A body of mass 100 kg and density 500 kg `m^(-3)` floats in water. The additional mass should be added to the body so that the body will shink is

Options

A. 80 kg
B. 100 kg
C. 150 kg
D. 200 kg

Answer

B

Explanation

Here, mass m =100 kg, density `rho=500 kg m^(-3)`
Volume of the body, `V=(m)/(rho)=(100)/(500)=0.2 m^(3)`
Weight of water displaced `=Vrhog`
`=0.2xx10^(3)xxg=200g` kg wt
Mass of water displaced =200 kg
`therefore` the additional mass which can be added to body, so that body can sink `=200-100=100kg`