In a vessel two insoluble liquids are filled as shown in the figure. The effective refractive index of the combination for normal view is

Question

In a vessel two insoluble liquids are filled as shown in the figure. The effective refractive index of the combination for normal view is (A) 1.33 (B) 1.5 (C) 1.67 (D) 1.4

Tardigrade Admin · Accepted Answer

d APP =( d 1/μ1)+( d 2/μ2) =( d + d 2/ v eff) ⇒ veff=(d1+d2/(d1)μ1+(d2)μ2

Q. In a vessel two insoluble liquids are filled as shown in the figure. The effective refractive index of the combination for normal view is

1.33

1.5

1.67

1.4

$d_{A PP} = \frac{d _{1}}{μ _{1}} + \frac{d _{2}}{μ _{2}}$
$= \frac{d + d _{2}}{v _{e ff}}$
$\Rightarrow v_{e ff} = \frac{d _{1} + d _{2}}{\frac{d _{1}}{μ _{1}} + \frac{d _{2}}{μ _{2}}}$

Q. In a vessel two insoluble liquids are filled as shown in the figure. The effective refractive index of the combination for normal view is

1.33

1.5

1.67

1.4

dAPP​=μ1​d1​​+μ2​d2​​ =veff​d+d2​​ ⇒veff​=μ1​d1​​+μ2​d2​​d1​+d2​​

$d_{A PP} = \frac{d _{1}}{μ _{1}} + \frac{d _{2}}{μ _{2}}$
$= \frac{d + d _{2}}{v _{e ff}}$
$\Rightarrow v_{e ff} = \frac{d _{1} + d _{2}}{\frac{d _{1}}{μ _{1}} + \frac{d _{2}}{μ _{2}}}$