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Two sinusoidal waves on the same string exhibit interference, adding or cancelling according to the principle of superposition. If the two are travelling in the same direction and have the same amplitude a and frequency but differ in phase by a phase constant φφ, the result is a single wave with the same frequency ω:If φ = 0 or an integral multiple of 2 π
- a)the waves are exactly in phase and the interference is constructive.
- b)the waves are exactly out of phase and the interference is desstructive.
- c)the waves are exactly in phase and the interference is destructive.
- d)the waves are exactly out of phase and the interference is constructive.
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Two sinusoidal waves on the same string exhibit interference, adding o...
Let the waves be
y1 = Asin(wt)
y2 = Asin(wt + φ)
If φ = 0 or 2nπ then the waves are exactly in phase and the interference is constructive.
Hence A is the correct answer.
y1 = Asin(wt)
y2 = Asin(wt + φ)
If φ = 0 or 2nπ then the waves are exactly in phase and the interference is constructive.
Hence A is the correct answer.
Most Upvoted Answer
Two sinusoidal waves on the same string exhibit interference, adding o...
Interference of Sinusoidal Waves
Interference is a phenomenon that occurs when two or more waves meet and interact with each other. When two sinusoidal waves on the same string interfere, they can either add constructively or cancel each other out destructively, depending on their relative phase.
Given Situation
In this case, we have two sinusoidal waves with the same amplitude and frequency, but they differ in phase by a phase constant. Let's analyze the different possibilities and their resulting interference.
A. Exactly in Phase (Constructive Interference)
When the two waves are exactly in phase, their crests and troughs align perfectly. In this case, the waves will add up together, resulting in a single wave with the same frequency. The amplitude of the resulting wave will be the sum of the amplitudes of the individual waves.
B. Exactly Out of Phase (Destructive Interference)
When the two waves are exactly out of phase, their crests and troughs are completely misaligned. In this case, the waves will cancel each other out, resulting in zero displacement at all points. The interference is destructive, and there will be no wave present.
C. Phase Difference of a Whole Number of Wavelengths
If the phase difference between the two waves is an integral multiple of 2π (or a whole number of wavelengths), the waves will again be in phase with each other. This is because the phase difference will complete a full cycle, bringing the waves into alignment. The interference will be constructive, and a single wave with the same frequency will result.
Conclusion
Based on the given options, it is clear that the correct answer is option A. When the two waves are exactly in phase, the interference is constructive, and a single wave with the same frequency is formed.
Interference is a phenomenon that occurs when two or more waves meet and interact with each other. When two sinusoidal waves on the same string interfere, they can either add constructively or cancel each other out destructively, depending on their relative phase.
Given Situation
In this case, we have two sinusoidal waves with the same amplitude and frequency, but they differ in phase by a phase constant. Let's analyze the different possibilities and their resulting interference.
A. Exactly in Phase (Constructive Interference)
When the two waves are exactly in phase, their crests and troughs align perfectly. In this case, the waves will add up together, resulting in a single wave with the same frequency. The amplitude of the resulting wave will be the sum of the amplitudes of the individual waves.
B. Exactly Out of Phase (Destructive Interference)
When the two waves are exactly out of phase, their crests and troughs are completely misaligned. In this case, the waves will cancel each other out, resulting in zero displacement at all points. The interference is destructive, and there will be no wave present.
C. Phase Difference of a Whole Number of Wavelengths
If the phase difference between the two waves is an integral multiple of 2π (or a whole number of wavelengths), the waves will again be in phase with each other. This is because the phase difference will complete a full cycle, bringing the waves into alignment. The interference will be constructive, and a single wave with the same frequency will result.
Conclusion
Based on the given options, it is clear that the correct answer is option A. When the two waves are exactly in phase, the interference is constructive, and a single wave with the same frequency is formed.
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Two sinusoidal waves on the same string exhibit interference, adding or cancelling according to the principle of superposition. If the two are travelling in the same direction and have the same amplitude a and frequency but differ in phase by a phase constantφφ, the result is a single wave with the same frequencyω:Ifφ= 0 or an integral multiple of 2πa)the waves are exactly in phase and the interference is constructive.b)the waves are exactly out of phase and the interference is desstructive.c)the waves are exactly in phase and the interference is destructive.d)the waves are exactly out of phase and the interference is constructive.Correct answer is option 'A'. Can you explain this answer?
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Two sinusoidal waves on the same string exhibit interference, adding or cancelling according to the principle of superposition. If the two are travelling in the same direction and have the same amplitude a and frequency but differ in phase by a phase constantφφ, the result is a single wave with the same frequencyω:Ifφ= 0 or an integral multiple of 2πa)the waves are exactly in phase and the interference is constructive.b)the waves are exactly out of phase and the interference is desstructive.c)the waves are exactly in phase and the interference is destructive.d)the waves are exactly out of phase and the interference is constructive.Correct answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two sinusoidal waves on the same string exhibit interference, adding or cancelling according to the principle of superposition. If the two are travelling in the same direction and have the same amplitude a and frequency but differ in phase by a phase constantφφ, the result is a single wave with the same frequencyω:Ifφ= 0 or an integral multiple of 2πa)the waves are exactly in phase and the interference is constructive.b)the waves are exactly out of phase and the interference is desstructive.c)the waves are exactly in phase and the interference is destructive.d)the waves are exactly out of phase and the interference is constructive.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two sinusoidal waves on the same string exhibit interference, adding or cancelling according to the principle of superposition. If the two are travelling in the same direction and have the same amplitude a and frequency but differ in phase by a phase constantφφ, the result is a single wave with the same frequencyω:Ifφ= 0 or an integral multiple of 2πa)the waves are exactly in phase and the interference is constructive.b)the waves are exactly out of phase and the interference is desstructive.c)the waves are exactly in phase and the interference is destructive.d)the waves are exactly out of phase and the interference is constructive.Correct answer is option 'A'. Can you explain this answer?.
Two sinusoidal waves on the same string exhibit interference, adding or cancelling according to the principle of superposition. If the two are travelling in the same direction and have the same amplitude a and frequency but differ in phase by a phase constantφφ, the result is a single wave with the same frequencyω:Ifφ= 0 or an integral multiple of 2πa)the waves are exactly in phase and the interference is constructive.b)the waves are exactly out of phase and the interference is desstructive.c)the waves are exactly in phase and the interference is destructive.d)the waves are exactly out of phase and the interference is constructive.Correct answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two sinusoidal waves on the same string exhibit interference, adding or cancelling according to the principle of superposition. If the two are travelling in the same direction and have the same amplitude a and frequency but differ in phase by a phase constantφφ, the result is a single wave with the same frequencyω:Ifφ= 0 or an integral multiple of 2πa)the waves are exactly in phase and the interference is constructive.b)the waves are exactly out of phase and the interference is desstructive.c)the waves are exactly in phase and the interference is destructive.d)the waves are exactly out of phase and the interference is constructive.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two sinusoidal waves on the same string exhibit interference, adding or cancelling according to the principle of superposition. If the two are travelling in the same direction and have the same amplitude a and frequency but differ in phase by a phase constantφφ, the result is a single wave with the same frequencyω:Ifφ= 0 or an integral multiple of 2πa)the waves are exactly in phase and the interference is constructive.b)the waves are exactly out of phase and the interference is desstructive.c)the waves are exactly in phase and the interference is destructive.d)the waves are exactly out of phase and the interference is constructive.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Two sinusoidal waves on the same string exhibit interference, adding or cancelling according to the principle of superposition. If the two are travelling in the same direction and have the same amplitude a and frequency but differ in phase by a phase constantφφ, the result is a single wave with the same frequencyω:Ifφ= 0 or an integral multiple of 2πa)the waves are exactly in phase and the interference is constructive.b)the waves are exactly out of phase and the interference is desstructive.c)the waves are exactly in phase and the interference is destructive.d)the waves are exactly out of phase and the interference is constructive.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
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ample number of questions to practice Two sinusoidal waves on the same string exhibit interference, adding or cancelling according to the principle of superposition. If the two are travelling in the same direction and have the same amplitude a and frequency but differ in phase by a phase constantφφ, the result is a single wave with the same frequencyω:Ifφ= 0 or an integral multiple of 2πa)the waves are exactly in phase and the interference is constructive.b)the waves are exactly out of phase and the interference is desstructive.c)the waves are exactly in phase and the interference is destructive.d)the waves are exactly out of phase and the interference is constructive.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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