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Question 32
a.

A sonar sound wave is emitted from a research vessel and reflects off a flat, horizontal seabed. Which statement correctly describes this reflection?

  • A: The angle of reflection is measured between the reflected wave path and the horizontal seabed.
  • B: The angle of incidence is equal to the angle of reflection, with both angles measured relative to the normal to the seabed.
  • C: The reflected wave always travels at a higher speed than the incident wave.
  • D: The angle of incidence is measured between the incident wave path and the horizontal seabed.
[1]
b.

A ray of light passes from air into a beaker filled with pure glycerol. The angle of incidence i i\,i is 58∘ 58^\circ\,58∘ and the angle of refraction r r\,r is 35∘35^\circ35∘.

State the name of the line drawn perpendicular to the surface of the glycerol at the point where the light ray enters.

[1]
c.

State the relationship between the refractive index n n\,n of the liquid, the angle of incidence i i\,i in air, and the angle of refraction r r\,r in the liquid.

[1]
d.

Calculate the refractive index of glycerol. Give your answer to 2 decimal places.

[2]
e.

Inside a pair of binoculars, glass prisms are used to reflect light rays by 90∘ 90^\circ\,90∘ or 180∘ 180^\circ\,180∘ without any light escaping through the back faces of the prism.

State the name of the physical phenomenon that allows light to be completely reflected at these internal boundaries.

[1]
f.

Explain the two conditions required for this phenomenon to occur at the boundary inside the prism.

[2]
Markscheme

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