Refractive Index and Angle of Refraction in Perspex Container Filled with Water

In summary, the light ray enters a container made of perspex at an angle of 70 degrees. The container has a reflective index of 1.48. Using Snell's law, the angle of refraction in water is 26 degrees. To find the refractive index when light goes from water to plastic, a thin layer of air is imagined between them. The refractive index of perspex is 1.48. The angles of refraction in the plastic and air below the tank are still unknown and the person asking for help is stuck and unable to find a solution.
  • #1
benhorris
21
0
Light ray goes into a container at 70 degrees, the container is made of perspects. The refective index of perspex is 1.48.

What are the angles of refraction in (i) the water; (ii) the plastic, (iii) the air below the tank.

I can't work it out, the answer to the first bit is 26 degrees, i know that for sure, thanks...
 
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  • #2
Please show us what you have done so far and where you are stuck.
 
  • #3
ok using snells law, n (refractive index) = sin i / sin r, i have worked out the first one which equals

sin 20 / 1.33 = sin r (the refractive index is 1.33 for water)

= 26 degrees

next i need to find the refractive index of the perspects which is 1.48, done!
the hint for the question is " You need to work out the refractive index when light goes from water to plastic – just imagine a thin layer of air between them."

hum, i thought, i tryed all different ways of doing it without any joy, so I am stuck, confused and irritated.
 
  • #4
Please note that the container is made of perspects, filled with water. The orginal ray of light came into the water at 70 degrees and i have worked out that the refraction of the light ray is 26 degrees. Just need to find the other two parts to the question...
 

FAQ: Refractive Index and Angle of Refraction in Perspex Container Filled with Water

What is the definition of refractive index?

The refractive index is a measure of how much light bends when it passes through a medium, such as a solid, liquid, or gas. It is defined as the ratio of the speed of light in a vacuum to the speed of light in the medium.

How is refractive index measured?

Refractive index can be measured using various techniques, such as using a refractometer or a spectrophotometer. These instruments measure the angle of refraction of light passing through the medium and use mathematical formulas to calculate the refractive index.

What factors affect refractive index?

The refractive index of a medium can be affected by several factors, including temperature, pressure, and the composition of the medium. In general, the denser the medium, the higher the refractive index.

What is the relationship between refractive index and wavelength?

Refractive index is dependent on the wavelength of light. Different wavelengths of light will have different refractive indices in the same medium. This is known as dispersion, and it is the reason why we see rainbows when light passes through a prism.

How is refractive index used in practical applications?

Refractive index is used in various practical applications, such as in the design of lenses and prisms for optical devices like cameras and microscopes. It is also used in the production of eyeglasses and contact lenses to correct vision problems caused by differences in refractive index in the eye.

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