Directions : In the following questions, A statement of Assertion(A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Fringes of interference pattern produced by blue light are narrower than that produced by red light.Reason (R): In Youngandrsquo;s double slit experiment, fringe width= andlambda;D/da)A is true but R is falseb)Both A and R are true but R is NOT the correct explanation of Ac)Both A and R are true and R is the correct explanation of Ad)A is false and R is trueCorrect answer is option 'C'. Can you explain this answer?

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Directions : In the following questions, A statement of Assertion(A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Fringes of interference pattern produced by blue light are narrower than that produced by red light.

Reason (R): In Young’s double slit experiment, fringe width= λD/d

a)
A is true but R is false
b)
Both A and R are true but R is NOT the correct explanation of A
c)
Both A and R are true and R is the correct explanation of A
d)
A is false and R is true

Correct answer is option 'C'. Can you explain this answer?

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Assertion & Reason Test: Wave Optics

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Directions : In the following questions, A statement of Assertion(A) i...

Fringes of interference pattern produced by blue light are narrower than that produced by red light. The assertion is true.

Fringe width = λD/d. Since blue light has a wavelength smaller than that of red light, blue light produces narrower fringes. So, reason is also true and explains the assertion.

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Directions : In the following questions, A statement of Assertion(A) i...

Explanation:

The given assertion and reason are related to the phenomenon of interference of light. The interference pattern is observed when two or more waves of light superimpose on each other. In the given statement, we need to determine the correctness of the assertion and reason and the relationship between them.

Assertion (A): Fringes of interference pattern produced by blue light are narrower than that produced by red light.

This assertion is true. The width of the fringes in the interference pattern depends on the wavelength of light used. The fringe width is given by the formula λD/d, where λ is the wavelength of light, D is the distance between the slits and the screen, and d is the distance between the slits. As the wavelength of blue light is shorter than that of red light, the fringes produced by blue light will be narrower.

Reason (R): In Young’s double-slit experiment, fringe width = λD/d

This reason is also true. The fringe width in the interference pattern produced by two coherent sources (such as two slits in Young’s double-slit experiment) is given by the formula λD/d. This formula can be derived using the basic principles of wave optics.

Relationship:

The assertion and reason are both true, but the reason is not the correct explanation of the assertion. The reason only provides the formula for calculating the fringe width, but it does not explain why the fringes produced by blue light are narrower than those produced by red light. Therefore, option (C) is the correct choice.

Conclusion:

In conclusion, the assertion and reason given in the statement are both true, but the reason is not the correct explanation of the assertion. The width of the fringes in the interference pattern depends on the wavelength of light used, and this can be calculated using the formula λD/d.

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Directions : In the following questions, A statement of Assertion(A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Fringes of interference pattern produced by blue light are narrower than that produced by red light.Reason (R): In Young’s double slit experiment, fringe width= λD/da)A is true but R is falseb)Both A and R are true but R is NOT the correct explanation of Ac)Both A and R are true and R is the correct explanation of Ad)A is false and R is trueCorrect answer is option 'C'. Can you explain this answer?

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Directions : In the following questions, A statement of Assertion(A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Fringes of interference pattern produced by blue light are narrower than that produced by red light.Reason (R): In Young’s double slit experiment, fringe width= λD/da)A is true but R is falseb)Both A and R are true but R is NOT the correct explanation of Ac)Both A and R are true and R is the correct explanation of Ad)A is false and R is trueCorrect answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Directions : In the following questions, A statement of Assertion(A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Fringes of interference pattern produced by blue light are narrower than that produced by red light.Reason (R): In Young’s double slit experiment, fringe width= λD/da)A is true but R is falseb)Both A and R are true but R is NOT the correct explanation of Ac)Both A and R are true and R is the correct explanation of Ad)A is false and R is trueCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, A statement of Assertion(A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Fringes of interference pattern produced by blue light are narrower than that produced by red light.Reason (R): In Young’s double slit experiment, fringe width= λD/da)A is true but R is falseb)Both A and R are true but R is NOT the correct explanation of Ac)Both A and R are true and R is the correct explanation of Ad)A is false and R is trueCorrect answer is option 'C'. Can you explain this answer?.

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