NEET Exam  >  NEET Questions  >  Wo coherent sources of radio waves,A and B, a... Start Learning for Free
Wo coherent sources of radio waves,A and B, are 5.00 meters apart. Each source emits waves withwavelength 6.00 meters. Consider points along the line connectingthe two sources. a) At what distance from source A isthere constructive interference B)destructive?
Most Upvoted Answer
Wo coherent sources of radio waves,A and B, are 5.00 meters apart. Eac...
Community Answer
Wo coherent sources of radio waves,A and B, are 5.00 meters apart. Eac...
Constructive Interference:

Constructive interference occurs when the crests of two waves align and reinforce each other, resulting in an increased amplitude. In the case of coherent sources of radio waves A and B, the distance between them is 5.00 meters and the wavelength of the waves is 6.00 meters. We need to determine the distance from source A where constructive interference occurs.

To find this distance, we can consider the concept of path difference. The path difference is the difference in distance traveled by the waves from the two sources to a specific point along the line connecting them. For constructive interference, the path difference must be equal to a whole number of wavelengths.

Let's assume that the point where we want to determine the distance from source A is distance x from source A. The path difference can be calculated as follows:

Path difference = distance traveled by wave from source B - distance traveled by wave from source A

Path difference = x - (5.00 - x) = 2x - 5.00

For constructive interference, the path difference must be equal to a whole number of wavelengths:

2x - 5.00 = n * wavelength

where n is an integer. In this case, the wavelength is given as 6.00 meters.

Solving the equation for x:

2x - 5.00 = n * 6.00

2x = 5.00 + 6.00n

x = (5.00 + 6.00n) / 2

Therefore, the distance x from source A where constructive interference occurs is given by the expression (5.00 + 6.00n) / 2, where n is an integer.

Destructive Interference:

Destructive interference occurs when the crests of one wave align with the troughs of another wave, resulting in a cancellation or reduction in amplitude. Again, we need to determine the distance from source A where destructive interference occurs.

Similar to the approach for constructive interference, we consider the path difference. For destructive interference, the path difference must be equal to a half number of wavelengths.

Using the same assumption as before, the path difference can be calculated as follows:

Path difference = distance traveled by wave from source B - distance traveled by wave from source A

Path difference = x - (5.00 - x) = 2x - 5.00

For destructive interference, the path difference must be equal to a half number of wavelengths:

2x - 5.00 = (n + 0.5) * wavelength

Solving the equation for x:

2x - 5.00 = (n + 0.5) * 6.00

2x = 5.00 + 3.00n + 1.50

2x = 6.50 + 3.00n

x = (6.50 + 3.00n) / 2

Therefore, the distance x from source A where destructive interference occurs is given by the expression (6.50 + 3.00n) / 2, where n is an integer.

In conclusion, the distance from source A where constructive interference occurs is given by (5.00 + 6.00n) / 2, and the distance from source A where destructive interference occurs is given by (6.50 + 3.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
Explore Courses for NEET exam

Top Courses for NEET

Wo coherent sources of radio waves,A and B, are 5.00 meters apart. Each source emits waves withwavelength 6.00 meters. Consider points along the line connectingthe two sources. a) At what distance from source A isthere constructive interference B)destructive?
Question Description
Wo coherent sources of radio waves,A and B, are 5.00 meters apart. Each source emits waves withwavelength 6.00 meters. Consider points along the line connectingthe two sources. a) At what distance from source A isthere constructive interference B)destructive? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Wo coherent sources of radio waves,A and B, are 5.00 meters apart. Each source emits waves withwavelength 6.00 meters. Consider points along the line connectingthe two sources. a) At what distance from source A isthere constructive interference B)destructive? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Wo coherent sources of radio waves,A and B, are 5.00 meters apart. Each source emits waves withwavelength 6.00 meters. Consider points along the line connectingthe two sources. a) At what distance from source A isthere constructive interference B)destructive?.
Solutions for Wo coherent sources of radio waves,A and B, are 5.00 meters apart. Each source emits waves withwavelength 6.00 meters. Consider points along the line connectingthe two sources. a) At what distance from source A isthere constructive interference B)destructive? in English & in Hindi are available as part of our courses for NEET. Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of Wo coherent sources of radio waves,A and B, are 5.00 meters apart. Each source emits waves withwavelength 6.00 meters. Consider points along the line connectingthe two sources. a) At what distance from source A isthere constructive interference B)destructive? defined & explained in the simplest way possible. Besides giving the explanation of Wo coherent sources of radio waves,A and B, are 5.00 meters apart. Each source emits waves withwavelength 6.00 meters. Consider points along the line connectingthe two sources. a) At what distance from source A isthere constructive interference B)destructive?, a detailed solution for Wo coherent sources of radio waves,A and B, are 5.00 meters apart. Each source emits waves withwavelength 6.00 meters. Consider points along the line connectingthe two sources. a) At what distance from source A isthere constructive interference B)destructive? has been provided alongside types of Wo coherent sources of radio waves,A and B, are 5.00 meters apart. Each source emits waves withwavelength 6.00 meters. Consider points along the line connectingthe two sources. a) At what distance from source A isthere constructive interference B)destructive? theory, EduRev gives you an ample number of questions to practice Wo coherent sources of radio waves,A and B, are 5.00 meters apart. Each source emits waves withwavelength 6.00 meters. Consider points along the line connectingthe two sources. a) At what distance from source A isthere constructive interference B)destructive? tests, examples and also practice NEET tests.
Explore Courses for NEET exam

Top Courses for NEET

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