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Wave Optics

Question
CBSEENPH12047874

If prism angle α = 1o , μ= 1.54, distance between screen and prism (D) = 0. 7 m, distance between prism and source α = 0.3 m , λ = 180 π nm, then in Fresnal biprism find the value of β (fringe width).

  • 10-4 m

  • 10-3 mm

  • 10-4 × πm

  • π × 10-3 m

Solution

B.

10-3 mm

a = 0.3 

α = 1o

μ = 1.54

We know that

   d = 2a ( μ - 1 )

      = 2 × 0.3 ( 1.54 - 1 ) × 1

      = 2 × 0.3 × 0.54 

   d = 0.324

 Fringe width F = D λd

                       = 0.7 × 180 π × 10-90.324

                       = 7 × 180π × 10-6324

                    F = 10-3 mm