A) \[5:6\]
B) \[9:11\]
C) \[6:5\]
D) \[11:9\]
Correct Answer: C
Solution :
Dispersive power, \[\omega =\frac{{{\delta }_{B}}-{{\delta }_{R}}}{\delta }\] For 1st prism, \[{{\omega }_{1}}=\frac{{{\delta }_{B}}-{{\delta }_{R}}}{\delta }=\frac{{{12}^{o}}-{{8}^{o}}}{{{10}^{o}}}=\frac{2}{5}\] where \[\delta =\frac{{{\delta }_{B}}+{{\delta }_{R}}}{2}\] Similarly, for 2nd prism, \[{{\omega }_{2}}=\frac{{{14}^{o}}-{{10}^{o}}}{12}=\frac{1}{3}\] \[\therefore \] \[\frac{{{\omega }_{1}}}{{{\omega }_{2}}}=\frac{2}{5}\times \frac{3}{1}=\frac{6}{5}\]You need to login to perform this action.
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