Q. 4

# The refractive index of a material changes by 0.014 as the color of the light changes from red to violet. A rectangular slab of height 2.00 cm made of this material is placed on a newspaper. When viewed normally in yellow light, the letters appear 1.32 cm below the top surface of the slab. Calculate the dispersive power of the material.

Answer :

Given that,

refractive index of a material changes= = 0.014

*μ*_{v} and *μ _{r}* be the refractive indices of violet and red colors

Actual depth = Thickness of slab = t = 2cm

Apparent depth = t^{’} = 1.32cm

Therefore,

μ_{y} =

= =

Dispersive power = ω =

= =

Thus, the dispersive power of the material is 0.027

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