Three prisms of crown glass,each having a pri | vedclass

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(A) For a direct vision spectroscope,the net deviation produced by the combination of prisms must be zero.Let $A_c = 9^o$ be the angle of the crown gl

Vedclass · Accepted Answer

$11.9$

Vedclass · Answer

(A) For a direct vision spectroscope,the net deviation produced by the combination of prisms must be zero.Let $A_c = 9^o$ be the angle of the crown glass prisms and $A_f$ be the angle of the flint glass prisms.The refractive indices are $\mu_c = 1.53$ and $\mu_f = 1.60$.The total deviation $\delta_{net} = 3 	imes \delta_c - 2 	imes \delta_f = 0$.Substituting the formula for deviation $\delta = (\mu - 1)A$:$3(\mu_c - 1)A_c - 2(\mu_f - 1)A_f = 0$.$3(1.53 - 1) 	imes 9^o = 2(1.60 - 1) 	imes A_f$.$3(0.53) 	imes 9^o = 2(0.60) 	imes A_f$.$14.31^o = 1.2 	imes A_f$.$A_f = \frac{14.31}{1.2} = 11.925^o \approx 11.9^o$.

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