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A ray of light is directed towards a prism as shown - Edexcel - A-Level Physics - Question 8 - 2023 - Paper 2

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A ray of light is directed towards a prism as shown. The prism is made from a material with refractive index 1.5. Which of the dashed lines best shows the subseque... show full transcript

Worked Solution & Example Answer:A ray of light is directed towards a prism as shown - Edexcel - A-Level Physics - Question 8 - 2023 - Paper 2

Step 1

Identify the Geometry of the Prism

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Answer

The prism geometry shows that the ray of light enters at an angle of 30° to the normal at point B. Using Snell's law, we can analyze how the light will refract upon entering the prism.

Step 2

Apply Snell's Law

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Answer

Snell's law states that: n1imesextsin(heta1)=n2imesextsin(heta2)n_1 imes ext{sin}( heta_1) = n_2 imes ext{sin}( heta_2) In this case,

  • Let n1=1n_1 = 1 (air) and n2=1.5n_2 = 1.5 (prism material).
  • heta1=30° heta_1 = 30°.

We calculate: 1imesextsin(30°)=1.5imesextsin(heta2)1 imes ext{sin}(30°) = 1.5 imes ext{sin}( heta_2) Solving for heta2 heta_2 allows us to find the angle at which the light refracts into the prism.

Step 3

Determine the Path Within the Prism

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Answer

The initial entry of light from point A to B will bend towards the normal inside the prism. It will then hit the second boundary at point C and, due to the higher index of refraction of the prism, it will bend away from the normal upon exit.

Step 4

Evaluate the Options (A, B, C, D)

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Answer

Based on the refraction analysis, the line that accurately represents the light's path is option C. This path illustrates the correct comprehension of refraction, showing the light bending towards the base of the prism before exiting.

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