A) \[236.6\text{ }N{{m}^{-1}}\]
B) \[118.3\text{ }N{{m}^{-1}}\]
C) \[59.15N{{m}^{-1}}\]
D) none of the above
Correct Answer: C
Solution :
: For a spring, \[T=2\pi \sqrt{\frac{m}{k}}\] \[\therefore \]\[2k=\frac{4{{\pi }^{2}}m}{{{T}^{2}}}\]since the two springs are in parallel. or \[2k=\frac{4\times 9.86\times 12}{2\times 2}=118.3N/m\] \[\therefore \] \[k=59.15N{{m}^{-1}}\]
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