Q17 / 116 · NTA Abhyas (JEE Main) 2020 · Physics · Ray Optics

A thin prism of angle 5° made of glass of refractive index μ1=1.5 is combined with another prism of glass of refractive index μ2=1.75. The combination of the prisms produces dispersion without deviation. The angle of the second prism should be

  • A
    5°
  • B
    7°
  • Correct answer
    C
    10°3
  • D
    1.2°

Solution

For dispersion without deviation

δ1+δ2=0

μ1-1A⁡1+μ2-1A⁡2=0

A⁡2=-μ1-1A⁡1μ2-1

Substituting the given values, we get

A⁡2=-1·5-15°1·75-1=-10°3

The negative sign shows that the two prisms must be joined in opposition.

Hence, the correct answer is option: 'C'.

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