The wavelength of light, while it is passing through water is 540 nm. The refractive index of water is ?. The wavelength of the same light when it is passing through a transparent medium having refractive

Question

The wavelength of light, while it is passing through water is 540 nm. The refractive index of water is $\frac{4}{3}$ . The wavelength of the same light when it is passing through a transparent medium having refractive index of $\frac{3}{2}$ is ______ nm. [2026]

Smart Achievers · Accepted Answer

(3)

$\begin{matrix} \frac{μ_{1}}{μ_{2}} - \frac{v_{2}}{v_{1}} = \frac{λ_{2}}{λ_{1}} | \end{matrix}$ $, v = f λ$

$\frac{μ_{1}}{μ_{2}} = \frac{λ_{2}}{λ_{1}}$

$\frac{μ_{B}}{3 / 2} = \frac{λ}{540}$

$λ = (\frac{4 \times 2 \times 540}{3 \times 3})$

$λ = 480 nm$

Solution

Q.
The wavelength of light, while it is passing through water is 540 nm. The refractive index of water is $\frac{4}{3}$ . The wavelength of the same light when it is passing through a transparent medium having refractive index of $\frac{3}{2}$ is ______ nm. [2026]

1 840

2 380

3 480

4 540

Ans.
(3)

$\begin{matrix} \frac{μ_{1}}{μ_{2}} - \frac{v_{2}}{v_{1}} = \frac{λ_{2}}{λ_{1}} | \end{matrix}$ $, v = f λ$

$\frac{μ_{1}}{μ_{2}} = \frac{λ_{2}}{λ_{1}}$

$\frac{μ_{B}}{3 / 2} = \frac{λ}{540}$

$λ = (\frac{4 \times 2 \times 540}{3 \times 3})$

$λ = 480 nm$

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