral multiple of the wavelength, the peaks and troughs of the two waves will align at point P, resulting in constructive interference.
Example:
- Let's say the wavelength of the waves from sources S1 and S2 is λ.
- If the path difference between the two waves is λ/2, the peak of one wave will align with the trough of the other wave at point P, resulting in destructive interference.
- If the path difference is λ, the peaks and troughs of the waves will align at point P, resulting in constructive interference.
Therefore, the correct answer is option D - an integral multiple of wavelength.
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If we have two coherent sourcesS1andS2vibrating in phase, then for an arbitrary point P constructive interference is observed whenever the path difference isa)An even multiple of wavelengthb)A fraction of a wavelengthc)An odd multiple of wavelengthd)An integral multiple of wavelengthCorrect answer is option 'D'. Can you explain this answer?
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If we have two coherent sourcesS1andS2vibrating in phase, then for an arbitrary point P constructive interference is observed whenever the path difference isa)An even multiple of wavelengthb)A fraction of a wavelengthc)An odd multiple of wavelengthd)An integral multiple of wavelengthCorrect answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about If we have two coherent sourcesS1andS2vibrating in phase, then for an arbitrary point P constructive interference is observed whenever the path difference isa)An even multiple of wavelengthb)A fraction of a wavelengthc)An odd multiple of wavelengthd)An integral multiple of wavelengthCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If we have two coherent sourcesS1andS2vibrating in phase, then for an arbitrary point P constructive interference is observed whenever the path difference isa)An even multiple of wavelengthb)A fraction of a wavelengthc)An odd multiple of wavelengthd)An integral multiple of wavelengthCorrect answer is option 'D'. Can you explain this answer?.
If we have two coherent sourcesS1andS2vibrating in phase, then for an arbitrary point P constructive interference is observed whenever the path difference isa)An even multiple of wavelengthb)A fraction of a wavelengthc)An odd multiple of wavelengthd)An integral multiple of wavelengthCorrect answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about If we have two coherent sourcesS1andS2vibrating in phase, then for an arbitrary point P constructive interference is observed whenever the path difference isa)An even multiple of wavelengthb)A fraction of a wavelengthc)An odd multiple of wavelengthd)An integral multiple of wavelengthCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If we have two coherent sourcesS1andS2vibrating in phase, then for an arbitrary point P constructive interference is observed whenever the path difference isa)An even multiple of wavelengthb)A fraction of a wavelengthc)An odd multiple of wavelengthd)An integral multiple of wavelengthCorrect answer is option 'D'. Can you explain this answer?.
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