The distance between the incident point and the refracted point

In summary, the problem involves finding the distance between an incidence point and a refraction point on a tile of glass with dy faces parallel, given an incidence angle of pi/3 rad and a distance of 0.7 cm between the rays. The equation used is sina/sinb=n2/n1, with a solution of sinb=1/3 and tga=sqrt(2)/2 x=0.7*sqrt(2)/2=0.5. However, there are some inconsistencies and missing information in the post, such as the use of symbols without explanation and the lack of refractive indices.
  • #1
zade70
61
0

Homework Statement


http://s32.postimg.org/4urcaq0xx/image.png
The incidence angle of a light ray over a tile of glass with dy faces parallel is pi/3 rad. Find the distance between the incidence point and the refraction one of the ray with the tile, if the distance between these rays is 0.7 cm.

Homework Equations


sina/sinb=n2/n1

The Attempt at a Solution


sin pi/3/sinb=1.5/1 sinb=1/3
tga=sqrt (2)/2 x=0.7*sqrt(2)/2=0.5
 
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  • #2
Hi Zade,
Your post is a bit hard to follow, since you don't list the meanings of the symbols you use - and I don't see any in the drawing (which suggests 60 degrees is halfway between 0 and 90 degrees ?). Furthermore $$\sin{\pi\over 3}\ne {1\over 2}$$

You don't really ask a question and end your post with '=0.5'. Do you think the distance the exercise asks for is 0.5 cm ?
 
  • #3
Perhaps it would help if you marked on your diagram (or on a diagram); the 0.7cm and the distance to be calculated.

You don't mention any refractive indices: are you assuming air=1 (I assume it's air) and glass = 1.5 ?
 

What is the distance between the incident point and the refracted point?

The distance between the incident point and the refracted point is known as the optical path length. It can be calculated by multiplying the refractive index of the medium by the physical distance between the two points.

How does the angle of incidence affect the distance between the incident point and the refracted point?

The distance between the incident point and the refracted point is directly proportional to the angle of incidence. This means that as the angle of incidence increases, the distance between the two points also increases.

What is the relationship between the refractive index and the distance between the incident point and the refracted point?

The refractive index of a medium is inversely proportional to the distance between the incident point and the refracted point. This means that as the refractive index increases, the distance between the two points decreases.

How does the medium through which light travels affect the distance between the incident point and the refracted point?

The refractive index of a medium determines the speed at which light travels through it. As the speed of light changes, the distance between the incident point and the refracted point also changes accordingly.

Can the distance between the incident point and the refracted point be negative?

No, the distance between the incident point and the refracted point cannot be negative. It is a physical distance and therefore must be a positive value.

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