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A thin prism produces an angular dispers...

A thin prism produces an angular dispersion of 24. If the refracting angle of the prism is `3^(@)` , and the refractive index of the material of the prism for red colour is 1.55 . What is the refractive index of its material for violet light ?

A

`1.55`

B

`1.61`

C

`1.683`

D

`1.653`

Text Solution

Verified by Experts

The correct Answer is:
C

Angular dispersion = `A (n_(v) - n_(R)) and 24' = ((24)/(60))^(@)`
`therefore ((24)/(60))^(@) = 3^(@) [n_(v) - 1.55]`
`therefore (24)/(60 xx 3) = (2)/(15) = (n_(v) - 1.55)`
`therefore n_(v) = 1.55 + (2)/(15) = 1.683`
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