A) \[12.6\,\,kg\]
B) \[9.6\,\,kg\]
C) \[3.2\,\,kg\]
D) \[1.6\,\,kg\]
Correct Answer: D
Solution :
Initial time period\[{{T}_{1}}=2\sec \] Final time period\[{{T}_{2}}=2+1=3\sec \] Initial mass\[{{m}_{1}}=m\,\,kg\] Final mass\[{{m}_{2}}=(m+2)\,\,kg\] Time period\[T=2\pi \sqrt{\frac{m}{k}}\] Now in first case\[2=2\pi \sqrt{\frac{m}{k}}\] ... (1) In second case\[3=2\pi \sqrt{\frac{m+2}{k}}\] ... (2) Solving equations (1) and (2), we get \[\frac{9}{4}=\frac{m+2}{m}\] or \[9m=4m+8\]8 or \[5m=8,\]so\[m=1.6\,\,kg\]
You need to login to perform this action.
You will be redirected in
3 sec
