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A spring of spring constant k is cut into n equal parts, out of which r parts are placed in parallel and connected with mass M. The time period of oscillatory motion of mass M is

a
T=2πMnrk
b
T=2πnrMk
c
T=2πrMnk
d
T=2πnMrk

detailed solution

Correct option is A

k⋅l=k′×ln= constant New spring constant for each part is k′=nkNow r part are taken in Parallel. so  keq=nrk Time period =2πMkeq=2πMnrk

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