Light - Angle of Deviation and Lenses

AI Thread Summary
The discussion revolves around two questions related to optics, specifically the angle of deviation at a glass-air interface and magnification in a two-lens microscope. For the first question, participants clarify that the calculation should consider the transition from air to glass, as the original assumption of glass to air leads to total internal reflection and no emerging beam. After recalculating, one participant finds an angle of deviation of approximately 30 degrees, while the textbook states it should be 19 degrees, leading to confusion over the discrepancy. The second question about magnification remains unresolved, with participants expressing difficulty in solving lens problems. Overall, the thread highlights challenges in understanding light behavior at interfaces and lens systems.
sinners
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Hey guys, i have two question that me and a couple of my mates couldn't figure out for the life of us in class so i bring them here. The first one at first glance seemed fairly easy

Homework Statement



Calculate the angle of deviation at a glass air interface for an angle of incidence of 65 degrees and refractive index of glass at 1.55

Homework Equations



n1 * sin ( incidence angle ) = n2 * sin ( refractive angle )

The Attempt at a Solution





1.55 * sin (65 ) = 1 * sin(x)

1.40 = sin(x)

sin-1(1.40) = x

BUT WAIT you can't do sin inverse of a number higher than 1 so can some one please help me


The Second problem we didn't have the slightest clue as to where to start.

2.Use the ray tracing or the formula method to determine the magnification of an object placed under the following two-lens microscope. The object is placed 5.2mm from an objective lens of focal length 5.0mm.They eye-piece lens has a focal length of 40mm. The poles of the lenses are 150mm apart.

Please Help Thanks Sinners
 
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Are you going from air to glass or from glass to air? You may have n1 and n2 flipped around. If it's glass to air, then you may be dealing with total internal reflection and there is no emerging beam.
 
well in the textbook it says from a glass-air interface so i assumed it was from glass to air.
 
sorry to bump but this is due tomorrow

thanks sinners
 
As you've said, there is no solution glass to air. Try air to glass. What are you asking about?
 
i tried air to glass and got an angle of deviation to be 30 degrees however in the book the answer is 19 degrees. Also any help on the second question?
 
I get the angle of refraction to be ~35.8 degrees. Is that what you got? But now it's semantics. They didn't ask for the angle of refraction, they asked for the angle of deviation. I would call that 65-35.8. But that gives me about 29.2. So if the book answer is 19, I don't know. Second one, don't know. I've always hated lens problems, sorry.
 

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