A) \[0.46{{s}^{-1}}\]
B) \[0.12{{s}^{-1}}\]
C) \[0.78{{s}^{-1}}\]
D) \[0.92{{s}^{-1}}\]
Correct Answer: A
Solution :
\[f\propto {{m}^{a}}{{k}^{b}}\] |
\[{{T}^{-1}}={{M}^{a}}{{M}^{b}}{{T}^{-2b}}\] |
\[a+b=0;-2b=-1\Rightarrow b=1/2,a=-1/2\] |
\[f\propto \sqrt{\frac{k}{m}};\frac{0.50}{f}=\frac{\sqrt{85}}{\sqrt{72}}\Rightarrow f=\frac{1}{2}\sqrt{\frac{72}{85}}=0.46{{s}^{-1}}\] |
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