A) \[~4{}^\circ \text{ }30~'\]
B) \[8.5{}^\circ \]
C) \[6.5{}^\circ \]
D) None of these
Correct Answer: A
Solution :
For dispersion without deviation \[{{\delta }_{1}}+{{\delta }_{2}}=0\] where \[{{\delta }_{1}}+\mu -1\,\,{{A}_{1}},\,\,{{\delta }_{2}}=({{\mu }_{2}}-1)\,{{A}_{2}}\] \[{{A}_{2}}=-\frac{({{\mu }_{1}}-1)}{({{\mu }_{2}}-1)}\times A\] Given, \[{{\mu }_{1}}=1.54,\,\,{{\mu }_{2}}=1.72,\,\,\,{{A}_{1}}={{6}^{o}}\] \[{{A}_{2}}=-\frac{(1.54-1)}{(1.72-1)}\times {{6}^{o}}\] \[{{A}_{2}}=-\frac{0.54}{0.72}\times {{6}^{o}}\] \[=-\frac{3}{4}\times {{6}^{o}}=-{{4.50}^{o}}\] \[\Rightarrow \] \[{{A}_{2}}={{4}^{o}}30\]
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