A weightless spring of length 60 cm and force constant 200 N/m is kept straight and unstretched on a smooth horizontal table and its ends are rigidly fixed. A mass of 0.25 kg is attached at the middle of the spring and is slightly displaced along the length. The time period of the oscillation of the mass is

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π20s

π10s

π5s

π200s

answer is A.

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Detailed Solution

System is equivalent to parallel combination of springs ∴Keq=K1+K2=400 andT=2πmKeq=2π0.25400=π20

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