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T is the period of oscillation of a mass M suspended by a uniform light spring of force constant K. The spring is cut into n equal pieces and the above experiment is repeated using only one of the pieces, the new period of oscillation would be (a) nT(b) T /n(c) T /√n(d) T√n
Initially,T = 2pi*root(k/m)after cutting into n pieceseach spring constant be let k1.then,1/K = 1/k1 + 1/k1 + ----- + n/k11/K = n/k1k1 = nKNew Time period,T’ = 2piroot(k1/m) = > 2pi root(nK/m)Divide T/T’ and get the value.
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