Emerging angle

The rays are parallel to each other.
What angle will the emerging rays will make with each other?
please give me the steps.

15 Answers

11
Soham Mukherjee ·

i forgot to mention the refractive index is 1.44....

11
SANDIPAN CHAKRABORTY ·

is the answer 20o ...confirm then i'll post the solution....

11
Soham Mukherjee ·

I think not...

11
Soham Mukherjee ·

the prism is isoceles...

1
bhaarat ·

Is it 30* ??

1
bhaarat ·

Is it 30* ??

1
bhaarat ·

Is it 32* ??

1
Arka Halder ·

the angle is 32°

11
SANDIPAN CHAKRABORTY ·

Please tell where am I going wrong....

This is how I solved...

since incedent angle is 30o (< 44o (ic)) the refracted angle should be 20o....

Pls point out where am I going wrong...

11
Soham Mukherjee ·

Why are u taking the incident angle as 30°?the answer given is 2[arcsine(0.72)-30°],but i can't figure why.

it means 32° is right...ya..thanks...

11
SANDIPAN CHAKRABORTY ·

Considering just the one half of the prism...

angle of incidence is the angle b/w the incident ray and the normal
so the angle of incidence is 30o

infact Arka has also taken the incident angle as 30o...but how are we getting the refracted angle as 46o..?????

11
Soham Mukherjee ·

sin 30/Sin r=1.44...that's how...

11
SANDIPAN CHAKRABORTY ·

yups

and

sin 30sin r = 1.44

sin r = sin 301.44 = 12 x 1.44 = 12.88 = 0.3472

r = sin-1 (0.3472) = 20.31o ≈ 20o

so how 46o????

1
Arka Halder ·

sandipan,a little mistake on ur part..
refractive index is given as 1.44.
which is refractive index of glass with respect to air(aμg)
when u are considering the refraction of the rays out of the prism,ie from glass to air,sin 30/sin r=gμa
which is refractive index of air with respect to glass which will be 1/1.44.
from here we get r as 46°.
also from denser to rarer medium =>ray goes away from the normal(which isnt the case in ur solution).

11
SANDIPAN CHAKRABORTY ·

ohh yes...understood....thanks arka....

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