Q.

A block is suspended by a spring and the deflection produced in the spring is 2 cm when the block is slightly pulled downward and released, its time period is found to be 1 second. When another block is suspended by the same spring, its elongation is found to be 8 cm. Now if this block is slightly pulled downward and released, what will be its time period?

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a

4 sec

b

2 sec

c

0.5 sec

d

8 sec

answer is B.

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Detailed Solution

mg=K.x⇒mK=xgNow T=2πmK=2πxg⇒x=g.T24π2⇒xαT2∴ T22T12=x2x1⇒T21=82⇒T2=2 second
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