A) \[4\,N\text{-}{{m}^{-1}}\]
B) \[3\,N\text{-}{{m}^{-1}}\]
C) \[2\,N\text{-}{{m}^{-1}}\]
D) \[5\,N\text{-}{{m}^{-1}}\]
E) \[2.5\,N\text{-}{{m}^{-1}}\]
Correct Answer: C
Solution :
Mass (m) = 20 g = 0.02 kg Frequency\[(f)=\frac{5}{\pi }Hz.\] Time period of a loaded spring \[T=2\pi \sqrt{\frac{m}{k}}\] Frequency \[(f)=\frac{1}{2\pi }\sqrt{\frac{k}{m}}\] \[\frac{5}{\pi }=\frac{1}{2\pi }\sqrt{\frac{k}{0.02}}\] or \[10=\sqrt{\frac{k}{0.02}}\] or \[100=\frac{k}{0.02}\] \[\therefore \] \[k=2\,N\text{-}{{m}^{-1}}\]
You need to login to perform this action.
You will be redirected in
3 sec
