A block of mass \(0.9\ kg\) attached to a spring of force constant \(k\) is lying on a friction ...

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A block of mass \(0.9\ kg\) attached to a spring of force constant \(k\) is lying on a friction less floor.The spring is compressed by \(\sqrt{2}\ cm\) and the block is at a distance \(\dfrac{1}{\sqrt{2}}\ cm\) from the wall as shown in the figure. When the block is released, it makes elastic collision with the wall and its period of motion is \(0.2\ \sec\). Find the appropriate value of \(k\) in \( Nm^{-1}\)
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