A block of steel of size $ 5 cm × 5 cm × 5 cm $ is weighed in water. If the relative density of steel is $7,$ its apparent weight is
$6 × 5 × 5 × 5 gf$
$4 × 4 × 4 × 7 gf$
$5 × 5 × 5 × 7 gf$
$4 × 4 × 4 × 6 gf$
The weight of a body in water is one third of its weight in air. The density of the body is ....... $g / cm ^3$
The vessel shown in the figure has two sections. The lower part is a rectangular vessel with area of cross-section $A$ and height $h$. The upper part is a conical vessel of height $h$ with base area $‘A’$ and top area $‘a’$ and the walls of the vessel are inclined at an angle $30^o$ with the vertical.A liquid of density $\rho$ fills both the sections upto a height $2h$. Neglecting atmospheric pressure.
A rectangular block is $10 \,cm \times 10 \,cm \times 15 \,cm$ in size is floating in water with $10 \,cm$ side vertical. If it floats with $15 \,cm$ side vertical, then the level of water will ..........
A thin vertical uniform wooden rod is pivoted at the top and immersed in water as shown. The container is slowly raised. At a certain moment, the equilibrium becomes unstable. If density of water is $9/5$ times the density of wood, then ratio of total length of rod to the submerged length of rod, at that moment is
An ice block contains a glass ball when the ice melts within the water containing vessel, the level of water