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A crown glass prism of refracting angle ...

A crown glass prism of refracting angle `6^@` is to be used for deviation without dispersion with a flint glass of angle of pris`alpha` . Given: for crown glass `mu_r = 1.513 and mu_v = 1.523`, for flint glass `mu_r = 1.645 and mu_v = 1.665`. What should be the value of `alpha` ?

Text Solution

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The condition for deviation with out dispersion is `(mu_v-mu_R) A=(mu_v-mu_R)A.`
`therefore A.=((1.524 -1.514) times 8^@)/((1.665 -1.645))=0.08^@/0.02=4^@`
for crown glass `mu=(1.514+1.524)/2=1.519`
for flint glass `mu=(1.645+1.665)/2=1.655`
`therefore ` The net deviation `(delta-delta.)=(mu-1)A-(mu.-1)A.`
`=0.159 times 8^@-0.655 times 4^@=1.53^@`
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