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JEE Main 2006 (AIEEE) · Prism, Dispersion & Scattering

Prism, Dispersion & Scattering question from JEE Main 2006 (AIEEE)

Q88JEE Main 2006 · AIEEEMedium

Prism, Dispersion & Scattering

The refractive index of a glass is 1.5201.520 for red light and 1.5251.525 for blue light. Let D1D_1 and D2D_2 be angles of minimum deviation for red and blue light respectively in a prism of this glass. Then,

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Answer: (a)

  1. For a prism, minimum deviation increases with refractive index: μ=sin⁡A+D2sin⁡A2\mu = \dfrac{\sin\frac{A+D}{2}}{\sin\frac{A}{2}}.
  2. μblue=1.525>μred=1.520⇒D2>D1\mu_{blue} = 1.525 > \mu_{red} = 1.520 \Rightarrow D_2 > D_1 for any prism angle.
  3. So the answer is (a) D1<D2D_1 < D_2.
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