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Draw the ray diagram of a glass slab having medium A and B for the velocity of light ray VA and VB respectively and define Snell's law. If VB = 1.5 VA, then which medium is denser? - Science and Technology 1

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प्रश्न

Draw the ray diagram of a glass slab having medium A and B for the velocity of light ray VA and VB respectively and define Snell's law.

  1. If VB = 1.5 VA, then which medium is denser?
  2. What is the refractive index of A with respect to B?
  3. What is the refractive index of B with respect to A?
संक्षेप में उत्तर

उत्तर

Where i = angle of incidence,

r = angle of refraction,

e = angle of emergence

At point N, using snell's law

AηB = `sin "i"/sin "r"` = constant

According to snell's law, the sin i of the angle of incidence to the sin r of the angle of refraction is always constant.

  1. Medium A is denser.
  2. Refractive index of A with respect to B is:
    BηA = `"V"_"B"/"V"_"A" = (1.5 "V"_"A")/"V"_"A" = 3/2`
  3. Refractive index of B with respect to A is:
    AηB = `1/(""_"B"η_"A") = 2/3`
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