The ratio of thickness of plates of two transparent media A and B is 6:4 . If light takes equal time in passing through them, then the refractive index of medium B with respect to medium A will be:

Question

The ratio of thickness of plates of two transparent media A and B is 6:4 . If light takes equal time in passing through them, then the refractive index of medium B with respect to medium A will be: (A) 1.4 (B) 1.5 (C) 1.75 (D) 1.33

Tardigrade Admin · Accepted Answer

Time taken by light to travel distance x through a medium of refractive index μ is t=(μ x/c)⇒ (μ B/μ A)=(xA/xB)=(6/4)⇒ Aμ B=(3/2)=1.5

Q. The ratio of thickness of plates of two transparent media $A$ and $B$ is $6 : 4$ . If light takes equal time in passing through them, then the refractive index of medium $B$ with respect to medium $A$ will be:

$1.4$

$1.5$

$1.75$

$1.33$

Time taken by light to travel distance $x$ through a medium of refractive index $μ$ is
$t = \frac{μx}{c} \Rightarrow \frac{μ _{B}}{μ _{A}} = \frac{x _{A}}{x _{B}} = \frac{6}{4} \Rightarrow_{A} μ_{B} = \frac{3}{2} = 1.5$

Q. The ratio of thickness of plates of two transparent media A and B is 6:4 . If light takes equal time in passing through them, then the refractive index of medium B with respect to medium A will be:

1.4

1.5

1.75

1.33