Q.

White light is incident normally on a glass plate (in air) of thickness 500 nm and refractive index of 1.5. The wavelength (in nm ) in the visible region (400 nm-700 nm) that is strongly reflected by the plate is

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a

450

b

600

c

400

d

500

answer is B.

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Detailed Solution

Ray-1 is reflected from a denser medium (ϕ=π) while ray-2 comes after reflecting from a rarer medium (ϕ=0°)

                                        x=2μt      =2n-1λ2for maximum intensity

or                                       λ=4μt2n-1   =4×1.5×5002n-1   =30002n-1 nm

 

 

Substituting n=1,2,3,etc., we get λ=3000 nm,1000 nm, 600nm etc.

Therefore answer is 600 nm.

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White light is incident normally on a glass plate (in air) of thickness 500 nm and refractive index of 1.5. The wavelength (in nm ) in the visible region (400 nm-700 nm) that is strongly reflected by the plate is