A large block of ice 10 cm thick with a vertical hole drilled through it is floating in a lake. The minimum of water through the hole is (density of ice `=0.9 g cm^(-3))`

Options

A. 0.5 m
B. 1.0 m
C. 1.2 m
D. 1.8 m

Answer

B

Explanation

In equilibrium, weight = Upthrust i.e., `Vrho_(i)g=V_(i)rho_(w)g`

or `(V_(i))/(V)=(rho_(i))/(rho_(w))=(0.9)/(1.0)=0.9`
i.e., 90% or 9 m of ice block is inside the water. Therefore minimum length l required to scoop out a bucket of water is 10-9=1.0 m