InterviewSolution
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InterviewSolution
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A particle at the end of a spring executes S.H,M with a period `t_(2)` If the period of oscillation with two spring in .A. (a) `T^(-1)=t_(1)^(1)+t_(2)^(-1)`B. (b) `T^(2)=t_(1)^(2)+t_(2)^(2)`C. (c )`T=t_(1)+t_(2)`D. (d) T^(-2)=t_(1)^(-2)+t_(2_^(2)` |
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Answer» Correct Answer - B (b) For first spring, t_(1)=2pisqrtm/k_(1)`, For second spring, `t_(2)=2pisqrtmk_(2)`. when springs are in series then, `(k_(1)k_(2))/(k_(1)k_(2)` :. `T=2pisqrt((m(k_(1)+k_(2))))/((k_(1)k_(2)`. :. `T=2pisqrtm/k_(2)+m/k_(1) =2pisqrt((t_(2)^(2))/(2pi^(2)+t_(1)^(2)/(2pi)^(2))` `rArr T^(2)=t(1)^(2)+t_(1)^(2)`. where x is the displacement from the mean position. |
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