NEET
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- Wave Optics
NEET · Physics · Wave Optics
Given below are two statements: one is labelled as Assertion (A)...
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): For light traveling from air to any transparent medium, the Brewster's angle is always less than .
Reason (R): The refractive index of any transparent medium relative to air is greater than 1, and Brewster's angle is given by .
In the light of the above statements, choose the most appropriate answer from the options given below.
Assertion (A): For light traveling from air to any transparent medium, the Brewster's angle is always less than .
Reason (R): The refractive index of any transparent medium relative to air is greater than 1, and Brewster's angle is given by .
In the light of the above statements, choose the most appropriate answer from the options given below.
Options
- ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
- BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
- C(A) is correct but (R) is not correct
- D(A) is not correct but (R) is correct
Correct answer
D. (A) is not correct but (R) is correct
Step-by-step solution
According to Brewster's law, the tangent of the polarizing angle (Brewster's angle, ) is equal to the refractive index of the medium relative to the surrounding medium, so . Thus, the Reason (R) is correct.
For light traveling from air to any transparent medium, the refractive index is strictly greater than 1. Therefore, .
Since and the tangent function is strictly increasing in the interval , it follows that .
The Assertion (A) states that Brewster's angle is always less than , which contradicts the derived result. Hence, the Assertion (A) is not correct.
Answer: (A) is not correct but (R) is correct
For light traveling from air to any transparent medium, the refractive index is strictly greater than 1. Therefore, .
Since and the tangent function is strictly increasing in the interval , it follows that .
The Assertion (A) states that Brewster's angle is always less than , which contradicts the derived result. Hence, the Assertion (A) is not correct.
Answer: (A) is not correct but (R) is correct