All Questions
Tagged with refraction homework-and-exercises
95
questions
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 ...
- 109
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 ...
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: ...
- 11
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 ...
user380777
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 ...
- 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 ...
- 13
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 ...
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 ...
- 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 ...
- 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’...
- 101
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
$$n(h) = \frac{...
- 83
0
votes
1
answer
323
views
Behavior of a laser beam in a spherically symmetric medium [closed]
A laser beam propagates through a spherically symmetric medium. The refractive index varies with the distance from the centre of symmetry $r$ according to the equation:
$$
\mu=\mu_0\frac{r}{r_0}
$$
...
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.
...
- 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 ...
- 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 ...
- 51
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 ...
- 103
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 ...
- 296
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 ...
- 227
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 ...
- 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 ...
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 ...
- 186
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 ...
- 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 ...
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 ...
- 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 ...
- 1
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 ...
- 363
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. ...
- 149
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 ...
- 21
-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 ...
- 47
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 ...
- 103
0
votes
1
answer
67
views
Optical shift in a view from above
In the following case, two objects are moving to each other from two different media:
Apparently, the distance between the two, at this moment, is not the sum of $6$ and $0.8$, but involves dividing ...
- 256
0
votes
1
answer
451
views
Optical path followed by a light ray in a medium with non-uniform refractive index
I'm trying to deduce the intensity distribution resulting from the interference of reflected and transmitted light in a medium with a non-uniform refractive index, as shown in the image below. The ...
- 580
2
votes
1
answer
909
views
How to graphically determine equivalent focal length of two thin lenses?
Suppose we have the schematic above. The first lens has a focal length of 80mm and the second one has a focal length of 60mm, and both are biconvex. My job is to determine, graphically the equivalent ...
- 637
0
votes
2
answers
5k
views
Which of the following phenomena are responsible for rainbows?
Which of the following phenomena of light are responsible for the formation of a rainbow?
1) reflection, refraction, dispersion
2) refraction, dispersion, total internal reflection
3) ...
- 139
1
vote
2
answers
5k
views
Error propagation in sine
Having little experience teaching uncertainties and error propagation to high school students I am learning a lot of new things this year. One thing in the textbook we use states that the uncertainty ...
- 239
4
votes
1
answer
62
views
Path of sound in ocean where sound speed varies linearly with depth
In an ocean, described with $x-y$ Cartesian coordinates where $y=0$ on the sea bed, the sound speed varies linearly with $y$:
$$v(y)=c+by$$
A textbook says that, if sound wave is emitted on the sea ...
- 203
1
vote
1
answer
551
views
Refractive index and optical fibre question
This is an A level AQA question:
A signal is to be transmitted along an optical fibre of length 1200m. The signal consists of square pulses of white light and this is to be transmitted along the ...
- 111
0
votes
1
answer
611
views
Formation of a second image due to reflection at a boundary
To determine the refractive index of a transparent plate of glass, a
microscope is first focused on a tiny scratch in the upper surface,
and the barrel position is recorded. Upon further lowering ...
- 1,307
0
votes
0
answers
118
views
Bending of light Ray in radially varying refractive index [duplicate]
If light passes near a massive object, the gravitational interaction causes a bending of the ray. This can be thought of as happening due to a change in the effective refrative index of the medium ...
0
votes
3
answers
2k
views
Dependence of lens power on the refractive index of the medium
How does the power of a lens depend on the refractive index of the surrounding medium?
- 39
0
votes
2
answers
406
views
Confusion over Snell's law [duplicate]
Does the angle of refraction always have $n_2$ as its refractive index? As far as I know, $$\frac{\sin\theta_i}{\sin\theta_r} = \frac{n_2}{n_1}.$$
So I got this question here:
Calculate the ...
- 866
0
votes
1
answer
57
views
A Physics Problem Involving Refraction [closed]
I'm not sure how to solve this problem. I've considered using Malus' law, but then I don't know what theta is, preventing me from solving this problem.
- 23
0
votes
2
answers
466
views
Difficulty in understanding an optics question
So here's the question:-
A thin film of transparent material of refractive index $1.52$ and thickness $0.42\ \rm \mu m$ forms a thin coating on glass of refractive index $1.60$. It is viewed by ...
user184598
0
votes
1
answer
820
views
Looking through a glass hemisphere [closed]
I've found the following question on IsaacPhysics.org . I've been working on it for a couple of hours but I cannot figure it out.
A looking glass is used to read an ancient scroll. This lens has a ...
- 23
0
votes
1
answer
1k
views
When given light colour and refractive index, how do I find wavelength?
Example situation
If I knew that this green light, which has a wavelength of 500 nm in air, travels through a medium with a refractive index of 2.4, how would I find the wavelength in the medium?
...
- 147
-1
votes
1
answer
95
views
Number of images [closed]
A glass slab of refractive index n=2 has left spherical of radius 10cm and right surface plane.From both surfaces refraction as well as reflection takes place.A point of object P is placed at a ...
user184272
1
vote
0
answers
124
views
Why will the beam of light diverge in this case? [closed]
I came across a JEE Mains question, which I found pretty confusing after seeing the actual answer. Here is the question:
An initially parallel cylindrical beam travels in a medium of refractive index ...
- 205
-1
votes
1
answer
109
views
Refraction by a thin lens
What happens if the radii of curvature of the two spherical surfaces of a thin lens are equal?
According to the formula,
$$1/f = (n - 1)(1/R1 - 1/R2) $$
(Where $n$ is the refractive index of the ...
2
votes
1
answer
134
views
Finding a path of beam in a gradient-index media
I'm trying to find a polynomial that describes a path of a beam in a gradient index media.
It is a path of least time (Fermat's principle) meaning that it takes path that takes the least time to get ...
- 59
0
votes
1
answer
2k
views
Equations of Fermat's principle/Snell's law in a gradient lens (sugar aquarium)
I'm trying to animate a beam of light inside a substance with gradient index of refraction as a function of y. A good example of that is a syrup inside an aquarium like here https://www.youtube.com/...
- 59