A) \[{{D}_{A}}>\,{{D}_{B}}>\,{{D}_{C}}\]
B) \[{{D}_{A}}<\,{{D}_{B}}<\,{{D}_{C}}\]
C) \[{{D}_{A}}<\,{{D}_{C}}<\,{{D}_{B}}\]
D) \[{{D}_{A}}>\,{{D}_{C}}>\,{{D}_{B}}\]
Correct Answer: C
Solution :
Refractive index of the material of a prism is given by \[\mu =\frac{\sin (A+{{\delta }_{m}})/2}{\sin \frac{A}{2}}\] Since, refractive angle is same for three prisms \[\mu \,\alpha \,{{\delta }_{m}}\,\] ie, \[\mu \,\alpha \,D\] \[\therefore \] \[{{D}_{A}}<{{D}_{C}}<{{D}_{B}}\]
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