The respective angles of the flint and crown | vedclass

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Question

(A) For dispersion without deviation,the net deviation produced by the combination of two prisms must be zero.The deviation produced by a prism is giv

Vedclass · Accepted Answer

$-\frac{(\mu_y - 1)}{(\mu_y' - 1)}$

Vedclass · Answer

(A) For dispersion without deviation,the net deviation produced by the combination of two prisms must be zero.The deviation produced by a prism is given by $\delta = A(\mu - 1)$.For the combination of crown glass prism (angle $A$,refractive index $\mu_y$) and flint glass prism (angle $A'$,refractive index $\mu_y'$),the total deviation is $\delta_{net} = A(\mu_y - 1) + A'(\mu_y' - 1) = 0$.Rearranging the equation to find the ratio $A'/A$:$A'(\mu_y' - 1) = -A(\mu_y - 1)$$\frac{A'}{A} = -\frac{(\mu_y - 1)}{(\mu_y' - 1)}$.

The respective angles of the flint and crown glass prisms are $A'$ and $A$. They are to be used for dispersion without deviation. The ratio of their angles $A'/A$ will be:

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