JEE Exam > JEE Questions > Two sources of sound A and B produce progress...
Start Learning for Free
Two sources of sound A and B produce progressive waves given by y1 = 6 cos(100πt) and y2 = 4 cos(102πt) ear the ears of an observer. It will hear
- a)1 beat/s and intensity ratio of maxima to minima = 9/4
- b)1 beat/s and intensity ratio of maxima to minima = Correct Answer 25/1
- c)2 beat/s and intensity ratio of maxima to minima = 9/4
- d)4 beat/s and intensity ratio of maxima to minima = 3/2
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two sources of sound A and B produce progressive waves given by y1 = 6...
y1 = 6 cos(100πt) ...... (i)
y2 = 4 cos(102πt) ...... (ii)
Standard wave equation is given by y = Ao cos(ωt) ....... (iii)
From equation (i) and (iii), we get angular frequency ω1 = 100π = 2πf1 ⇒ f1 = 50 Hz
Amplitude, A01 = 6 unit From equation (ii) and (iii), we get ω2 =102π = 2πf2 ⇒ f2 =51 Hz
Amplitude, A02 = 4 unit
Beat frequency = difference in frequencies of the two given waves = f2 - f1 = 51 Hz - 50 Hz = 1 Hz, i.e 1 beat per sec
Resultant amplitude A of superposition of two waves of amplitudes A01 and A02 is A =
For maximum resultant amplitude, phase
For minimum resultant amplitude, phase
y2 = 4 cos(102πt) ...... (ii)
Standard wave equation is given by y = Ao cos(ωt) ....... (iii)
From equation (i) and (iii), we get angular frequency ω1 = 100π = 2πf1 ⇒ f1 = 50 Hz
Amplitude, A01 = 6 unit From equation (ii) and (iii), we get ω2 =102π = 2πf2 ⇒ f2 =51 Hz
Amplitude, A02 = 4 unit
Beat frequency = difference in frequencies of the two given waves = f2 - f1 = 51 Hz - 50 Hz = 1 Hz, i.e 1 beat per sec
Resultant amplitude A of superposition of two waves of amplitudes A01 and A02 is A =
For maximum resultant amplitude, phase
For minimum resultant amplitude, phase
Most Upvoted Answer
Two sources of sound A and B produce progressive waves given by y1 = 6...
Explanation:
- Given Waves:
- Wave A: y1 = 6 cos(100πt)
- Wave B: y2 = 4 cos(102πt)
- Frequency of Beats:
- The frequency of beats is given by the difference in frequencies of the two waves.
- Frequency of wave A = 100 Hz
- Frequency of wave B = 102 Hz
- Difference = 102 - 100 = 2 Hz
- This results in 1 beat per second.
- Intensity Ratio:
- The intensity of a wave is proportional to the square of its amplitude.
- Intensity ratio of maxima to minima can be calculated using the formula:
- (Amplitude of maxima)^2 / (Amplitude of minima)^2
- For wave A: Amplitude of maxima = 6, Amplitude of minima = 0
- For wave B: Amplitude of maxima = 4, Amplitude of minima = 0
- Intensity ratio = (6^2) / (4^2) = 36 / 16 = 9 / 4
Therefore, the observer will hear 1 beat per second and the intensity ratio of maxima to minima will be 9/4. Hence, the correct answer is option B.
- Given Waves:
- Wave A: y1 = 6 cos(100πt)
- Wave B: y2 = 4 cos(102πt)
- Frequency of Beats:
- The frequency of beats is given by the difference in frequencies of the two waves.
- Frequency of wave A = 100 Hz
- Frequency of wave B = 102 Hz
- Difference = 102 - 100 = 2 Hz
- This results in 1 beat per second.
- Intensity Ratio:
- The intensity of a wave is proportional to the square of its amplitude.
- Intensity ratio of maxima to minima can be calculated using the formula:
- (Amplitude of maxima)^2 / (Amplitude of minima)^2
- For wave A: Amplitude of maxima = 6, Amplitude of minima = 0
- For wave B: Amplitude of maxima = 4, Amplitude of minima = 0
- Intensity ratio = (6^2) / (4^2) = 36 / 16 = 9 / 4
Therefore, the observer will hear 1 beat per second and the intensity ratio of maxima to minima will be 9/4. Hence, the correct answer is option B.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Two sources of sound A and B produce progressive waves given by y1 = 6 cos(100πt) and y2 = 4 cos(102πt) ear the ears of an observer. It will heara)1 beat/s and intensity ratio of maxima to minima = 9/4b)1 beat/s and intensity ratio of maxima to minima = Correct Answer 25/1c)2 beat/s and intensity ratio of maxima to minima = 9/4d)4 beat/s and intensity ratio of maxima to minima = 3/2Correct answer is option 'B'. Can you explain this answer?
Question Description
Two sources of sound A and B produce progressive waves given by y1 = 6 cos(100πt) and y2 = 4 cos(102πt) ear the ears of an observer. It will heara)1 beat/s and intensity ratio of maxima to minima = 9/4b)1 beat/s and intensity ratio of maxima to minima = Correct Answer 25/1c)2 beat/s and intensity ratio of maxima to minima = 9/4d)4 beat/s and intensity ratio of maxima to minima = 3/2Correct answer is option 'B'. 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 Two sources of sound A and B produce progressive waves given by y1 = 6 cos(100πt) and y2 = 4 cos(102πt) ear the ears of an observer. It will heara)1 beat/s and intensity ratio of maxima to minima = 9/4b)1 beat/s and intensity ratio of maxima to minima = Correct Answer 25/1c)2 beat/s and intensity ratio of maxima to minima = 9/4d)4 beat/s and intensity ratio of maxima to minima = 3/2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two sources of sound A and B produce progressive waves given by y1 = 6 cos(100πt) and y2 = 4 cos(102πt) ear the ears of an observer. It will heara)1 beat/s and intensity ratio of maxima to minima = 9/4b)1 beat/s and intensity ratio of maxima to minima = Correct Answer 25/1c)2 beat/s and intensity ratio of maxima to minima = 9/4d)4 beat/s and intensity ratio of maxima to minima = 3/2Correct answer is option 'B'. Can you explain this answer?.
Two sources of sound A and B produce progressive waves given by y1 = 6 cos(100πt) and y2 = 4 cos(102πt) ear the ears of an observer. It will heara)1 beat/s and intensity ratio of maxima to minima = 9/4b)1 beat/s and intensity ratio of maxima to minima = Correct Answer 25/1c)2 beat/s and intensity ratio of maxima to minima = 9/4d)4 beat/s and intensity ratio of maxima to minima = 3/2Correct answer is option 'B'. 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 Two sources of sound A and B produce progressive waves given by y1 = 6 cos(100πt) and y2 = 4 cos(102πt) ear the ears of an observer. It will heara)1 beat/s and intensity ratio of maxima to minima = 9/4b)1 beat/s and intensity ratio of maxima to minima = Correct Answer 25/1c)2 beat/s and intensity ratio of maxima to minima = 9/4d)4 beat/s and intensity ratio of maxima to minima = 3/2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two sources of sound A and B produce progressive waves given by y1 = 6 cos(100πt) and y2 = 4 cos(102πt) ear the ears of an observer. It will heara)1 beat/s and intensity ratio of maxima to minima = 9/4b)1 beat/s and intensity ratio of maxima to minima = Correct Answer 25/1c)2 beat/s and intensity ratio of maxima to minima = 9/4d)4 beat/s and intensity ratio of maxima to minima = 3/2Correct answer is option 'B'. Can you explain this answer?.
Solutions for Two sources of sound A and B produce progressive waves given by y1 = 6 cos(100πt) and y2 = 4 cos(102πt) ear the ears of an observer. It will heara)1 beat/s and intensity ratio of maxima to minima = 9/4b)1 beat/s and intensity ratio of maxima to minima = Correct Answer 25/1c)2 beat/s and intensity ratio of maxima to minima = 9/4d)4 beat/s and intensity ratio of maxima to minima = 3/2Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Two sources of sound A and B produce progressive waves given by y1 = 6 cos(100πt) and y2 = 4 cos(102πt) ear the ears of an observer. It will heara)1 beat/s and intensity ratio of maxima to minima = 9/4b)1 beat/s and intensity ratio of maxima to minima = Correct Answer 25/1c)2 beat/s and intensity ratio of maxima to minima = 9/4d)4 beat/s and intensity ratio of maxima to minima = 3/2Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two sources of sound A and B produce progressive waves given by y1 = 6 cos(100πt) and y2 = 4 cos(102πt) ear the ears of an observer. It will heara)1 beat/s and intensity ratio of maxima to minima = 9/4b)1 beat/s and intensity ratio of maxima to minima = Correct Answer 25/1c)2 beat/s and intensity ratio of maxima to minima = 9/4d)4 beat/s and intensity ratio of maxima to minima = 3/2Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Two sources of sound A and B produce progressive waves given by y1 = 6 cos(100πt) and y2 = 4 cos(102πt) ear the ears of an observer. It will heara)1 beat/s and intensity ratio of maxima to minima = 9/4b)1 beat/s and intensity ratio of maxima to minima = Correct Answer 25/1c)2 beat/s and intensity ratio of maxima to minima = 9/4d)4 beat/s and intensity ratio of maxima to minima = 3/2Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Two sources of sound A and B produce progressive waves given by y1 = 6 cos(100πt) and y2 = 4 cos(102πt) ear the ears of an observer. It will heara)1 beat/s and intensity ratio of maxima to minima = 9/4b)1 beat/s and intensity ratio of maxima to minima = Correct Answer 25/1c)2 beat/s and intensity ratio of maxima to minima = 9/4d)4 beat/s and intensity ratio of maxima to minima = 3/2Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two sources of sound A and B produce progressive waves given by y1 = 6 cos(100πt) and y2 = 4 cos(102πt) ear the ears of an observer. It will heara)1 beat/s and intensity ratio of maxima to minima = 9/4b)1 beat/s and intensity ratio of maxima to minima = Correct Answer 25/1c)2 beat/s and intensity ratio of maxima to minima = 9/4d)4 beat/s and intensity ratio of maxima to minima = 3/2Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup