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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 m 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 5s. The value of m in kg isA. `(3)/(4)`B. `(4)/(3)`C. `(16)/(9)`D. `(9)/(16)` |
Answer» Correct Answer - D `3=2pisqrt((m)/(k))` `5=2pisqrt((m+1)/(k))` `(3)/(5)=sqrt((m)/(m+1))` `(9)/(25)=(m)/(m+1)` `9m+9=25m` `16m=9` `m=(9)/(16)` |
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