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What will be the period of the displacement body of mass `m`? A. `2pisqrt((m)/(2K))`B. `2pisqrt((3m)/(K))`C. `2pisqrt((3m)/(2K))`D. `pisqrt((3m)/(K))`

Answer» Correct Answer - C<br>Equivalent force constant of three spring<br> `k_(eq) = (k_(1)k_(2))/(k_(1) + k_(2)) = (k xx 2k)/(3k) = (2k)/(3)`<br> `T = 2pi sqrt((m)/(k_(eq))) = 2pi sqrt((m)/(2k//3))`<br> `rArr T = 2pi sqrt((3m)/(2k))`


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