A) \[\frac{3}{5}\]
B) \[\frac{25}{9}\]
C) \[\frac{16}{9}\]
D) \[\frac{5}{3}\]
Correct Answer: C
Solution :
\[T=2\pi \sqrt{\frac{M}{k}}\] \[T=2\pi \sqrt{\frac{M+m}{k}}\] \[\Rightarrow \] \[\frac{5T}{3}=2\pi \sqrt{\frac{M+m}{k}}\] Dividing Eq. (i) by Eq (ii), we have \[\frac{3}{5}=\sqrt{\frac{M}{M+m}}\] \[\frac{9}{25}=\frac{M}{M+m}\] \[\Rightarrow \] \[9M+9m=25M\] \[\Rightarrow \] \[16M=9m\] \[\frac{m}{M}=\frac{16}{9}\]You need to login to perform this action.
You will be redirected in
3 sec