1.

A prism of refractive index mu_1 = 1.42 and prism angle 10° is arranged with another prism of refractive index mu_2 = 1.7. If this combination gives the dispersion without deviation, then what should be the prism angle of second prism?

Answer»

`6^@`
`8^@`
`10^@`
`4^@`

Solution :For dispersion WITHOUT deviation `delta=0`
`therefore delta=delta_1+delta_2`
`0=(mu-1)A+(mu.-1)A.`
`therefore A.=-((mu-1)A)/(mu.-1)`
`=-((1.42-1)xx10)/((1.7-1))=-(0.42xx10)/(0.7)=-6^@`
Negative sign represents that PRISM angles of prisms are opposite.
`therefore` Prism ANGLE of second prism = `6^@`


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