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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 as shown in figure. 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 = constantnew spring constant for each part is K' = nKNow r part are taken in parallelso Keq = nrkTime period = 2πmKeq = 2πmnrK

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