Question

When a body of mass 240 kg is placed on an iceberg floating in sea water it is found that the ice berg just floats. What is the mass of the ice berg? Take the relative density of ice as 0.9 and that of sea water as 1.02.

• A. 1600 Kg
• B. 1800 Kg
• C. 1700 Kg
• D. 2000 Kg

Answer 1

The correct option is B 1800 Kg

$(240+m)g=upthrust$
$=V\times d\times g$
$240+m=\frac{m}{0.9}\times 1.02$
$21600+90m=102m$
$21600=12m$
$240+m=\frac{102m}{90}$
$21600+90m=102m$
$21600=12m$
$m=\frac{21600}{12}=1800kg$