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A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass rt is slightly pulled down and released, it oscillates with a time period of 3s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5 s. The value of min kg is :

a
16/9
b
9/16
c
3/4
d
4/3

detailed solution

Correct option is B

T=2πmk        3=2πmk                                   ....(1)        5=2πm+1k                             .....(2)         1222⇒925=mm+1⇒m=916

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