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Ray Optics And Optical Instruments

Question
CBSEENPH12047938

A prism of a certain angle deviates the red and blue rays by 8 and 12, respectively. Another prism of the same angle deviates the red and blue rays by 10 and 14, respectively. The prisms are small angled and made of different materials. The dispersive power of the materials of the prisms are in the ratio

  • 5 : 6

  • 9 : 11

  • 6 : 5

  • 11 : 9

Solution

C.

6 : 5

For prism 1,

         δ =δB + δR2

δ = angle of deviaton

            = 12 + 82

         δ = 10                                  [ given:- δR = 8, δB = 12 ]

∴       ω1δB - δRδ

           = 12 - 810

           = 410

      ω25

For prism 2,

          δ = δB + δR2

             = 14 + 102

        δ  = 12                                     [ given:- δ B = 14, δR = 10  ]

∴     ω2δB - δRδ

            = 14 - 1012

       ω213

∴       ω1ω2 = 2513

          ω1ω2 = 65