A) 12.8kg
B) 8.6kg
C) 1.6kg
D) 3.2kg
Correct Answer: C
Solution :
The time period of spring mass system is given by \[T=2\,\pi \sqrt{\frac{m}{k}}\] where m is mass, and k is spring constant. Given, \[{{m}_{1}}=m,\,\,{{T}_{1}}=2\,s,\,{{T}_{2}}=2+1=3\,s\], \[\therefore \] \[\frac{{{T}_{1}}}{{{T}_{2}}}=\sqrt{\frac{m}{m+2}}\] \[\therefore \] \[\frac{2}{3}=\sqrt{\frac{m}{m+2}}\] \[\Rightarrow \] \[\frac{9}{4}=\frac{m+2}{m}\] \[\Rightarrow \] \[9m=4m+8\] \[\Rightarrow \] \[m=1.6\,kg\].You need to login to perform this action.
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