JEE Exam  >  JEE Questions  >  Two speakers connected to the same source of ... Start Learning for Free
Two speakers connected to the same source of fixed frequency are placed 2.0 m apart in a box. A sensitive microphone placed at a distance of 4.0 m from their midpoint along the perpendicular bisector shows maximum response. The box is slowly rotated until the speakers are in line with the microphone. The distance between the midpoint of the speakers and the microphone remains unchanged. Exactly five maximum responses are observed in the microphone in doing this. The wavelength of the sound wave is:
  • a)
    0.2 m
  • b)
    0.4 m
  • c)
    0.6 m
  • d)
    0.8 m
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Two speakers connected to the same source of fixed frequency are place...
Sound from S1 and S2 will interfere at the point on the circumference of the circle.
At A, path difference between two sounds is 0 m.
At B, path difference between two sounds is S1B−S2B=2 m.
From A to B, along the circumference, the path difference increases. Hence maxima and minima will be observed along the circumference. At B, 5th maxima is observed.
⇒ ΔxB = 2= 5λ
⇒ λ = 0.4 m
Free Test
Community Answer
Two speakers connected to the same source of fixed frequency are place...
Solution:

Given, distance between the speakers, d = 2.0 m
Distance between the midpoint of the speakers and the microphone, L = 4.0 m
Number of maximum responses observed during rotation, n = 5

Finding the wavelength of sound wave

Let λ be the wavelength of the sound wave.
When the speakers are in line with the microphone, the path difference between the waves reaching the microphone from the two speakers is given by λ/2.

Constructive interference occurs at the microphone when the path difference is an integer multiple of the wavelength, i.e.,
d sin θ = nλ, where n = 0, 1, 2, 3, ...

When the speakers are perpendicular to the line joining them and the microphone is at the midpoint, the path difference is zero and hence the distance between two speakers, d = λ/2.

When the speakers are in line with the microphone, the distance between the midpoint of the speakers and the microphone remains unchanged, i.e., L = 4.0 m.

Using the above equations, we get
d sin θ = nλ
2 sin θ = nλ / 2
2 sin θ = L / n
sin θ = L / (2n)

When n = 5, sin θ = 0.4

Therefore, λ = 2d sin θ = 2 × 2.0 × 0.4 = 1.6 m

Hence, the wavelength of the sound wave is 0.4 m.
Explore Courses for JEE exam
Two speakers connected to the same source of fixed frequency are placed 2.0 m apart in a box. A sensitive microphone placed at a distance of 4.0 mfrom their midpoint along the perpendicular bisector shows maximum response. The box is slowly rotated until the speakers are in line with the microphone. The distance between the midpoint of the speakers and the microphone remains unchanged. Exactly five maximum responses are observed in the microphone in doing this. The wavelength of the sound wave is:a)0.2 mb)0.4 mc)0.6 md)0.8 mCorrect answer is option 'B'. Can you explain this answer?
Question Description
Two speakers connected to the same source of fixed frequency are placed 2.0 m apart in a box. A sensitive microphone placed at a distance of 4.0 mfrom their midpoint along the perpendicular bisector shows maximum response. The box is slowly rotated until the speakers are in line with the microphone. The distance between the midpoint of the speakers and the microphone remains unchanged. Exactly five maximum responses are observed in the microphone in doing this. The wavelength of the sound wave is:a)0.2 mb)0.4 mc)0.6 md)0.8 mCorrect 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 speakers connected to the same source of fixed frequency are placed 2.0 m apart in a box. A sensitive microphone placed at a distance of 4.0 mfrom their midpoint along the perpendicular bisector shows maximum response. The box is slowly rotated until the speakers are in line with the microphone. The distance between the midpoint of the speakers and the microphone remains unchanged. Exactly five maximum responses are observed in the microphone in doing this. The wavelength of the sound wave is:a)0.2 mb)0.4 mc)0.6 md)0.8 mCorrect 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 speakers connected to the same source of fixed frequency are placed 2.0 m apart in a box. A sensitive microphone placed at a distance of 4.0 mfrom their midpoint along the perpendicular bisector shows maximum response. The box is slowly rotated until the speakers are in line with the microphone. The distance between the midpoint of the speakers and the microphone remains unchanged. Exactly five maximum responses are observed in the microphone in doing this. The wavelength of the sound wave is:a)0.2 mb)0.4 mc)0.6 md)0.8 mCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Two speakers connected to the same source of fixed frequency are placed 2.0 m apart in a box. A sensitive microphone placed at a distance of 4.0 mfrom their midpoint along the perpendicular bisector shows maximum response. The box is slowly rotated until the speakers are in line with the microphone. The distance between the midpoint of the speakers and the microphone remains unchanged. Exactly five maximum responses are observed in the microphone in doing this. The wavelength of the sound wave is:a)0.2 mb)0.4 mc)0.6 md)0.8 mCorrect 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 speakers connected to the same source of fixed frequency are placed 2.0 m apart in a box. A sensitive microphone placed at a distance of 4.0 mfrom their midpoint along the perpendicular bisector shows maximum response. The box is slowly rotated until the speakers are in line with the microphone. The distance between the midpoint of the speakers and the microphone remains unchanged. Exactly five maximum responses are observed in the microphone in doing this. The wavelength of the sound wave is:a)0.2 mb)0.4 mc)0.6 md)0.8 mCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Two speakers connected to the same source of fixed frequency are placed 2.0 m apart in a box. A sensitive microphone placed at a distance of 4.0 mfrom their midpoint along the perpendicular bisector shows maximum response. The box is slowly rotated until the speakers are in line with the microphone. The distance between the midpoint of the speakers and the microphone remains unchanged. Exactly five maximum responses are observed in the microphone in doing this. The wavelength of the sound wave is:a)0.2 mb)0.4 mc)0.6 md)0.8 mCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two speakers connected to the same source of fixed frequency are placed 2.0 m apart in a box. A sensitive microphone placed at a distance of 4.0 mfrom their midpoint along the perpendicular bisector shows maximum response. The box is slowly rotated until the speakers are in line with the microphone. The distance between the midpoint of the speakers and the microphone remains unchanged. Exactly five maximum responses are observed in the microphone in doing this. The wavelength of the sound wave is:a)0.2 mb)0.4 mc)0.6 md)0.8 mCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two speakers connected to the same source of fixed frequency are placed 2.0 m apart in a box. A sensitive microphone placed at a distance of 4.0 mfrom their midpoint along the perpendicular bisector shows maximum response. The box is slowly rotated until the speakers are in line with the microphone. The distance between the midpoint of the speakers and the microphone remains unchanged. Exactly five maximum responses are observed in the microphone in doing this. The wavelength of the sound wave is:a)0.2 mb)0.4 mc)0.6 md)0.8 mCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Two speakers connected to the same source of fixed frequency are placed 2.0 m apart in a box. A sensitive microphone placed at a distance of 4.0 mfrom their midpoint along the perpendicular bisector shows maximum response. The box is slowly rotated until the speakers are in line with the microphone. The distance between the midpoint of the speakers and the microphone remains unchanged. Exactly five maximum responses are observed in the microphone in doing this. The wavelength of the sound wave is:a)0.2 mb)0.4 mc)0.6 md)0.8 mCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev