A) \[\frac{1}{\sqrt{3}}f\]
B) \[\sqrt{3}f\]
C) \[2f\]
D) \[\frac{2}{\sqrt{3}}f\]
Correct Answer: B
Solution :
: Force constant of full spring\[=k,\] mass \[=m\] \[\therefore \] \[T=2\pi \sqrt{\frac{m}{k}}\] or frequency \[f=\frac{\sqrt{k}}{2\pi \sqrt{m}}\] Force constant for one-third spring\[=3\text{ }k,\] mass \[=m,\] \[\therefore \] \[f=\frac{\sqrt{3k}}{2\pi \sqrt{m}}\] \[\therefore \] \[f=\sqrt{3}f.\]
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