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A crown glass prism of refracting angle ...

A crown glass prism of refracting angle `8^(@)` is combined with a flint glass prism to obtain deviation without dispersion. If the refractive indicates for red and violet rays for the crown glass are 1.514 and 1.524 and for the flint glass are 1.645 and 1.665 respectivey, find the angle of flint glass prism and net deviation.

Text Solution

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The condition for deviation without dispersion is
`(mu_(v)-mu_(R))A=(mu_(v)^(.)-mu_(R)^(.))A.`
`:. A=0.08/0.02=4^@`
For crown glass `mu=(1.514 + 1.524)/2=1.519`
For flint glass `mu=(1.645 + 1.524)/2=1.655`
`:.` The net deviation `(delta-delta.)=(mu-1)A - mu. -1)A.`
`=0.159xx8^@ - 0.655xx4^@=1.53^@`
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