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): A diamond of refractive index √6 is immersed in a liquid of refractive index √3 . If light travels from diamond to liquid, total internal reflection will take place when angle of incidence is 30°.Reason (R): µ = 1/sin C, where µ is the refractive index of diamond with respect to the liquida)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. 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): A diamond of refractive index √6 is immersed in a liquid of refractive index √3 . If light travels from diamond to liquid, total internal reflection will take place when angle of incidence is 30°.

Reason (R): µ = 1/sin C, where µ is the refractive index of diamond with respect to the liquid

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

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

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Assertion & Reason Test: Ray Optics & Optical Instruments - 1

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

Refractive index of diamond with respect to the liquid is √6 / √3 = √2 So, the critical angle for the diamond-liquid pair of media is sin–1(1/ √2 ) = 45°.

For total internal reflection, angle of incidence should be greater that critical angle.

Since angle of incidence is 30°, total internal reflection cannot take place.

So, the assertion is false. But the reason is true.

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

Assertion (A): A diamond of refractive index √6 is immersed in a liquid of refractive index √3. If light travels from diamond to liquid, total internal reflection will take place when the angle of incidence is 30°.

Reason (R): µ = 1/sin C, where µ is the refractive index of diamond with respect to the liquid.

Explanation:
To understand this statement, let's analyze the concept of total internal reflection and the relationship between refractive index and the critical angle.

Total Internal Reflection:
Total internal reflection occurs when light travels from a medium with a higher refractive index to a medium with a lower refractive index, and the angle of incidence is greater than the critical angle. The critical angle is the angle of incidence at which the refracted ray is at an angle of 90° with the normal.

Refractive Index:
The refractive index (µ) of a medium is a measure of how much light slows down or bends as it passes through the medium. It is defined as the ratio of the speed of light in a vacuum (c) to the speed of light in the medium (v): µ = c/v.

Critical Angle:
The critical angle (C) is the minimum angle of incidence at which total internal reflection occurs. It can be calculated using the formula: C = sin^(-1)(1/µ).

Analysis:
In this scenario, the refractive index of the diamond (µ_diamond) is √6, and the refractive index of the liquid (µ_liquid) is √3. The critical angle for total internal reflection to occur from diamond to liquid can be calculated using the formula: C = sin^(-1)(1/µ).

Substituting the values, we have: C = sin^(-1)(1/√6).

Now let's consider the angle of incidence given in the assertion, which is 30°. If the angle of incidence is less than the critical angle (30° < c),="" there="" will="" be="" refraction="" instead="" of="" total="" internal="" />

Conclusion:
Based on the analysis, we can conclude that the assertion is false. The reason provided is true, as the refractive index of a medium is indeed defined as µ = 1/sin C. However, the statement in the assertion regarding the occurrence of total internal reflection at an angle of incidence of 30° is false.

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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): A diamond of refractive index √6 is immersed in a liquid of refractive index √3 . If light travels from diamond to liquid, total internal reflection will take place when angle of incidence is 30°.Reason (R): µ = 1/sin C, where µ is the refractive index of diamond with respect to the liquida)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. 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): A diamond of refractive index √6 is immersed in a liquid of refractive index √3 . If light travels from diamond to liquid, total internal reflection will take place when angle of incidence is 30°.Reason (R): µ = 1/sin C, where µ is the refractive index of diamond with respect to the liquida)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. 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): A diamond of refractive index √6 is immersed in a liquid of refractive index √3 . If light travels from diamond to liquid, total internal reflection will take place when angle of incidence is 30°.Reason (R): µ = 1/sin C, where µ is the refractive index of diamond with respect to the liquida)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. 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): A diamond of refractive index √6 is immersed in a liquid of refractive index √3 . If light travels from diamond to liquid, total internal reflection will take place when angle of incidence is 30°.Reason (R): µ = 1/sin C, where µ is the refractive index of diamond with respect to the liquida)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer?.

Solutions 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): A diamond of refractive index √6 is immersed in a liquid of refractive index √3 . If light travels from diamond to liquid, total internal reflection will take place when angle of incidence is 30°.Reason (R): µ = 1/sin C, where µ is the refractive index of diamond with respect to the liquida)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.

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