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Question

If the refractive indices of crown glass for red, yellow and violet colours are 1.5140. 1.5170 and 1.5318 respectively and for flint glass these are 1.6434, 1.6499 and 1.6852 respectively, then the dispersive power for crown and flint glass are respectively:


A

0.034 and 1.0

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B

0.064 and 0.034

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C

1.3 and 0.064

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D

0.034 and 0.064

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Solution

Step 1: Given

Refractive indices of crown glass for red, yellow and violet colours are 1.5140. 1.5170 and 1.5318 respectively.

Refractive indices of flint glass for red, yellow and violet colours are 1.6434, 1.6499 and 1.6852 respectively.

Step 2: Formula used

Dispersive power is given by

ω=μvμrμy1

Step 3: Calculation

For crown glass:

ω=μvμrμy1

ω=1.53181.51401.51701

ω=0.034

For flint glass

ω=μvμrμy1

ω=1.68521.64341.64991

ω=0.064

Hence, correct option is (c).


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