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Discussion

A ray of light travels from air into three media A, B and C with different optical densities. Refer to the table given below and identify X, Y, Z and W :

Change in speed of lightChange in frequency of lightChange in wavelength of light
Air to medium AXYDecreases
Air to medium BIncreasesNo changeZ
Air to medium CRemains sameWNo change

Choose the correct option.

  • A.X - Increases; Y - Decreases; Z - Decreases; W - Increases
  • B.X - Increases; Y - Increases; Z - Increases; W - Increases
  • C.X - Decreases; Y - Remains unchanged; Z - Increases; W - Remains unchanged
  • D.X - Decreases; Y - Decreases; Z - Increases; W - Remains unchanged

Answer: C

The correct option is X - Decreases; Y - Remains unchanged; Z - Increases; W - Remains unchanged.

When light passes from one medium to another, its frequency never changes; it is set by the source. So Y and W are both 'remains unchanged'. Since speed = frequency × wavelength, the speed and the wavelength change together, in the same direction.

Into medium A the wavelength decreases, so the speed decreases too (X). Into medium B the speed increases, so the wavelength increases too (Z). Every option in which the frequency changes is therefore wrong, which leaves only X - Decreases; Y - Remains unchanged; Z - Increases; W - Remains unchanged.

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