Optics reflection/refraction problem

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In summary, the conversation discusses a 80 cm tall and 65 cm wide tank filled with water (n=1.33), with marks every 10 cm along one wall. From the opposite wall, the eye is level with the top of the water. The questions posed are: a) Can the marks be seen from the top going down or the bottom going up? and b) What is the lowest or highest mark that can be seen, depending on the answer to part a? The relevant equation mentioned is Snell's Law (n1sinθ1=n2sinθ2), and the solution involves sketching the rays from the marks to the eye and using mathematical calculations.
  • #1
raindrops
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Homework Statement



The 80 cm tall, 65 cm wide tank shown in the figure is completely filled with water (n=1.33). The tank has marks every 10 cm along one wall, and the 0 cm mark is barely submerged. As you stand beside the opposite wall, your eye is level with the top of the water.

a.) Can you see the marks from the top of the tank (the 0cm mark) going down, or from the bottom of the tank (the 80cm mark) coming up? Explain

b.) Which is the lowest or highest mark, depending on the your answer to part a, that you can see?

Homework Equations



I'm not sure what equations are relevant. maybe snell's law? n1sin[tex]\vartheta[/tex]2=n2sin[tex]\vartheta[/tex]2

The Attempt at a Solution



I'm really not sure where to even start.
** drawing is attached.
 

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  • #2


Sketch the rays coming form the marks to your eye.
 
  • #3


He's looking for a mathematical answer, not just a drawing. Any ideas on how to do that?
 

FAQ: Optics reflection/refraction problem

What is the difference between reflection and refraction?

Reflection is the bouncing back of light rays from a smooth surface, whereas refraction is the bending of light as it passes through a medium with a different density.

Why does light change direction when it passes through a medium?

Light changes direction when it passes through a medium due to the change in speed caused by the change in density. This is known as refraction.

How is the angle of incidence related to the angle of reflection in reflection?

The angle of incidence (the angle at which light hits a surface) is equal to the angle of reflection (the angle at which light bounces off the surface). This is known as the law of reflection.

What factors affect the amount of refraction that occurs?

The amount of refraction that occurs depends on the angle of incidence, the change in density between the two mediums, and the wavelength of the light.

What is the difference between a convex and concave lens?

A convex lens is thicker in the middle and thinner at the edges, causing light rays to converge and form an image. A concave lens is thinner in the middle and thicker at the edges, causing light rays to diverge and appear smaller.

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