A) \[1 : 3 : 5\]
B) \[5 : 3 :1\]
C) \[15 :~5 : 3\]
D) None of these
Correct Answer: C
Solution :
As, \[L=\frac{{{\lambda }_{1}}}{4}\] \[{{\lambda }_{1}}\,\,=\,\,4L\] And \[L=\frac{3{{\lambda }_{2}}}{4}\] \[\Rightarrow \,\,\,\,\,\,\,\,{{\lambda }_{2}}=\frac{4}{3}\,L\] And \[L=\frac{5{{\lambda }_{3}}}{4}\,\,\,\,\,\,\Rightarrow \,\,\,{{\lambda }_{3}}=\frac{4}{5}\,L\] Now, \[{{\lambda }_{1}}:{{\lambda }_{2}}:{{\lambda }_{3}}\,\,=\,\,4:\frac{4}{3}:\frac{4}{5}\,\,=\,\,1:\frac{1}{3}:\frac{1}{5}\] \[=\,\,15:5:3\]
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