NEETPhysicsWave Optics
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 45^ . Reason (R): The refractive index of any transparent medium relative to air is greater than 1, and Brewster's angle is given by i_b = ⁻¹( ) . In the light of the above statements, choose the most a
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, i_b ) is equal to the refractive index of the medium relative to the surrounding medium, so i_b = ⁻¹( ) . Thus, the Reason (R) is correct. For light traveling from air to any transparent medium, the refractive index is strictly greater than 1. Therefore, (i_b) > 1 . Since (45^ ) = 1 and the tangent function is strictly increasing in the interval (0^ , 90^ ) , it follows that i_b > 45^ . The Assertion (A) states that Brewster's angle