In figure, block `A` hangs by a cord form spring balance `D` and it submerged in a liquid `C` contained in a beaker `B`. The mass of the beaker is `1 kg`. The mass of the liquid is `1.5 kg`. Balance `D` reads `7.5 kg`. The volume of block `A` is `0.003 m^(3)`. The mass per unit volume of the liquid is

Options

A. `1666.7(kg)/(m^(3))`
B. `1500(kg)/(m^(3))`
C. `2500(kg)/(m^(3))`
D. `1750(kg)/(m^(3))`

Answer

A

Explanation

Balance D reads weight minus buoyancy force whereas E reads weight and reaction forces.