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3 votes
4 answers
643 views

Refraction of light through a slab of variable refractive index

Here I am posting a question of Jee Adv. 2023 based on refraction. A monochromatic light wave is incident normally on a glass slab of thickness 𝑑, as shown in the figure. The refractive index of the ...
Govind Prajapat's user avatar
1 vote
1 answer
71 views

Snell's Law- Extraordinary ray

I applied the snell's law to find the angle of refraction of the Ordinary and Extraordinary ray. And I got the correct answer 3.51. But I know my approach to the question is wrong because I applied ...
Akshat Shrivastava's user avatar
1 vote
0 answers
32 views

Refraction of light - Huygens' Principle

To elucidate the rationale behind the bending of light as it transitions between different mediums, Huygens' principle is predominantly employed. The procedure, as demonstrated in this video (link: ...
Voldemort's user avatar
2 votes
2 answers
130 views

Do Normal Incidence contradicts the definition of refraction?

Professor told our class that if someone wants to define refraction in words, it can be done as the following, The deviation of light from its path when it passes from one medium to another is called ...
user avatar
1 vote
0 answers
23 views

I need to figure out the length of a crystal to move a light beam [closed]

I need to figure out the length of a crystal to move a light beam shining through it. The height is known, and so is the refractive index of the crystal and its length. What I can't figure out is the ...
100xln2's user avatar
  • 119
0 votes
1 answer
62 views

Refraction of light with different wavelengths [closed]

A red light and blue light enter a rectangular glass block normal to its surface at the same time. Strictly speaking, after passing through the block, which pulse exits first? Should I consider their ...
Shreya Gupta's user avatar
1 vote
1 answer
34 views

Why is the time taken for light propagation between two points in anisotropic media independent of $y$?

Background Light propagating in an anisotropic medium does not (in general) take a straight-line path between two points. The propagation time between those points, then, is dependent on the total ...
MomentumEigenstate's user avatar
0 votes
1 answer
342 views

How to derive Fresnel's tangent law?

In this Wikipedia post the $r_p$ Fresnel reflection coefficient is given by: $$r_p = \frac{\tan{(\theta_i - \theta_t)}}{\tan{(\theta_i + \theta_t)}}.$$ How can this be derived from the previous ...
Joe Iddon's user avatar
  • 2,111
1 vote
1 answer
136 views

Is it true to say no refraction takes place when a ray comes along normal drawn to interface?

Many books and websites in our country say that there are two conditions for no refraction of light: If index of Refraction of media on both sides is same. If the ray of light falls normally on the ...
Shinnaaan's user avatar
  • 1,357
0 votes
2 answers
58 views

On a minima problem in optics

I have trodding through a calculus textbook, more specifically — through a chapter on the methods of obtaining the extrema of functions using derivatives, including certain problems in optics (Fermat’...
Barbatulka's user avatar
3 votes
2 answers
353 views

Question about a specific geometrical optics/Fermat's principle problem and it's given solution

I'm studying the following question P119 On a spherical planet, the refractive index of the atmosphere, as a function of altitude $h$ above the surface, varies according to the formula $$n(h) = \frac{...
user35013's user avatar
0 votes
1 answer
323 views

Behavior of a laser beam in a spherically symmetric medium [closed]

A laser beam propagates through a spherically symmetric medium. The refractive index varies with the distance from the centre of symmetry $r$ according to the equation: $$ \mu=\mu_0\frac{r}{r_0} $$ ...
TheSmartestNoob's user avatar
1 vote
1 answer
171 views

Appearance of underwater light source to an observer [closed]

I came across this question A lightsource of diameter 10cm is placed 2m underneath the surface of a pool, a person 5m away from the edge of the pool saw a circle of light emitting from the lamp. ...
tangolin's user avatar
  • 133
0 votes
0 answers
93 views

What is the angle of incidence in the following exercise?

Would like to verify which is the incident ray of light in this exercise According to provided solution the incidence ray is the top one and the correct angle of incidence is equals 60 degree (90 - 30 ...
szydan's user avatar
  • 101
0 votes
1 answer
53 views

How can the image be any size orher than the object?

Am image is just the set of images of all the points on the thing. The complete image has to be the same size as the object if there is exactly one image for each point on the object forming it. So an ...
user459284's user avatar
1 vote
2 answers
101 views

How can I prove that $T_\pi = 0$ at Brewster's angle? [closed]

So, I've been trying to prove this with pure trigonometry just for fun, without using the fact that $R + T = 1$, but no success. Here's my last try, using a combination of both facts that the angles ...
Italo Marinho's user avatar
2 votes
0 answers
49 views

Shouldn't a part of the ray have to travel $\frac{\lambda_2}{2}$ extra path in the medium $n_2$?

Basically, my teacher had given the class a question regarding thin film interference that, there is a medium with refractive index $n_1$ below that there is another medium with thickness $t$ with ...
Koustubh Jain's user avatar
2 votes
1 answer
277 views

What happens to light ray moving from one transparent medium to other at the angle of incidence $90^{\circ}$?

I think when a light ray moves from one transparent medium towards other at $90^{\circ}$ incidence angle,it will not suffer refraction but continue to move indefinitely in the initial medium. But, if ...
Shogo Makishima's user avatar
1 vote
0 answers
85 views

Exercise about refraction [closed]

I'm a highschooler and I'm trying to self-study the part of the program about optics. I'm having troubles understanding how to solve the following exercise (I'm using an italian book, hence the ...
Luke__'s user avatar
  • 540
3 votes
1 answer
201 views

(How) can one use the concept of apparent depth to solve this ray-refraction problem?

I was solving the following question: An observer can see through a small hole on the side of a jar (radius 15 cm) at a point at height of 15 cm from the bottom (see figure). The hole is at a height ...
Ayush Kshitij's user avatar
2 votes
1 answer
103 views

Refraction of light but slightly twisted

This is the question: (I haven't bothered to type it because anyway I needed to put the picture of the circles.) So, now what I did first was basic stuff and found that the first angle of refraction ...
Dusty_Wanderer's user avatar
0 votes
2 answers
112 views

Understanding Snells Law in seismic waves

This is a homework question, Ill say it upfront. The Problem is given so: Earthquake causes a wave that meets a boundary between two rock substances. Incoming wave speed is 25 m/s and angle is 9 ...
Jeekim's user avatar
  • 103
0 votes
1 answer
32 views

Evaluating whether a surface apperance is light or dark for the case incident light is in normal direction

The Question: The system in the figure is illuminated in the normal direction by wide monochromotic light source in the first environment. Explain in detail the light and dark condition of the ...
Deniz Manas's user avatar
0 votes
1 answer
148 views

Snell law with two unknowns [closed]

I having troubles with a basic geometric optics exercise which says: The image shows a glass block immersed in water ($n_\text{water}=1,33$). What it’s the refraction index $n_\text{glass}$ of the ...
Caeta's user avatar
  • 179
0 votes
1 answer
53 views

Percentage of light less than the critical angle? [closed]

I am stuck on the following question: "Calculate the fraction of the light incident on the surface with an angle less than the critical angle for total internal reflection" The context of ...
papercut's user avatar
0 votes
0 answers
11 views

Why does a qualitative analysis of this question about refraction differ from the answer found through the application of the equation?

Suppose that an object O is in glass ($ \mu $ = 1.5), 6.5 cm from a spherical glass-air interface (from P in Figure 1) where glass is on the concave side and air is on the convex side. In the diagram ...
Meripadhai's user avatar
0 votes
1 answer
341 views

Focal length of lens combination [closed]

The adjacent figure shows a thin plano-convex lens of refractive index $μ_1$ and a thin plano-concave lens of refractive index $μ_2$, both having same radius of curvature $R$ of their curved surfaces. ...
Shaurya Goyal's user avatar
2 votes
1 answer
3k views

Derivation for optical path length and the origins of the formula

So I've learnt that the formula for optical path length is $OPL = ns$, where $n$ is refractive index of the medium and $s$ is its geometrical length, the problem is i cant really get around this ...
Critac Arpol's user avatar
-3 votes
1 answer
53 views

Problem involving lenses and mirrors [closed]

A biconvex lens of focal length 15 cm is in front of a plane mirror. The distance between the lens and the mirror is 10 cm. A small object is kept at a distance of 30 cm from the lens. The final image ...
Musicmaniac's user avatar
0 votes
2 answers
260 views

Apparent depth WITH viewing angle [closed]

So i did one physics problem where I should find apparent depth of 3m deep pool(index between liquid in pool and air is (√7)/2) and we are looking at pool from 30° angle. I go to our favorite friend ...
Jon Nezbit's user avatar

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