JEE Exam > JEE Questions > A light wave is travelling linearly in a medi...
Start Learning for Free
A light wave is travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given: relative permeability of medium μr= 1)
- a)10°
- b)20°
- c)30°
- d)60°
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A light wave is travelling linearly in a medium of dielectric constant...
The total intensity of the incident wave will be reflected back into the same medium when the angle of incidence is equal to the critical angle. The critical angle can be determined using Snell's law.
Snell's law states that n1sinθ1 = n2sinθ2, where n1 and n2 are the refractive indices of the two media and θ1 and θ2 are the angles of incidence and refraction, respectively.
In this case, the incident medium is the medium with dielectric constant 4 (let's call it medium 1) and the refractive index of medium 1 is given by n1 = √(εr) = √4 = 2. The other medium is air, which has a refractive index of n2 = 1.
Let's denote the critical angle as θc. At the critical angle, the refracted angle θ2 becomes 90 degrees (sinθ2 = 1), and we can rewrite Snell's law as:
n1sinθc = n2sin90
2sinθc = 1
sinθc = 1/2
θc = sin^(-1)(1/2)
Using a calculator, we find that sin^(-1)(1/2) is approximately 30 degrees.
Therefore, the angle of incidence for which the total intensity of the incident wave will be reflected back into the same medium is approximately 30 degrees.
Snell's law states that n1sinθ1 = n2sinθ2, where n1 and n2 are the refractive indices of the two media and θ1 and θ2 are the angles of incidence and refraction, respectively.
In this case, the incident medium is the medium with dielectric constant 4 (let's call it medium 1) and the refractive index of medium 1 is given by n1 = √(εr) = √4 = 2. The other medium is air, which has a refractive index of n2 = 1.
Let's denote the critical angle as θc. At the critical angle, the refracted angle θ2 becomes 90 degrees (sinθ2 = 1), and we can rewrite Snell's law as:
n1sinθc = n2sin90
2sinθc = 1
sinθc = 1/2
θc = sin^(-1)(1/2)
Using a calculator, we find that sin^(-1)(1/2) is approximately 30 degrees.
Therefore, the angle of incidence for which the total intensity of the incident wave will be reflected back into the same medium is approximately 30 degrees.
Free Test
FREE
| Start Free Test |
Community Answer
A light wave is travelling linearly in a medium of dielectric constant...
For total internal reflection, i > θC
Taking the sine function on both sides, we get
Permeability,
From (1), sin i > 1/2
⇒ i > 30°, i = 60°
Taking the sine function on both sides, we get
Permeability,
From (1), sin i > 1/2
⇒ i > 30°, i = 60°
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
A light wave is travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given: relative permeability of medium μr= 1)a)10°b)20°c)30°d)60°Correct answer is option 'D'. Can you explain this answer?
Question Description
A light wave is travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given: relative permeability of medium μr= 1)a)10°b)20°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A light wave is travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given: relative permeability of medium μr= 1)a)10°b)20°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A light wave is travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given: relative permeability of medium μr= 1)a)10°b)20°c)30°d)60°Correct answer is option 'D'. Can you explain this answer?.
A light wave is travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given: relative permeability of medium μr= 1)a)10°b)20°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A light wave is travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given: relative permeability of medium μr= 1)a)10°b)20°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A light wave is travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given: relative permeability of medium μr= 1)a)10°b)20°c)30°d)60°Correct answer is option 'D'. Can you explain this answer?.
Solutions for A light wave is travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given: relative permeability of medium μr= 1)a)10°b)20°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A light wave is travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given: relative permeability of medium μr= 1)a)10°b)20°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A light wave is travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given: relative permeability of medium μr= 1)a)10°b)20°c)30°d)60°Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A light wave is travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given: relative permeability of medium μr= 1)a)10°b)20°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A light wave is travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given: relative permeability of medium μr= 1)a)10°b)20°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A light wave is travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given: relative permeability of medium μr= 1)a)10°b)20°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup