When a block A is suspended by a spring and allowed to oscillate vertically, its time period of oscillation is found to be 3 sec. When another block B is suspended by the same spring, its time period of oscillation is found to be 4 sec. Now the two blocks A and B are tied together, suspended by the same spring and allowed to oscillate vertically. Then time period of the composite block is

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7 sec

8 sec

5 sec

3.5 sec

answer is C.

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Detailed Solution

For a spring-mass system, T=2πmK⇒m=KT24π2∴ KT24π2=KT124π2+KT224π2⇒T=T12+T22=32+42sec=5 sec

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