Refractrometry. Aim: Using a model Pulfrich refractometer determine the refractive index of a range of sugar solutions and hence determine the refractive index of some sugar solutions with an unknown concentration.

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Physics Coursework: Refractometry

Introduction

When light crosses the boundary between two materials, it changes its speed and normally its direction, this is refraction. The refractive index (  ) for a pair of materials is a ratio of the wave velocities.

The incident and refractive angles are measured from the normal (perpendicular to the object).

Aim: Using a model Pulfrich refractometer determine the refractive index of a range of sugar solutions and hence determine the refractive index of some sugar solutions with an unknown concentration.

The following equations show how we can combine different equations for refractive index to come up with one that is useful for  my experiment

The refraction from liquid to glass:

The refraction index from air to glass:

And if:

Then:

And if:

Then:

Using these we can calculate the refractive index from air to liquid is:

We also know that C = 90° - r (because we will use a right-angled block) so sin C = cos r

In conclusion we can come up with a final equation for the refractive index for air to liquid is:

I will then plot the refractive index against the concentration of the sugar solution and draw a line of best fit. From the line of best fit and the refractive index of my unknown concentrations I should then be able to draw a line down from the line to determine the concentration. I predict that my graph will be proportional. This because the refractive index is proportional to the specific gravity of a concentration, which is directly proportional to concentration. Therefore my graph will appear similar as below:

Apparatus:

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  • Rectangular Perspex block
  • Several sheets of blank white A4 paper
  • Pin board
  • 2 tall pins
  • Black paper
  • Range of sugar concentrations
  • Sharp pencil
  • Protractor

In my apparatus I have made steps to improve the sensitivity and accuracy of this investigation. For example I will be using black paper to make visibility of the disappearance easier to spot. I must ensure that I use a sharp pencil so that my measurements are precise. By using the pins and pin board system I can take time to check my measurements are correct before drawing in the lines.

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