question_answer

The mass of block is \[{{m}_{1}}\] and that of liquid with the vessel is \[{{m}_{2}}\]. The block is suspended by a string (tension T) partially in the liquid. Choose the incorrect statement:

A)  The reading of the weighing machine placed below the vessel can be \[({{m}_{1}}+{{m}_{2}})g\]

B)  The reading of the weighing machine placed below the vessel can be greater than \[({{m}_{1}}+{{m}_{2}})g\]

C)  The reading of the weighing machine placed below the vessel can be \[({{m}_{1}}g+{{m}_{2}}g-T)\]

D)  The reading of the weighing machine placed below the vessel can be less than \[({{m}_{1}}+{{m}_{2}})g\]

Correct Answer: B

Solution :

  \[N=({{m}_{1}}g+{{m}_{2}}g)-T\] if \[T=0\Rightarrow N=({{m}_{1}}g+{{m}_{2}}g)\] if \[T>0\Rightarrow N<{{m}_{1}}g+{{m}_{2}}g\]and T cannot be negative.