A) \[\sqrt{3}\sec \]
B) \[3\sqrt{3}\sec \]
C) \[3\sec \]
D) \[6\sec \]
Correct Answer: B
Solution :
In sum position \[T\propto \frac{1}{\sqrt{{{M}_{1}}+{{M}_{2}}}}\]and in difference position \[T\propto \frac{1}{\sqrt{{{M}_{1}}-{{M}_{2}}}}\] \[\Rightarrow \frac{{{3}^{2}}}{{{T}^{2}}}=\frac{2M-M}{2M+M}\Rightarrow {{T}^{2}}=9\times 3{{\sec }^{2}}\] \[\therefore \ T=3\sqrt{3}\sec \]You need to login to perform this action.
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