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You are given prism made of crown glass ...

You are given prism made of crown glass and flint glass with a wide variety of angles. Suggest a combination of prism which will
(i) deviate a pencil of white light without much dispersion.
(ii) disperse and displace a pencil of white light without much deviation.

Text Solution

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(i) For no dispersion, total angular dispersion produced by two prism should be zero.
i.e. `(mu_(b) - mu_( r))A + (mu_(b') - mu_(r ))A' = 0`
As `(mu_(b') - mu_( r'))` for flint glass is more than that for crown glass, therefore, `A' lt A` i.e. flint glass prism of smaller angle has to be suitable combined with crown glass prism of larger angle.
(ii) For almost no deviation, `(mu_(y) - 1)A + (mu_(y') - 1) A' = 01`
Taking crown glass prism if certain angle, we go on increasing angle flint glass prism till this condition is met. In the final combination however, angle of flint glass prism will be smaller than the angle of crown glass prism as `mu_(y')` for flint glass is more than `mu_(y)` for crown glass.
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