1.

One end of a spring of force constant \[k\] is fixed to a vertical wall and the other to a block of mass \[m\] resting on a smooth horizontal surface. There is another wall at a distance \[{{x}_{0}}\] from the block. The spring is then compressed by \[2{{x}_{0}}\] and released. The time taken to strike the wall is

A. \[\frac{1}{6}\pi \sqrt{\frac{k}{m}}\]
B. \[\sqrt{\frac{k}{m}}\]
C. \[\frac{2\pi }{3}\sqrt{\frac{k}{m}}\]
D. \[\frac{\pi }{4}\sqrt{\frac{k}{m}}\]
Answer» D. \[\frac{\pi }{4}\sqrt{\frac{k}{m}}\]


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