A) \[{{m}_{1}}-{{m}_{2}}\]
B) \[\frac{1}{2}({{m}_{1}}+{{m}_{2}})\]
C) \[\frac{{{m}_{1}}{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}}\]
D) \[\frac{2{{m}_{1}}{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}}\]
Correct Answer: D
Solution :
The acceleration of the system \[=\left( \frac{{{m}_{1}}-{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}} \right)g\]and hence the tension T m the string is\[\left( \frac{2{{m}_{1}}{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}} \right)g.\]The reading of the spring balance is T (in units of force) and T/g (in units of mass). Hence, the correction option is [d].You need to login to perform this action.
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