A) \[200m{{s}^{-2}}\]
B) \[10m{{s}^{-2}}\]
C) \[0.1m\text{ }{{s}^{-2}}\]
D) \[100m\text{ }{{s}^{-2}}\]
Correct Answer: B
Solution :
: Here, Amplitude, \[A=10cm=0.1\text{ }m\] Spring constant, \[k=1000\text{ }N\text{ }{{m}^{-1}}\] Mass, \[m=10\text{ }kg\] Maximum acceleration of the block is \[{{a}_{\max }}={{\omega }^{2}}A=\frac{kA}{m}\] \[\left( \because \,\omega =\sqrt{\frac{k}{m}} \right)\] \[=\frac{1000N\,{{m}^{-1}}\times 0.1m}{10kg}=10\,m\,{{s}^{-2}}\]
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