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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