The refractive indices of the material of the prism for red and yellow colour are 1.620 and 1.635 respectively. Calculate the angular dispersion and dispersive power, if refracting angle is $8^{0}$ .

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Solution

Deviation of light $δ = [μ - 1] A$
Deviation of red light $δ_{r e d} = [μ_{r e d} - 1] A$
Similarly
Deviation of yellow light $δ_{y e l l o w} = [μ_{y e l l o w} - 1] A$
The dispersion = $δ_{y e l l o w} - δ_{r e d}$
$= [1.635 - 1.620] \times 8$
$= 0.12$

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The refractive indices of the material of the prism for red and yellow colour are 1.620 and 1.635 respectively. Calculate the angular dispersion and dispersive power, if refracting angle is 80.

Deviation of light δ=[μ−1]ADeviation of red light δred=[μred−1]ASimilarly Deviation of yellow light δyellow=[μyellow−1]AThe dispersion =δyellow−δred =[1.635−1.620]×8 =0.12

The refractive indices of the material of the prism for red and yellow colour are 1.620 and 1.635 respectively. Calculate the angular dispersion and dispersive power, if refracting angle is $8^{0}$ .

Deviation of light $δ = [μ - 1] A$
Deviation of red light $δ_{r e d} = [μ_{r e d} - 1] A$
Similarly
Deviation of yellow light $δ_{y e l l o w} = [μ_{y e l l o w} - 1] A$
The dispersion = $δ_{y e l l o w} - δ_{r e d}$
$= [1.635 - 1.620] \times 8$
$= 0.12$