A) \[{{\mu }_{1}}+{{\mu }_{2}}+=3\]
B) \[2{{\mu }_{1}}+{{\mu }_{2}}+=1\]
C) \[3{{\mu }_{1}}+{{\mu }_{1}}+=1\]
D) \[2{{\mu }_{2}}+{{\mu }_{1}}+=1\]
Correct Answer: A
Solution :
\[\frac{1}{{{f}_{1}}}=(\mu -1)\left( \frac{1}{R}-\frac{1}{\infty } \right);\] |
\[\frac{1}{{{f}_{2}}}=({{\mu }_{2}}-1)\left( \frac{1}{\infty }-\frac{1}{R} \right)\] |
\[\frac{1}{{{f}_{1}}}=\frac{(\mu -1)}{R};\frac{1}{{{f}_{2}}}=-\left( \frac{{{\mu }_{2}}-1}{R} \right)\] |
\[{{f}_{2}}=2{{f}_{1}};\frac{1}{{{f}_{1}}}=\frac{2}{{{f}_{2}}}\] |
\[\frac{{{\mu }_{1}}-1}{R}=\frac{-2({{\mu }_{1}}-1)}{R}\] |
\[{{\mu }_{1}}+2{{\mu }_{2}}=3.\] |
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