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Springs of spring constants k, 2k, 4k, 8...

Springs of spring constants k, 2k, 4k, 8k, …… are connected in series. A mass m kg is attached to the lower end of the last spring and the systemm is allowed to vibrate. What is the time period of oscillations? Given `m=40gm,k=2.0Ncm^(-1)`.

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