A solid sphere of density $\eta$ $( > 1)$ times lighter than water is suspended in a water tank by a string tied to its base as shown in fig. If the mass of the sphere is m then the tension in the string is given by
$\left( {\frac{{\eta - 1}}{\eta }} \right)\,mg$
$\eta mg$
$\frac{{mg}}{{\eta - 1}}$
$(\eta - 1)\,mg$
Two solids $A$ and $ B$ float in water. It is observed that $A$ floats with $\frac{1}{2}$ of its body immersed in water and $ B$ floats with $\frac{1}{4}$ of its volume above the water level. The ratio of the density of $ A$ to that of $B$ is
Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is ${\rho _i} = 0.917\,g/c{m^3}$.
A air bubble of radius $1\,cm$ in water has an upward acceleration $9.8\, cm\, s ^{-2}$. The density of water is $1\, gm\, cm ^{-3}$ and water offers negligible drag force on the bubble. The mass of the bubble is$.......gm$
$\left( g =980 \,cm / s ^{2}\right)$
Write the law of floatation
A cubical block of wood $10 \,cm$ on a side floats at the interface between oil and water with its lower surface horizontal and $4\, cm$ below the interface. The density of oil is $0.6gc{m^{ - 3}}$. The mass of block is ...... $gm$