Physics

Problem

A cube of side

a

and mass

m

floats on the surface of water as shown in figure. The surface tension and density of water are

T

and

\rho_w

, respectively. If angle of contact between cube and water surface is zero, find the distance

h

(in metres) between the lower face of cube and surface of the water. (Take

m = 1\text{kg}

g = 10\text{ m/s}^2

aT = 10/4\text{ unit}

and

\rho_w a^3 g = 10\text{ unit}

)