A) \[\frac{M}{m+M}\]
B) \[\sqrt{\frac{M}{m+M}}\]
C) \[\frac{m+M}{M}\]
D) \[\sqrt{\frac{m+M}{M}}\]
Correct Answer: D
Solution :
\[f=\frac{1}{2\pi }\sqrt{\frac{k}{M}}\] When only particle of M attached to spring \[{{f}_{a}}=\frac{1}{2\pi }\sqrt{\frac{k}{M}}\] ?..(1) When another particle of mass m attached to it \[{{f}_{b}}=\frac{1}{2\pi }\sqrt{\frac{k}{m+M}}\] ?.(2) \[\left( 1 \right)\div \left( 2 \right)\] \[\frac{{{f}_{a}}}{{{f}_{b}}}=\sqrt{\frac{m+M}{M}}\]
You need to login to perform this action.
You will be redirected in
3 sec
