A) \[0.5\,m/{{s}^{2}}\]
B) \[1.0\,m/{{s}^{2}}\]
C) \[2.0\,m/{{s}^{2}}\]
D) \[4.0\,m/{{s}^{2}}\]
Correct Answer: D
Solution :
If force applied on mass \[{{m}_{1}}\], then acceleration \[\Rightarrow \] \[12=\frac{F}{{{m}_{2}}}\] If force applied on mass \[{{m}_{2}}\], then acceleration \[3=\frac{F}{{{m}_{2}}}\] When same force is applied on \[{{m}_{2}}-{{m}_{1}}\] Then, acceleration \[a=\frac{F}{{{m}_{2}}-{{m}_{1}}}\] \[=\frac{F}{\frac{F}{3}-\frac{F}{12}}\] \[=4m/{{s}^{2}}\]
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