The optical path of a monochromatic light is same if it goes through 4.0 cm of glass of 4.5 cm of water. If the refractive index of glass is 1.53, the refractive index of the water is

Question

The optical path of a monochromatic light is same if it goes through 4.0 cm of glass of 4.5 cm of water. If the refractive index of glass is 1.53, the refractive index of the water is (A) 1.30 (B) 1.36 (C) 1.42 (D) 1.46

Tardigrade Admin · Accepted Answer

Optical path, μ x = constant ie, μ1 x 1=μ2 x 2 ⇒ 1.53 × 4=μ2 × 4.5 ⇒ μ2=(1.53 × 4/4.5)=1.36

Q. The optical path of a monochromatic light is same if it goes through $4.0 c m$ of glass of $4.5 c m$ of water. If the refractive index of glass is $1.53$ , the refractive index of the water is

1.30

1.36

1.42

1.46

Optical path, $μx =$ constant
ie, $μ_{1} x_{1} = μ_{2} x_{2}$
$\Rightarrow 1.53 \times 4 = μ_{2} \times 4.5$
$\Rightarrow μ_{2} = \frac{1.53 \times 4}{4.5} = 1.36$

Q. The optical path of a monochromatic light is same if it goes through 4.0cm of glass of 4.5cm of water. If the refractive index of glass is 1.53, the refractive index of the water is