A) \[\operatorname{A}+{{\delta }_{\operatorname{m}}}=i\]
B) \[\operatorname{A}+{{\delta }_{\operatorname{m}}}=2i\]
C) \[\operatorname{A}+{{\delta }_{\operatorname{m}}}/2=i\]
D) \[2\operatorname{A}+{{\delta }_{\operatorname{m}}}=i\]
Correct Answer: B
Solution :
| Option [b] is correct. |
| Explanation: For refraction through prism, |
| \[{{i}_{1}}+{{i}_{2}}=\delta +A\ and\ {{r}_{1}}+{{r}_{2}}=A\] |
| For minimum deviation, |
| \[{{i}_{1}}={{i}_{2}}=i\ and\ {{r}_{1}}={{r}_{2}}=r\] |
| So, \[2i=(A+{{\delta }_{m}})/2\] |
| \[A+{{\delta }_{m}}=2i\] |
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