
Find the length of the optical path two medium in contact of length and of refractive indices and respectively:
(A)
(B)
(C)
(D)
Answer
487.2k+ views
1 likes
Hint:In this question use the concept of the optical path as the optical path length is the product length of the path which is followed by the light through a given system, the refractive index through which the light passes.
Complete step by step answer:
As we know that the optical path length is the product length of the path which is followed by the light through a given system, the refractive index through which the light passes. The optical path length allows us to find out the phase of the light will be at any point. And it is also called the optical distance.
The index of refraction is known as the refractive index, and which is the measure of the bending of a ray of light when passing through from one medium into the other medium. The refractive index is equal to the velocity of light of the wavelength in empty space divided by its velocity in a substance.
Considering the given values, we are given the medium of length and and the refractive indices of the medium are and respectively,
Calculate the optical path length,
Calculate the optical path length of the medium and Substitute the values in the formula
The optical path length of medium is .
Calculate the optical path length of the medium and Substitute the values in the formula
The optical path length of medium is .
So, the total path length of the system is the sum of the optical path length of medium and the optical path length of .
Let us denote the total path length by .
Calculate the total path length,
Therefore, the total path length of the system of two mediums is .
Thus, the correct option is (A).
Note:Do not be confused between actual path length and the optical path length. The actual path length is the actual distance travelled by the light and the optical path is dependent on the refractive index of the material.
Complete step by step answer:
As we know that the optical path length is the product length of the path which is followed by the light through a given system, the refractive index through which the light passes. The optical path length allows us to find out the phase of the light will be at any point. And it is also called the optical distance.
The index of refraction is known as the refractive index, and which is the measure of the bending of a ray of light when passing through from one medium into the other medium. The refractive index is equal to the velocity of light of the wavelength in empty space divided by its velocity in a substance.
Considering the given values, we are given the medium of length
Calculate the optical path length,
Calculate the optical path length of the
The optical path length of
Calculate the optical path length of the
The optical path length of
So, the total path length of the system is the sum of the optical path length of
Let us denote the total path length by
Calculate the total path length,
Therefore, the total path length of the system of two mediums is
Thus, the correct option is (A).
Note:Do not be confused between actual path length and the optical path length. The actual path length is the actual distance travelled by the light and the optical path is dependent on the refractive index of the material.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Class 12 Question and Answer - Your Ultimate Solutions Guide

Master Class 12 Economics: Engaging Questions & Answers for Success

Trending doubts
Give 10 examples of unisexual and bisexual flowers

Draw a labelled sketch of the human eye class 12 physics CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Differentiate between insitu conservation and exsitu class 12 biology CBSE

What are the major means of transport Explain each class 12 social science CBSE

Draw a diagram of a flower and name the parts class 12 biology ICSE
