A) 10.06 cm
B) 11.22 cm
C) 16 cm
D) 14 cm
E) None of these
Correct Answer: A
Solution :
\[m={{n}_{1}}-{{n}_{2}}=\frac{v}{4}\left[ \frac{1}{{{l}_{1}}}-\frac{1}{{{l}_{2}}} \right]\] \[5=\frac{300\times 100}{4}\left[ \frac{1}{{{l}_{1}}}-\frac{1}{{{l}_{2}}} \right]\] \[\frac{1}{{{l}_{1}}}-\frac{1}{{{l}_{2}}}=\frac{20}{300\times 100}\] \[=\frac{1}{1500}\] \[\frac{1}{{{l}_{2}}}=\frac{1}{10}-\frac{1}{1500}\] \[=\frac{149}{1500}\] \[{{l}_{2}}=\frac{1500}{149}\] \[=10.06\,cm\]
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