Two small angled prisms A and B deviate the blue rays by 7 - and 9 - and the red rays by 5 -and 70 respectively- The prism which has a greater dispersive power is-

The correct option is D Prism A δ for prism A=7 +52 =6 ^∘ δ for prism B=9+72 #160; #160; #160; #160; #160; #160; #160; #16 ...

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Byju's Answer

Standard X

Physics

Dispersion of Light

Two small ang...

Question

Two small angled prisms A and B deviate the blue rays by 7 $^{\circ}$ and 9 $^{\circ}$ and the red rays by 5 $^{\circ}$ and $7^{0}$ respectively. The prism which has a greater dispersive power is:

Prism A

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Prism B

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Data not sufficient

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A,B have same dispersion power

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Solution

The correct option is D Prism A
$δ f o r p r i s m A = \frac{7 + 5}{2}$
=6 $^{\circ}$
$δ f o r p r i s m B = \frac{9 + 7}{2}$
= $8^{0}$
$∴ ω_{A} = \frac{δ_{v} - δ_{r}}{δ} = \frac{7 - 5}{6}$
$= \frac{1}{3}$

In the similar way,

$ω_{B} = \frac{9 - 7}{8}$
$= \frac{1}{4}$

$∴ ω_{A} > ω_{B}$

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Two small angled prisms A and B deviate the blue rays by 7∘ and 9∘ and the red rays by 5∘and 70 respectively. The prism which has a greater dispersive power is:

The correct option is D Prism Aδ for prism A=7+52=6∘δfor prism B=9+72 =80∴ωA=δv−δrδ=7−56=13In the similar way, ωB=9−78=14∴ωA>ωB

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