A flint glass prism and a crown glass prism a | vedclass

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(C) Given that,Refractive index of flint glass,$\mu_{f} = 1.620$Refractive index of crown glass,$\mu_{c} = 1.518$Refracting angle of flint prism,$A_{f

Vedclass · Accepted Answer

$7.2$

Vedclass · Answer

(C) Given that,Refractive index of flint glass,$\mu_{f} = 1.620$Refractive index of crown glass,$\mu_{c} = 1.518$Refracting angle of flint prism,$A_{f} = 6.0^{\circ}$For zero net deviation of the mean ray,the deviation produced by the flint prism must be equal and opposite to the deviation produced by the crown prism.The formula for deviation is $\delta = (\mu - 1)A$.Thus,$(\mu_{f} - 1)A_{f} = (\mu_{c} - 1)A_{c}$.Substituting the values:$(1.620 - 1) 	imes 6.0^{\circ} = (1.518 - 1) 	imes A_{c}$$0.620 	imes 6.0^{\circ} = 0.518 	imes A_{c}$$A_{c} = \frac{0.620 	imes 6.0}{0.518} = \frac{3.72}{0.518} \approx 7.18^{\circ} \approx 7.2^{\circ}$.Therefore,the refracting angle of the crown prism is $7.2^{\circ}$.

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