Snell's Law

A ray of light is incident on a surface at an angle of 6 0 60^\circ , refracts at an angle of 4 5 45^\circ . Find it's refractive index.

Round your answer to 3 decimal places.


The answer is 1.225.

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3 solutions

Akshat Sharda
Mar 16, 2016

According to Snell's Law ,

Refractive index = sin 6 0 sin 4 5 = 3 2 1 2 = 3 2 1.225 \text{Refractive index}=\frac{\sin 60^\circ}{\sin 45^\circ}=\frac{\frac{\sqrt{3}}{2}}{\frac{1}{\sqrt{2}}}=\sqrt{\frac{3}{2}} \sim 1.225

Its at the surface ,60 deg, so with the normal 30 degrees answer comes out to be 0.7071

Mihir Inamdar - 2 years, 10 months ago
Sravanth C.
Mar 16, 2016

From snell's law we know that: sin i sin r = refractive index = sin 6 0 sin 4 5 1.225 \dfrac{\sin i}{\sin r}=\text{refractive index}\\ =\dfrac{\sin 60^\circ}{\sin 45^\circ}\approx 1.225

We wrote the solutions at same time :-P

Akshat Sharda - 5 years, 3 months ago

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LOL yeah ;)

Sravanth C. - 5 years, 3 months ago
Amogh Huddar
Oct 2, 2017

Refer to Snell's law - n = refractive index.

n = sin60 ÷ sin45

n = (√3/2) ÷ (1/√2)

n = 1.2247... = 1.225 approximately

@Amogh Huddar Aaaiit topper !!!

Ayon Ghosh - 3 years, 8 months ago

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True said haha!

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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Aeee Mukhoo

Amogh Huddar - 3 years, 4 months ago

@Ayon Ghosh can you recommend a suitable title for the new problem and up vote my solution to it

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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Its quite good already. Abe ab to upvote ke liye bhi bhik mang rha hai.

Ayon Ghosh - 3 years, 4 months ago

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Nhi be bhik koi nhi maangra

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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@Shreyansh Mukhopadhyay @Shreyansh Mukhopadhyay Type AIME 1983 Problem 3 on Google.

Seen it somewhere in a test ? ;)

That 's why Fiitjee sucks at originally made problems.Almost all are from various sources.

Ayon Ghosh - 3 years, 4 months ago

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@Ayon Ghosh Ok as you say

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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@Shreyansh Mukhopadhyay @Ayon Ghosh Oh yes I knew that it was unoriginal aime has taken problems from fiitjee

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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@Shreyansh Mukhopadhyay Abe Idiot Fiitjee has taken from AIME not reverse.( fiitjee was not even existent in 1983).

Ayon Ghosh - 3 years, 4 months ago

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@Ayon Ghosh Knew , was just joking hahaha

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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@Shreyansh Mukhopadhyay @Ayon Ghosh Tu kal k liye preparation nhi kar raha hai kya

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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@Shreyansh Mukhopadhyay No bruh , sirf Bio wali book ek bar skim over karunga .

Ayon Ghosh - 3 years, 4 months ago

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@Ayon Ghosh Mai sirf maths activity pad rha hu

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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@Shreyansh Mukhopadhyay Abe haan be maths activity bhi hai aur Biology copy bhi complete karni hai

Amogh Huddar - 3 years, 4 months ago

@Shreyansh Mukhopadhyay Ok then bye

Shreyansh Mukhopadhyay - 3 years, 4 months ago

@Shreyansh Mukhopadhyay Aur be yad rakhna School uniform me nhi aayenge cuz Rola marna hai.

Ayon Ghosh - 3 years, 4 months ago

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@Ayon Ghosh Nhi yaar mai school uniform me hi aaunga

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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@Shreyansh Mukhopadhyay abe buddhu. Mein bhi school uniform mein nahi aa raha hun.

Amogh Huddar - 3 years, 4 months ago

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@Amogh Huddar To mai kuch nhi kr sakta

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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@Shreyansh Mukhopadhyay Abe Firse Online hai tu !!

Ayon Ghosh - 3 years, 4 months ago

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@Ayon Ghosh Mai to 5 ghante baad aa raha hu aur to 5 ghante se baitha hua hai !!

Ayon Ghosh - 3 years, 4 months ago

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@Ayon Ghosh nhi mai bhi abhi aaya to check iitgenius result

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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@Shreyansh Mukhopadhyay IIT genius result Brilliant par milta hai ? :D

Ayon Ghosh - 3 years, 4 months ago

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@Ayon Ghosh nhi bas ayesehi check kr rha tha

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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@Shreyansh Mukhopadhyay chal pheku. Hamesha online reheta hai

Amogh Huddar - 3 years, 4 months ago

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@Amogh Huddar See my latest problem and its solution. My first ever problem on brilliant. Along with LATEX

Amogh Huddar - 3 years, 4 months ago

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@Amogh Huddar nope i will only upvote if you upvote my in https://brilliant.org/problems/fictional-lockers/?ref_id=1463741

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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@Shreyansh Mukhopadhyay I dont want u to upvote, I just want u to shut down

Amogh Huddar - 3 years, 4 months ago

@Amogh Huddar @Amogh Huddar your this solution is now unupvoted

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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@Shreyansh Mukhopadhyay Dimaag mat kha

Amogh Huddar - 3 years, 4 months ago

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@Amogh Huddar As you say, your second solution also now have only 1 upvote

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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@Shreyansh Mukhopadhyay I dont care. Mera new problem solve kar ke dikha

Amogh Huddar - 3 years, 4 months ago

@Shreyansh Mukhopadhyay Chl ab padhne bait ja kal ke 2nd level ke liye.

Ayon Ghosh - 3 years, 4 months ago

ekdam sahi bola hai. Mujhe bhi bol raha tha ki mein uske upvote count karu

Amogh Huddar - 3 years, 4 months ago

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@Amogh Huddar @Amogh Huddar your this solution now has only 1 upvote

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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@Shreyansh Mukhopadhyay That 's my upvote babe.

Ayon Ghosh - 3 years, 4 months ago

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@Ayon Ghosh ayon check out my new problem

Amogh Huddar - 3 years, 4 months ago

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@Amogh Huddar @Amogh Huddar , I did it. Check my comments on your solution

Shreyansh Mukhopadhyay - 3 years, 4 months ago

@Shreyansh Mukhopadhyay , @Amogh Huddar U guys SUCK !! And DIE here on Brilliant fighting.

Mai chala BIO Padhne. BYE.

Ayon Ghosh - 3 years, 4 months ago

@Ayon Ghosh ,did you comment on my report, I cannot see, as I hven't yet viewed the solution.

Shreyansh Mukhopadhyay - 3 years, 4 months ago

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