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