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Statement-1 : Two coherent point sources of light having nonzero phase difference are separated by small distance. Then on the perpendicular bisector of line segment joining both the point sources, constructive interference cannot be obtained.
Statement-2 : For two waves from coherent point sources to interfere constructively at a point, the magnitude of their phase difference at that point must be 2mp ( where m is a nonnegative integer) .
- a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
- b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
- c)Statement-1 is True, Statement-2 is False
- d)Statement-1 is False, Statement-2 is True.
Correct answer is option 'D'. Can you explain this answer?
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Statement-1 : Two coherent point sources of light having nonzero phase...
Statement-1: Two coherent point sources of light having nonzero phase difference are separated by a small distance. Then on the perpendicular bisector of the line segment joining both the point sources, constructive interference cannot be obtained.
Statement-2: For two waves from coherent point sources to interfere constructively at a point, the magnitude of their phase difference at that point must be 2mp (where m is a nonnegative integer).
Explanation:
To understand the relationship between the two statements, let's analyze each statement individually.
Statement-1 explains that when two coherent point sources of light with a nonzero phase difference are separated by a small distance, constructive interference cannot be obtained on the perpendicular bisector of the line segment joining the sources.
This statement is true because constructive interference occurs when the path difference between the two waves is an integer multiple of the wavelength. On the perpendicular bisector, the path difference between the two waves will always be the same due to the symmetry of the setup. Therefore, if the phase difference between the two waves is not an integer multiple of the wavelength, constructive interference cannot be achieved.
Statement-2 states that for two waves from coherent point sources to interfere constructively, the magnitude of their phase difference at that point must be 2mp, where m is a nonnegative integer.
This statement is also true. Constructive interference occurs when the phase difference between two waves is a multiple of 2π (360 degrees). In other words, the waves must be in-phase or have a phase difference of 2mp, where m is an integer. This condition ensures that the crests and troughs of the waves align, resulting in constructive interference.
Now, let's analyze the relationship between the two statements.
Statement-2 provides a correct explanation for Statement-1. It explains that for constructive interference to occur, the phase difference between the waves must be a multiple of 2mp. This supports Statement-1, which states that constructive interference cannot be obtained on the perpendicular bisector when the phase difference is nonzero. Therefore, option (A) is the correct answer.
In conclusion, Statement-1 is true, Statement-2 is true, and Statement-2 provides a correct explanation for Statement-1.
Statement-2: For two waves from coherent point sources to interfere constructively at a point, the magnitude of their phase difference at that point must be 2mp (where m is a nonnegative integer).
Explanation:
To understand the relationship between the two statements, let's analyze each statement individually.
Statement-1 explains that when two coherent point sources of light with a nonzero phase difference are separated by a small distance, constructive interference cannot be obtained on the perpendicular bisector of the line segment joining the sources.
This statement is true because constructive interference occurs when the path difference between the two waves is an integer multiple of the wavelength. On the perpendicular bisector, the path difference between the two waves will always be the same due to the symmetry of the setup. Therefore, if the phase difference between the two waves is not an integer multiple of the wavelength, constructive interference cannot be achieved.
Statement-2 states that for two waves from coherent point sources to interfere constructively, the magnitude of their phase difference at that point must be 2mp, where m is a nonnegative integer.
This statement is also true. Constructive interference occurs when the phase difference between two waves is a multiple of 2π (360 degrees). In other words, the waves must be in-phase or have a phase difference of 2mp, where m is an integer. This condition ensures that the crests and troughs of the waves align, resulting in constructive interference.
Now, let's analyze the relationship between the two statements.
Statement-2 provides a correct explanation for Statement-1. It explains that for constructive interference to occur, the phase difference between the waves must be a multiple of 2mp. This supports Statement-1, which states that constructive interference cannot be obtained on the perpendicular bisector when the phase difference is nonzero. Therefore, option (A) is the correct answer.
In conclusion, Statement-1 is true, Statement-2 is true, and Statement-2 provides a correct explanation for Statement-1.
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Statement-1 : Two coherent point sources of light having nonzero phase...
Becaz interfernce occur only when phase diff = 0.
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Statement-1 : Two coherent point sources of light having nonzero phase difference are separated by small distance. Then on the perpendicular bisector of line segment joining both the point sources, constructive interference cannot be obtained.Statement-2 : For two waves from coherent point sources to interfere constructively at a point, the magnitude of their phase difference at that point must be 2mp ( where m is a nonnegative integer) .a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is True.Correct answer is option 'D'. Can you explain this answer?
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Statement-1 : Two coherent point sources of light having nonzero phase difference are separated by small distance. Then on the perpendicular bisector of line segment joining both the point sources, constructive interference cannot be obtained.Statement-2 : For two waves from coherent point sources to interfere constructively at a point, the magnitude of their phase difference at that point must be 2mp ( where m is a nonnegative integer) .a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is True.Correct answer is option 'D'. 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 Statement-1 : Two coherent point sources of light having nonzero phase difference are separated by small distance. Then on the perpendicular bisector of line segment joining both the point sources, constructive interference cannot be obtained.Statement-2 : For two waves from coherent point sources to interfere constructively at a point, the magnitude of their phase difference at that point must be 2mp ( where m is a nonnegative integer) .a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is True.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement-1 : Two coherent point sources of light having nonzero phase difference are separated by small distance. Then on the perpendicular bisector of line segment joining both the point sources, constructive interference cannot be obtained.Statement-2 : For two waves from coherent point sources to interfere constructively at a point, the magnitude of their phase difference at that point must be 2mp ( where m is a nonnegative integer) .a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is True.Correct answer is option 'D'. Can you explain this answer?.
Statement-1 : Two coherent point sources of light having nonzero phase difference are separated by small distance. Then on the perpendicular bisector of line segment joining both the point sources, constructive interference cannot be obtained.Statement-2 : For two waves from coherent point sources to interfere constructively at a point, the magnitude of their phase difference at that point must be 2mp ( where m is a nonnegative integer) .a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is True.Correct answer is option 'D'. 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 Statement-1 : Two coherent point sources of light having nonzero phase difference are separated by small distance. Then on the perpendicular bisector of line segment joining both the point sources, constructive interference cannot be obtained.Statement-2 : For two waves from coherent point sources to interfere constructively at a point, the magnitude of their phase difference at that point must be 2mp ( where m is a nonnegative integer) .a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is True.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement-1 : Two coherent point sources of light having nonzero phase difference are separated by small distance. Then on the perpendicular bisector of line segment joining both the point sources, constructive interference cannot be obtained.Statement-2 : For two waves from coherent point sources to interfere constructively at a point, the magnitude of their phase difference at that point must be 2mp ( where m is a nonnegative integer) .a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is True.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Statement-1 : Two coherent point sources of light having nonzero phase difference are separated by small distance. Then on the perpendicular bisector of line segment joining both the point sources, constructive interference cannot be obtained.Statement-2 : For two waves from coherent point sources to interfere constructively at a point, the magnitude of their phase difference at that point must be 2mp ( where m is a nonnegative integer) .a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is True.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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ample number of questions to practice Statement-1 : Two coherent point sources of light having nonzero phase difference are separated by small distance. Then on the perpendicular bisector of line segment joining both the point sources, constructive interference cannot be obtained.Statement-2 : For two waves from coherent point sources to interfere constructively at a point, the magnitude of their phase difference at that point must be 2mp ( where m is a nonnegative integer) .a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is True.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
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