A thin prism P_1 with angle 4^o and made from | vedclass

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(B) For dispersion without deviation,the net deviation produced by the combination must be zero.The condition for dispersion without deviation is give

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$3$

Vedclass · Answer

(B) For dispersion without deviation,the net deviation produced by the combination must be zero.The condition for dispersion without deviation is given by the formula:$(\mu - 1)A + (\mu' - 1)A' = 0$Here,the prisms are combined to produce dispersion without deviation,which implies the deviations are in opposite directions:$(\mu - 1)A = -(\mu' - 1)A'$Taking the magnitudes:$\frac{A}{A'} = \frac{(\mu' - 1)}{(\mu - 1)}$Given:$A = 4^o$,$\mu = 1.54$,$\mu' = 1.72$Substituting the values:$\frac{4}{A'} = \frac{(1.72 - 1)}{(1.54 - 1)}$$\frac{4}{A'} = \frac{0.72}{0.54}$Solving for $A'$:$A' = \frac{4 	imes 0.54}{0.72}$$A' = \frac{2.16}{0.72} = 3^o$

$A$ thin prism $P_1$ with angle $4^o$ and made from glass of refractive index $1.54$ is combined with another thin prism $P_2$ made from glass of refractive index $1.72$ to produce dispersion without deviation. The angle of prism $P_2$ is (in $^o$)

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