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Q.

A force of 6.4 N stretches a vertical spring by 0.1 m. The mass that must be suspended from the spring so that it oscillates with a period of  π4sec is 

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a

1kg

b

1πkg

c

10kg

d

π4kg

answer is B.

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Detailed Solution

Force constant of a spring is given by F=kx
 6.4=k(0.1) or k=64N/m T=2πmk⇒⇒π4=2πm64;
m64=(18)2;m=1kg

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