Question

The reflected ray is completely polarized for certain angle of incidence in a transparent medium. If the angle of refraction is \(30^\circ\), then the refractive index of the medium is

• A. \(1.5\)
• B. \(1.732\)
• C. \(1.33\)
• D. \(1.414\)
• E. \(1.6\)

Hint:

At Brewster angle: \[ \mu=\tan i_p \quad \text{and} \quad i_p+r=90^\circ \]

Answer 1

The Correct Option is B

At Brewster angle: \[ i_p+r=90^\circ \] Given: \[ r=30^\circ \Rightarrow i_p=60^\circ \] Now, \[ \mu = \tan i_p = \tan 60^\circ = \sqrt{3} = 1.732 \] Hence, \[ \boxed{(B)\ 1.732} \]