Question - 6
a)
i) For which colour of white light the refractive index of a transparent medium is the
least and the most? Give reason to your answer.
ii) With the help of a well-
labelled diagram show that the apparent depth of an
object such as coin, in water is less than its real depth.
b) How does the angle of deviation produced by a prism depends on the angle of
incidence of light at the prism surface draw a graph to illustrate your answer.
c) Name the three factors which affect the refractive index of a medium and how they
affect.
Answers
Answer:
a)
(i) According to Snell's law nv is constant for all the constituents of a single wave passing through a particular medium, here the seven wavelengths of white light. Since velocity v of red light through a medium is maximum, refractive index n for red light will be least.
b) First the angle of deviation produced by prism decreases with the increasing angle of incidence but on further increasing the angle of incidence the angle of deviation increases. Figure given in side shows the graph for variation of angle of deviation with the angle of incidence.
c) Answer
Nature of the material of the medium.
Density of the medium.
Colour of the light.
Wavelength of the light.
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Answer:
Explanation:
a)
(i)Red light has the maximum wavelength λ and frequency f of light doesn't change in any medium. Thus, red light travels fastest through a medium since v=frequency x wavelength
According to Snell's law is constant for all the constituents of a single wave passing through a particular medium, here the seven wavelengths of white light. Since velocity v of red light through a medium is maximum, refractive index n for red light will be least.
(ii) attached a photo
b)First the angle of deviation produced by prism decreases with the increasing angle of incidence but on further increasing the angle of incidence the angle of deviation increases. Figure given in side shows the graph for variation of angle of deviation with the angle of incidence.
attached a photo for graph
c)
1) Speed of light in the medium (Higher the speed of light, lower is the refractive index)
2) Temperature of the medium(When the temperature of medium increases, the speed of light in the medium increases and hence the refractive index decreases).
3) Colour or Wavelength of light(Greater is the wavelength of light in the given medium, its refractive index will be less. Hence refractive index is least for red light with greatest wavelength and greatest for violet light with greatest wavelength)
4) Optical density of the medium (Denser the medium, the speed of light in the medium will be less and hence the refractive index will be more
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