Class 11 Exam > Class 11 Questions > Two coherent monochromatic light beams of int...
Start Learning for Free
Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are:
- a)5I and I
- b)5I and 3I
- c)9I and I
- d)9I and 3I
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two coherent monochromatic light beams of intensities I and 4I are sup...
Most Upvoted Answer
Two coherent monochromatic light beams of intensities I and 4I are sup...
Given: Two coherent monochromatic light beams of intensities I and 4I are superposed.
To find: The maximum and minimum possible intensities in the resulting beam.
Solution:
When two coherent beams of light are superposed, the resultant intensity is given by:
I_r = I_1 + I_2 + 2√(I_1I_2)cosΦ
where I_1 and I_2 are the intensities of the two beams, Φ is the phase difference between them.
Now, in our case, the intensities of the two beams are I and 4I.
Therefore, the resultant intensity is given by:
I_r = I + 4I + 2√(I×4I)cosΦ
I_r = 5I + 4IcosΦ
Maximum and minimum intensities:
The maximum value of cosΦ is +1, which occurs when the two waves are in phase.
So, the maximum intensity of the resulting beam is:
I_max = 5I + 4IcosΦ = 5I + 4I×1 = 9I
The minimum value of cosΦ is -1, which occurs when the two waves are in opposition (180° out of phase).
So, the minimum intensity of the resulting beam is:
I_min = 5I + 4IcosΦ = 5I + 4I×(-1) = I
Therefore, the maximum and minimum possible intensities in the resulting beam are 9I and I, respectively.
Hence, option (c) is correct.
To find: The maximum and minimum possible intensities in the resulting beam.
Solution:
When two coherent beams of light are superposed, the resultant intensity is given by:
I_r = I_1 + I_2 + 2√(I_1I_2)cosΦ
where I_1 and I_2 are the intensities of the two beams, Φ is the phase difference between them.
Now, in our case, the intensities of the two beams are I and 4I.
Therefore, the resultant intensity is given by:
I_r = I + 4I + 2√(I×4I)cosΦ
I_r = 5I + 4IcosΦ
Maximum and minimum intensities:
The maximum value of cosΦ is +1, which occurs when the two waves are in phase.
So, the maximum intensity of the resulting beam is:
I_max = 5I + 4IcosΦ = 5I + 4I×1 = 9I
The minimum value of cosΦ is -1, which occurs when the two waves are in opposition (180° out of phase).
So, the minimum intensity of the resulting beam is:
I_min = 5I + 4IcosΦ = 5I + 4I×(-1) = I
Therefore, the maximum and minimum possible intensities in the resulting beam are 9I and I, respectively.
Hence, option (c) is correct.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are:a)5I and Ib)5I and 3Ic)9I and Id)9I and 3ICorrect answer is option 'C'. Can you explain this answer?
Question Description
Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are:a)5I and Ib)5I and 3Ic)9I and Id)9I and 3ICorrect answer is option 'C'. 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 coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are:a)5I and Ib)5I and 3Ic)9I and Id)9I and 3ICorrect answer is option 'C'. 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 coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are:a)5I and Ib)5I and 3Ic)9I and Id)9I and 3ICorrect answer is option 'C'. Can you explain this answer?.
Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are:a)5I and Ib)5I and 3Ic)9I and Id)9I and 3ICorrect answer is option 'C'. 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 coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are:a)5I and Ib)5I and 3Ic)9I and Id)9I and 3ICorrect answer is option 'C'. 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 coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are:a)5I and Ib)5I and 3Ic)9I and Id)9I and 3ICorrect answer is option 'C'. Can you explain this answer?.
Solutions for Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are:a)5I and Ib)5I and 3Ic)9I and Id)9I and 3ICorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are:a)5I and Ib)5I and 3Ic)9I and Id)9I and 3ICorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are:a)5I and Ib)5I and 3Ic)9I and Id)9I and 3ICorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are:a)5I and Ib)5I and 3Ic)9I and Id)9I and 3ICorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are:a)5I and Ib)5I and 3Ic)9I and Id)9I and 3ICorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are:a)5I and Ib)5I and 3Ic)9I and Id)9I and 3ICorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
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