Indian Institute of Management Lucknow (abbreviated IIM Lucknow or IIM-L) is a public business school in Lucknow, Uttar Pradesh, India. It was established in 1984 as the fourth Indian Institute of Management (IIM) by the Government of India. IIM Lucknow offers post-graduate diploma, fellowship and executive programs in management. It is recognised as an "Institution of Excellence" by India's Ministry of Human Resource Development. IIM Lucknow also serves as the mentor institution for the newly established IIM Jammu, IIM Rohtak and IIM Kashipur. It also served as a mentor institute to IIM Sirmaur till 2018.The institute is on a 200-acre site in the northern outskirts of Lucknow. It also has a second campus on a 20-acre site at Noida exclusively for one year full-time MBA program (IPMX), Two-year PGP for working executive and executive education. The admission for the two-year PGP and fellowship programmes is done through Common Admission Test (CAT), while GMAT score is used for International Programme in Management for Executives, a one-year full-time residential programme equivalent to an MBA program, while admission to the Two-year PGP for working executive program is done based on GMAT score or a competitive written examination conducted by IIM Lucknow. The shortlisted candidates based on GMAT or the written examination go through the Writing Ability Test and Personal Interview (WAT & PI) to get final selection. The programs are accredited by the global accreditation body AMBA and AACSB. The institute has tie-ups with 24 leading B-schools across the world for student exchange. A number of b-competitions, cultural and sports events are organised by various clubs, academic interest groups and committees throughout the year.
Homework Statement
hey just wondering if anyone could show the the working for the index notation in the attachment it would be greatfully appreciated. thanks. the answer is there I am just looking for the working.
Homework Equations
The Attempt at a Solution
Homework Statement
I am having trouble understanding how I would go about finding all subgroups of index 2 in R*, the multiplicative group of nonzero real numbers. Any hints will be greatly appreciated.
Homework Equations
The Attempt at a Solution
I'm differentiating with respect to Grassman variables, and I'm getting something very inconsistent:
Suppose \xi and \chi are two-component, left-handed, grassman-valued spinors. Now, I take derivatives with of the product, \xi^a \chi_a, respect to \xi two different ways, and denote their...
Oh btw, this is not a homework question! just got it somewhere.
Light travels in a medium of n=1.2 at c1. what is its speed in a medium of n=1.6?
a)1.3c1
b)0.67c1
c)2c1
d)1.7c1
e)0.55c1
my solution:
using n=c/v, 1.2 = c/c1. also, 1.6=c/c2. c2= c/1.6. but c=1.2c1
So, c2=(1.2/1.6)...
refractive index... snell's law... help!
Hi,
im having a LOT of trouble with what seems like a basic question. i have been stressing over this for nearly 3 hours now. can anyone help me out? here it is:
Light propagating from water into air is incident on the water surface at the angle of...
I am currently undergoing advanced higher physics and my investigation is on measuring refractive index.
I have conducted 3 experiments so far: the standard ray lamp experiment from higher and two different versions of the apparent depth method.
However, these experiments have been simple and...
Homework Statement
Prove vector identity \nabla x\nabla\phi = 0 using index notation.
Homework Equations
\nabla x A = Ejrt\partialrAt
The Attempt at a Solution
I'm treating this as \nablax A, where A = del \Phi = Etpq\partialp\Phiq
putting A back in the equation:
=...
Homework Statement
The glass core of an optical fiber has an index of refraction 1.62. The index of refraction of the cladding is 1.47.
What is the maximum angle a light ray can make with the wall of the core if it is to remain inside the fiber?
Homework Equations
theta = sin ^-1...
Homework Statement
Indicate the (111) and ([11]0) ([11] has an over line, so is negative, don't know how to do on forums!) planes in a cubic lattice in a diagram, then calculate the angle between them.
The Attempt at a Solution
I think I have drawn this right (see attatchment), but I am...
I'm studying Lie groups using G. 't Hooft's tutorial:
http://www.phys.uu.nl/~thooft/lectures/lieg.html
In page 34, he introduces superscript and subscript indices starting from equation 6.27:
\phi_{\alpha} \rightarrow \phi_{\alpha}' = X_{\beta}^{\alpha}\phi^{\beta}
What is the...
ℽ = ½Nbερa
ℽ = surface energy
Nb = number of broken bonds
ε = bond strength
ρa = surface atomic density
ℽ{100} = (½)( 2 / a2 )(4)(ε)
ℽ{110} = ( 5 / sqrt(2) )( ε / a2 )
ℽ{111} = (2sqrt(3))( ε / a2 )
the supplemental picture shows a cube with atoms at each corner and one atom in...
Homework Statement
1. The index of refraction for water is 1.33 and that of glass is 1.50.
a. What is the critical angle for a glass-water interface?b. In which medium is the light ray incident for total internal reflection?Homework Equations
nisin\varthetai=nrsin\varthetarThe Attempt at a...
In the problem of harmonic oscillator, for single mode, that is, the energy
H = \hbar\omega(n + 1/2)
It is easy to find the average of energy by considering the density operator
<H> = \frac{Tr(He^{\beta H})}{Tr(e^{\beta H})}
But for multimode (assume no polarization), we have to...
Hi,
can anyone explain how miller indices can be determined for high index planes?
For example, why is it that
(544) = (S)-[ 9(111) x (100) ]
I tried to figure it out but i could no find a pattern
Thx in advance
Homework Statement
One of the beams of an interferometer, as seen in the figure below, passes through a small glass container containing a cavity D = 1.34 cm deep. When a gas is allowed to slowly fill the container, a total of 222 dark fringes are counted to move past a reference line. The...
Homework Statement
A beam of light is emitted 8.0 cm below the surface of an unknown liquid. The light beam is angled in a way that it strikes the surface 7.0 cm from the point directly above the light source. The light beam is totally internally reflected. What is the index of refraction of...
How does the refraction index vary with wavelength?
For example, if you take light that initially has just one wavelength and disperse it through a prism and calculate the different indices for each wavelength. I'm guessing they'll be different... Is it linear? exponential? etc.
Homework Statement
Let H and K be subgroups of G of finite index such that [G:H] and [G:K] are relatively prime. Prove that G = HK.
The attempt at a solution
All I know is that [G:H intersect K] = [G:H] [G:K]. What would be nice is if [G:HK] = [G:H] [G:K] / [G:H intersect K], for then I...
Hey guys,
Sorry i coudln't find an appropriate forum for this topic, but I need to make index cards for some vocab words. It is much easier/quicker/neater if i were to type them on paper then cut them out like index cards. I only have the new word, i think its microsoft word 2008, and i can't...
Dear readers,
In my recent study of dyadic products I found out that physical quantities expressend as 2nd rank tensors can also be expressed as a dyadic product of two vectors. Similarly 2nd rank tensor fields can be expressed as pointwise dyadic products of two vector fields.
One such...
How does abstract index notation work? What do the the indices represent? I know the Lorentz transformation tensor in arbitrary direction, so if you want to use a specific tensor in an example, that would be a good one.
Homework Statement
what is the minimum value that the index of refraction can have?
Homework Equations
n1sin\Thetai = n2sin\Thetar
The Attempt at a Solution
my choices are:
A - between 0 and 1
B - +1
C - -1
D - 0
all listed values in my given chart are...
Finding index of refraction using wavelength and 2 angles??
I'm not sure how to do a problem that involves a light ray striking a block/air interface, how to find the index of refraction of a transparent material when given the wavelength, the angle the light ray makes with respect to the...
Suppose an experimenter firstly is entirely ignorant of general relativity and non-euclidean space. He finds (say) a point-source gravitational field. He fires light beams about and notices the deflection. He concludes that there's a not-equals-one index of refraction n about the source point...
Show that if H is a normal subgroup of G of prime index p, then for all subgroups K of G, either
(i) K is a subgroup of H, or
(ii) G = HK and |K : K intersect H| = p.
Homework Statement
Let G be a group and let H,K be subgroups of G.
Assume that G is finite and that the indices |G:H| and |G:K| are relatively prime. Show that G=HK.
Hint: Show that |G:H(intersect)K| is divisible by both |G:H| and |G:K| and then use the counting principle for |HK|.The Attempt...
Hi, does anyone know a link showing how to calculate curl with a Levi-Civita tensor. I can't figure it out but I am sure if I could see an actual example would be able to work out what is going on.
Thanks.
In physics class we did an experiment where we dropped a metal pin in a beaker of water, covered half the beaker with a mirror and clamped another metal pin above the beaker. We had to find the refractive index of the water by measuring the apparent depth of the submerged pin and dividing it...
Can somebody tell me what is the miller index for the tilted plane?
Is it (102) or (112)?
Nothing seems to fit...
I wonder if we can even describe it with miller index?
Please download the picture here in pdf format:
http://www.megaupload.com/?d=F8J344BH
Thanks!
Homework Statement
We learn from school that when we shine white light through a prism, dispersion occurs. This is because the light of varying wavelengths are refracted to a different extent due to how refractive index varies with the wavelength of light. So why does refractive index vary...
There doesn't seem to be any difference between
n = (1-\delta) - i\beta
(the refractive index in the x-ray regime, where 1-\delta is the real part and \beta is the the absorption index)
and
n^{\ast} = n - ik
(the complex refractive index, where n is the refractive index and k is the...
1. In an experiment to find the index of refraction, n, of a block of glass, the angle of incidence, θi, and angle of refraction, θr, were measured a number of times as follows:
θi: 10° 20° 30° 40° 50°
θr: 7.0° 13.5° 20.0° 25.5° 31.0°
Given that the relationship between n, θi and θr is...
I was wondering how close 2 refractive Indexes have to be in order to be not visible? I currently have a glass fiber at 1.521 and am researching resin systems to match and so far have 2 - one at 1.506 and the other at 1.4736. I know which one is better (1.506), but is it close enough to...
I was wondering if someone can clarify the relationship between index of refraction and frequency.
I know that when light is entering into a high index of refraction (say air to glass) that the index is increasing, light bends towards the normal, the speed decreases, and wavelength becomes...
Homework Statement
Homework Equations
Snell's Law: na*sin(theta of a) = nb*sin(theta of b)
wavelength = index of refraction / n
n = c / v
The Attempt at a Solution
The only information given in the problem is the 2 angles of refraction and of course n of air is 1, I do not understand how to...
Hi everybody!
I have a question concerning tensors and hope you could help me :)
http://www.rzuser.uni-heidelberg.de/~mbernha3/tensoren.pdf
I would like you to look at expressions 13 and 16 :) I hope you won't be bothered by the fact the file is in German. I'm was wandering how these...
in relating the index of refraction to the relative permittivity (dielectric constant/function). it is known that n = \sqrt{\epsilon_r} for optical frequencies (i.e. \mu_r=1.
now this website
http://hyperphysics.phy-astr.gsu.edu/Hbase/tables/diel.html#c1
gives the relative permittivity of...
http://www.measureofamerica.org/
& WOW is there some appalling stuff about the so-called "world's only superpower," if anyone cares. Here are some tidbits that stood out for the British media...
Homework Statement
The light incident on a 45 degree prism undergoes total internal relfection at point P. What can you conclude about the index of refraction in the prism? (Determine either a minimum or maximum)
This is a right triangle, with the two other angles being 45 degrees and...
I saw this pretty interesting article today:
more... http://www.medicalnewstoday.com/articles/114271.php
Here is more info on how to obtain the ABI:
more... http://www.guideline.gov/summary/summary.aspx?ss=15&doc_id=5393&nbr=3696#s22
I'm pretty good at taking my own brachial...
for an example, polycrystalline silver, its index is n=0.135 and k =3.999 at the wavelength of 633nm, what does the nk mean, is that telling us the wavelength in the silver equals 633/0.135 nm ? and how to calculate the refractive angle in the metal?
Give a good explanation, please.
Hi folks,
Does anyone have a good reference for the refractive index of the near surface Martian atmosphere?
(Or alternatively, the means to estimate it from readily available data!)
I'm struggling to think of an equation for which I've got enough of the variables to be of use, (for...
Homework Statement
The diagrams below illustrate the formation of a rainbow. Figure 1 shows the general arrangement and Figure 2 shows the path of a ray through a raindrop with the centre of the raindrop is labelled O.
Figure 1:
Figure 2:
a.)
Where the ray enters the raindrop in...
And applying it to leading edge? research
http://physicsbuzz.physicscentral.com/2006/10/string-theory-loop-quantum-gravity-and.html
May be this is some what tongue in cheek? or are these theories open to crackpottery.
Homework Statement
A slab of glass has a refractive index of 1.3. What will be the speed of light in this glass?
Homework Equations
The Attempt at a Solution
\frac{sin i}{sin r}=1.3
?
For Snell's law n2sin(theta2)=n1sin(theta1), I know that air has an index of refraction of approximately 1. But how do I find the actual value for the index of refraction if I know the temperature jump and pressure? I know that from what I am given, I can find the densities of the air, but then...