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A ray of red light passes from a liquid to a transparent solid - Scottish Highers Physics - Question 12 - 2017

Question 12

A ray of red light passes from a liquid to a transparent solid. The solid and the liquid have the same refractive index for this light. Which row in the table shows ... show full transcript

Worked Solution & Example Answer:A ray of red light passes from a liquid to a transparent solid - Scottish Highers Physics - Question 12 - 2017

Step 1

Speed

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Answer

When light passes from one medium to another with the same refractive index, its speed remains unchanged. This is because the refractive index (n) is given by the ratio of the speed of light in vacuum (c) to the speed of light in the medium (v):

$n = \frac{c}{v}$

Since the refractive indices are the same, the speed of light doesn't change.

Step 2

Wavelength

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Answer

The wavelength of light also remains unchanged when moving between two media with the same refractive index. The relationship between the speed (v), frequency (f), and wavelength (λ) is given by:

$v = f \cdot \lambda$

Since the frequency of light remains constant, and the speed does not change, the wavelength will also not change.

Step 3

Row Selection

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Answer

Based on the above analysis, both the speed and wavelength of red light remain unchanged as it passes from the liquid into the solid. Therefore, the correct option in the table is:

E: no change in speed, no change in wavelength.

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