The light takes in travelling a distance of 500 m in water. Given that μfor water is 4 / 3 and

Name: Problem 30, Chapter 23: Master Resource Book in JEE Main Physics
Uploaded: 2022-02-28T12:06:59-08:00
Duration: 1 min 13 s
Channel: Prem Bijarniya
Description: The light takes in travelling a distance of 500 m in water. Given that μfor water is 4 / 3 and the velocity of light in vacuum is 3 ×10^10 cms^-1 . Calculate equivalent optical path. (a) 566.64 m (b) 666.64 m (c) 586.45 m (d) 576.64 m

step 1 For this question we know that Mue equals to velocity of light in vacuum divided by velocity of

Question

The light takes in travelling a distance of $500 \mathrm{~m}$ in water. Given that $\mu$ for water is $4 / 3$ and the velocity of light in vacuum is $3 \times 10^{10} \mathrm{cms}^{-1} .$ Calculate equivalent optical path. (a) $566.64 \mathrm{~m}$ (b) $666.64 \mathrm{~m}$ (c) $586.45 \mathrm{~m}$ (d) $576.64 \mathrm{~m}$

   The light takes in travelling a distance of $500 \mathrm{~m}$ in water. Given that $\mu$ for water is $4 / 3$ and the velocity of light in vacuum is $3 \times 10^{10} \mathrm{cms}^{-1} .$ Calculate equivalent optical path.
(a) $566.64 \mathrm{~m}$
(b) $666.64 \mathrm{~m}$
(c) $586.45 \mathrm{~m}$
(d) $576.64 \mathrm{~m}$

Master Resource Book in JEE Main Physics

D. B. Singh 1st Edition

Chapter 23, Problem 30

Instant Answer

Solved by Expert Prem Bijarniya

02/28/2022

Step 1

We know that the refractive index (μ) is the ratio of the velocity of light in vacuum (c) to the velocity of light in a medium (v). So, we can write this as: \[μ = \frac{c}{v}\] Given that μ for water is 4/3 and the velocity of light in vacuum is \(3 \times Show more…

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The light takes in travelling a distance of $500 \mathrm{~m}$ in water. Given that $\mu$ for water is $4 / 3$ and the velocity of light in vacuum is $3 \times 10^{10} \mathrm{cms}^{-1} .$ Calculate equivalent optical path. (a) $566.64 \mathrm{~m}$ (b) $666.64 \mathrm{~m}$ (c) $586.45 \mathrm{~m}$ (d) $576.64 \mathrm{~m}$

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Key Concepts

Optical Path Length

Optical path length combines the actual geometric distance traveled by light and the optical properties of the medium through which it travels. It is calculated by multiplying the physical distance with the medium’s refractive index and is important in understanding phase changes and interference phenomena in optical systems.

Refractive Index

The refractive index is a measure of how much the speed of light is reduced in a given medium compared to its speed in vacuum. It plays a crucial role in determining the bending of light, optical path length, and the overall behavior of light as it propagates through various materials.

Speed of Light

The speed of light in vacuum is a fundamental physical constant, and its variation in different media is determined by the refractive index of those media. Understanding this concept is essential for calculations involving the time light takes to travel a given distance and how optical systems function.

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