InterviewSolution
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InterviewSolution
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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)`.A. 1 sB. 0.1256 sC. 0.5 sD. 3.142 s |
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Answer» Correct Answer - B The effective spring constant k. By using Geometric progression is given by `(1)/(k_(s))=(1)/(k)+(1)/(2k)+(1)/(4k)+(1)/(8k)+....` `=(1)/(k)[1+(1)/(2)+(1)/(4)+(1)/(8)+....]=(1)/(k)[(1)/(1-(1//2))]` `(1)/(k_(s))=(2)/(k) therefore k_(s)=(k)/(2)` `T=2pisqrt((m)/(k))=2pisqrt((m)/(k//2))=2pisqrt((2m)/(k))` `=2pisqrt((2xx0.04)/(2xx100))=0.1256s` |
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