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Q.

A spectrum is formed by a prism of dispersive power $^{'} ω^{'}$ . If the angle of deviation is $^{'} δ^{'}$ , then the angular dispersion is

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a

$\frac{ω}{δ}$

b

$\frac{δ}{ω}$

c

$ωδ$

d

$\frac{1}{ωδ}$

answer is D.

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Detailed Solution

$We know that \frac{δ_{v} - δ_{r}}{δ_{mean}} = ω \Rightarrow Angular dispersion = δ_{v} - δ_{r} = θ = {ωδ}_{mean}$

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A spectrum is formed by a prism of dispersive power 'ω′. If the angle of deviation is 'δ′, then the angular dispersion is