Two masses \[{{m}_{1}}\]and \[{{m}_{2}}\left( {{m}_{1}}>{{m}_{2}} \right)\]are connected by massless flexible and inextensible string passed over massless and frictionless pulley. The acceleration of centre of mass is [J&K CET 2005]

\[\frac{{{m}_{1}}-{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}}g\]

\[{{\left( \frac{{{m}_{1}}-{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}} \right)}^{2}}g\]

\[\frac{{{m}_{1}}+{{m}_{2}}}{{{m}_{1}}-{{m}_{2}}}g\]

Two masses \[{{m}_{1}}\]and \[{{m}_{2}}\left( {{m}_{1}}>{{m}_{2}} \rig

1.	Two masses \[{{m}_{1}}\]and \[{{m}_{2}}\left( {{m}_{1}}>{{m}_{2}} \right)\]are connected by massless flexible and inextensible string passed over massless and frictionless pulley. The acceleration of centre of mass is [J&K CET 2005]
A.	\[{{\left( \frac{{{m}_{1}}-{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}} \right)}^{2}}g\]
B.	\[\frac{{{m}_{1}}-{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}}g\]
C.	\[\frac{{{m}_{1}}+{{m}_{2}}}{{{m}_{1}}-{{m}_{2}}}g\]
D.	Zero
Answer» B. \[\frac{{{m}_{1}}-{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}}g\]