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WBJEE · Physics · Ray Optics

The glass prisms \(P_{1}\) and \(P_{2}\) are to be combined together to produce dispersion without deviation. The angles of the prisms \(P_{1}\) and \(P_{2}\) are selected as \(4^{\circ}\) and \(3^{\circ}\) respectively. If the refractive index of prism \(P_{1}\) is \(1.54,\) then that of \(P_{2}\) will be

  1. A 1.48
  2. B 1.58
  3. C 1.62
  4. D 1.72
Verified Solution

Answer & Solution

Correct Answer

(D) 1.72

Step-by-step Solution

Detailed explanation

Given for prism \(\mathrm{P}_{1}\) \[ \mu=1.54,A=4^{\circ} \] For prism \(\mathrm{P}_{2}\) \[ \mu^{\prime}=?, A^{\prime}=3^{\circ} \] For no deviation \(=\delta +\delta ^{\prime}=0\) \(\Rightarrow \quad(\mu-1) A=\left(\mu^{\prime}-1\right) A^{\prime}\)…