What is Index: Definition and 828 Discussions

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.

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  1. O

    Can refractive index matching make a solid invisible in a liquid?

    How close do two refractive indices, e.g. a liquid and solid, have to be for the solid in the liquid to be invisible to the naked eye? 1st decimal place, 2nd decimal place?
  2. O

    Calculating Refractive Index of Liquid Mixtures: Is There a General Formula?

    Is there a general formula to calculate the refractive index of a mixture of two liquids of known refractive index, e.g. water and ethanol, or water and glycerol?
  3. mattmns

    Number Theory - Discrete Log (Index) - Equation

    Here is a silly question from our book, that seems to be a pain to solve: ------------ Solve the following equation: 59^x \equiv 63 \ \text{mod 71} ------------ The idea is to use the discrete log (or index). Note that 7 is a primitive root mod 71. The two books I have looked at...
  4. R

    Anti-reflective coating optimum index of refraction

    Hello I'm trying to solve a problem where I'm asked to find the optimum index of refraction for an antireflective coating on a piece of glass. In trying to derive an equation for it I keep coming across this in the internet (where 1,0, and s should be subscripts) n1=sqrt(n0ns) where n1 is...
  5. C

    Kramers Kronig transforms for refractive index

    I'm puzzled (as usual). The Kramers Kronig transform is commonly used to relate real and imaginary components of the electric susceptibility- \chi(\omega) It appears from reading papers that it also works for relating real and imaginary components of the refractive index. But why? That...
  6. A

    How does one measure the index of refraction of a liquid, and .?

    How does one measure the index of refraction of a liquid, more specifically the angle of refraction? I'm finding it's relationship to temperature. I can't just dip the protractor into the liquid( as a test medium I used water compared to air) and measure the angle that is in the water(either...
  7. T

    Index notation vs Dirac notation

    A professor of mine recently remarked that dirac notation is easily the best in physics & we'd quickly realize this once we take a course in relativity. I've already taken the course & I find myself disagreeing with him, but maybe that's only because I enjoy relativity more. Curious what you...
  8. F

    MATLAB Programming a Solar System Model: Overcoming Index Errors

    Ok, so semi-irrelevant information out of the way first - I'm writing a program that will give a basic model of the solar system - taking into account interactions from the planets on each other. I can get my program running when containing the individual starting points of each of the...
  9. C

    MATLAB Matlab problem - index out of bounds because numel(temp3)=0

    Hi, I am using a Matlab program called f2matlab, which converts fortran 90 code to MATLAB code. But I keep on getting the following error: Attempted to access temp3(1); index out of bounds because numel(temp3)=0. Does anyone know what this error relates to? :rolleyes: Thanks in...
  10. ZapperZ

    Exploring Negative Index of Refraction: A Tutorial by Pendry and Shalaev

    This article is as good as any tutorial on the physics of negative index of refraction. It was co-written by John Pendry, who has been credited for inventing/discovering the metamaterial that exhibits this property.Zz.
  11. A

    Characters of Normal Subgroup of Index 2

    Hi There, Ok, I'm new to this so I'm sorry if this is abit warbled!... We have a normal subgroup N of a finite group H such that [H:N]=2 We have a chatacter Chi belonging to the irreducible characters of H, Irr(H) , which is zero on H\N. I have already shown that Chi restricted to N =...
  12. L

    John Baez's Crackpot Index: Unpacking String Theory?

    http://math.ucr.edu/home/baez/crackpot.html Doesnt point number 37 hint at string theory by what the likes of smolin and woit says? And btw, I am no expert in this and I announce that all i have read is a few "layman" books and have no heck of idea what string theory actually is and my...
  13. C

    Finding refractive index by interpolation

    The problem is described here: http://phstudy.technion.ac.il/~wn117066/Problems2.pdf In question 1 I need to find the refractive indices for both polarizations at 760nm. I'm not quite sure how to go about this - which model of dispersion best fits Calomel? (I'm done with the exercise...
  14. Loren Booda

    Appearence with negative index of refraction

    For instance, how would a "gem" made of negative refraction index material appear next to a diamond?
  15. P

    Index Transformation: Understanding Notation & Index Rules

    In my struggles to understand index notation, I am trying to figure out how my book came up with the following transformation. \frac {D \omega}{Dt} \cdot \omega = \omega_j \partial_j v_i \cdot \omega + \nu \partial_j \partial_j \omega_i \cdot \omega = \frac {D \frac{\omega^2}{2}}{Dt} =...
  16. P

    Questions about Index Notation

    I am playing around with learning index notation for tensors, and I came across the following where C is a 0th order tensor: E_{ijk} \partial_j \partial_k C = 0 I believe this equates to \nabla \times \nabla C. I don't understand why this comes out to 0. Any ideas? Also, I am trying...
  17. B

    Ref. index of differnet concentrations of glucose

    is there a site with this? i want to see how the ref. index. of a soln of glucose varies with concentration. can someone tell me if my prediction that as concentration increase, ref. index increases is correct?
  18. A

    Find the refractive index of different objects using Snell’s law

    Hi I have just conducted the experimental stage of a practical 'to find the refractive index of different objects using Snell’s law' (which states sine i/sine r =N). The objects chosen were Ice, Glass, and Perspex. As 3 trials were taken for all 3 objects, if these points were graphed, and a...
  19. K

    Miller Indices for a Plane: Explained and Simplified | Helpful Hints Included

    I was asked the write down the Miller indices for a plane. The question is further described in http://www.wretch.cc/album/show.php?i=kenmse&b=13&f=1643363273&p=2 I took point A as an origin. For the plane "opn", the intersections with X axis and Y axis are a/2 and -a respectively. Then I...
  20. K

    What is the SI unit for refractive index?

    I am doing my homework and i come across a question. What is the SI unit for refractive index?All my revision books did not have the answer.Or perhaps the book is wrong by any chance?
  21. C

    What is the relation between refractive index and wavelength in a prism?

    This is from my Physics practical experiments. The experiment is to find the refractive power of the prism for different colours and also to determine the dispersive power of the material of the prism. My question is how does the refractive index of the material of the prism vary with the...
  22. B

    Measuring refractive index of liquid using lens and mirror

    hi i've got to do measure hte refractive index of a liquid with mirror and lens first of all how can i measure hte refractive index of air in this way? i don't get how i can do this, please explain :| and then for the liquid, I've been told to put the liquid over the mirror and then the...
  23. B

    What Is the Correct Numerator for Summation with Variable X Sub k?

    I have a problem with an inequality. In the numberator of one term I have X sub k, and in the denominator I have the sum X sub ks from 1 to n. So let's say I use n=2 and have two terms in the denominator Xsub1 and Xsub2. What am I using for the X sub k in the numerator. It definitely is not X sub n.
  24. Oxymoron

    Exploring Free Groups: Commutator Subgroups & Index

    The only definition of a free group I have is this: If F is a free group then it must have a subgroup in which every element of F can be written in a unique way as a product of finitely many elements of S and their inverses. Now, is it possible to form a commutator subgroup of F? That is...
  25. P

    Index of refraction and electromagnetic radiation

    "An electromagnetic radiation has a frequency of 5 x 10^14Hz a) (wave in vacuum = 600nm) b) (wave in water = 440 nm) c) what is the index of refraction of a medium in which the speed of this radiation is 2.54 x 10^8 m/s?" so given: c = 2.54 x 10^8 m/s f = 5 x 10^14Hz...
  26. S

    Measurement of the refractive index of a special sample

    I want to measure the refractive index of a thin cantilever ; however the sample is too small (about tens of microns). on the other hand, the cantilever maybe not flat at all and it is curly. how can I do it?
  27. B

    Index of refraction, angular seperation

    I can't seem to figure these out guys...maybe I'm missing a few equations too. 1. If light of wavelength 600nm in air enters a medium with index of refraction 1.50, its wavelength in this new medium is... A. unchanged B. 900nm C. 400nm D. 602nm ---I know that n=c/v...but I don't...
  28. K

    Refractive index & dielectric constant

    We know,n=(rel.permittivityxrel.permeability)^(1/2) For natural transperant mediums (to visible light of EM spectrum)are non-magnetic.So, rel.permeability=1 hence n=(dielectric constant)^(1/2)...
  29. P

    Refractive index to measure temperature

    Here is the question: A factory uses a beam of light to allow workers to visually check the temperature of a liquid. A semi-circular crown glass (refractive index (n) =1.75) block is placed in a liquid X whose refractive index n changes with temperature T (in °C) according to the formula: n =...
  30. W

    BER'S MATH PROBLEM: The Refractive Index of Water

    Let n denote the refractive index of water. What fraction of the speed of the light in air is the speed of underwater light? Let \theta denote the critical angle for light going from water to air. Find the value of sin \theta.
  31. N

    Rayleigh Refractometer index of refraction

    When constructing a Rayleigh Refractometer the formula for the refractive index of a gas at pressure P and temperature T is: mu(P,T) - 1 = (gamma) P/T where, mu(P,T) = refractive index as a function of pressure and temperature and gamma = [n(lambda)Ta]/[L(deltaP)] where, n = fringe...
  32. N

    Rayleigh Refractometer index of refraction

    When constructing a Rayleigh Refractometer the formula for the refractive index of a gas at pressure P and temperature T is: mu(P,T) - 1 = (gamma) P/T where, mu(P,T) = refractive index as a function of pressure and temperature and gamma = [n(lambda)Ta]/[L(deltaP)] where, n = fringe...
  33. S

    Solid with Varying Refractive Index

    Can someone please help me out? I was wondering whether or not there is a solid (i'm thinking a form of silicon) That is transparent and when an electric charge of some kind is passed through it it's refractive index changes There was an article in new scientist about this along time ago...
  34. B

    Index of refraction optics problem

    Hey , I need some indication to solve this problem: A ray light impinges at a 60 degres angle of incidence on a glass pane of thickness 5mm and index of refraction of 1.54. the ligth is reflected by a mirror that touches the back of the pane. By how much is the beam displaced compared with...
  35. B

    Solve Index Arithmetic Problem: ax^4≡2 (mod 13)

    How would i go about solving the problem of for which values of a is the congruence ax^4≡2(mod 13) solvable? I think it might have something to do with power residues but I'm not sure. Thanks
  36. D

    Shifting index of summation of power series

    I can't seem to get these power series to match up so that I can solve the equation...heres my work:
  37. R

    What's Wrong with Refractive Index Query? | Wikipedia

    Wkipedia gives refractive index n^2 = (Relative Permittivity) x (Relative Permeability) but taking water as an example n = 1.33 Relative Permeability = 1.0 (roughly) Relative Permittivity = 80.4 1.33^2 = 1.77 Which is NOT 80.4 what's wrong?
  38. A

    Index of refraction find a wavelength

    Given any index of refraction, how would I find a wavelength in that medium? Should I use frequency= c/wavelength? For example, if a piece of glass (medium) has a index of refraction 1.12, what's the wavelength?
  39. O

    Just a very quick question ( interpreting the index of refraction)

    Just to clear things up... does a greater index of refraction mean that the light bends more or less?
  40. I

    Optics: refractive index and dielectric constant

    Dear all, i am a bit confused with a very simple equation connecting refractive index of water and its dielectric constant for visible range of wavelengths and room temperature. i hope, You can help me as we know, the refractive index 'n' can be defined as n=sqrt(epsilon*mu)...
  41. D

    Why Is a Complex Index of Refraction Necessary?

    Why would one need to use a complex index of refraction? Are there circumstances in which the ordinary index of refraction breaks down? What are they?
  42. O

    Find Speed of Light in Medium with Index of Refraction

    I am having a little bit of trouble finding the speed of light in a given medium when you are only supplied with the index of refraction. For example, I was given that n=1.36 in ethanol, and I had to find the speed of sound in ethanol. I know the equation for the index of refraction is n=c/v...
  43. L

    Spherical glass object with index of refraction N

    imagine there is a spherical glass object with index of refraction N is that possible that for some N and angle of incidence A, the light will be total internal reflected forever. In other word, the light will travel within the object forever? i have been trying to proof it. but i don't know...
  44. J

    Refraction Index vs. Material Thickness

    Take a beam of monochromatic light pointed at a sheet of quartz 2" thick. The beam is striking the surface of the quartz at a fixed angle different than zero. Part of the beam will be reflected and another part of the beam will be refracted. Its exact path through the sheet will depend on the...
  45. B

    Solving a DE with a Series Index Shifts & Recurrence Relations

    Ok I'm giving these another go. I found the following DE from a reduction of order problem and figured that it would be an alright question if I turned it into one requiring a series solution. However I'm stuck. I think it's just a matter of index shifts to get an appropriate recurrence relation...
  46. E

    Can the index of refraction of a substance be altered by an external action?

    Hi guys. I'm doing this science fair project and I needed to know if there is a substance (any substance!) whose index of refraction can be changed/regulated by applying an electric current (or any other action) to it. I appreciate all help. Thanks!
  47. Y

    How to deal with the index in Einstein summation?

    Given U^k_i, the components of U is a delta function i.e for i=k U^i_k =1, to prove it is invariant under Lorentz transformation~~ I don't know how to express it in Einstein summation notation, I am very confused with the upper-lower index, is it right to write the transformation in this...
  48. E

    The Crackpot Index: Measure your "Crazy" Ideas

    http://math.ucr.edu/home/baez/crackpot.html :smile: :smile: :smile:
  49. P

    Is the Equation for Refractive Index Accurate?

    Can anyone show me a proof of "refractive index= (real depth)\(apparent depth) "? I found the proof in my book has a mistakes and I found some contradicts to this equation.
  50. C

    Discovering the Index of Refraction: A Quick and Easy Guide"

    my brain is fried...and I need help again. How do I find the index of refraction again??
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