The weight of sphere in air is $50\ g$. Its weight $40\ g$ in a liquid, at temperature $20\,^o C$. When temperature increases to $70\,^o C$ , it weight becomes $45\ g$, then the ratio of densities of liquid at given two temperature is
$2 : 1$
$3 : 1$
$4 : 1$
$1 : 1$
The length of a metallic rod is $5m$ at $0°C$ and becomes $ 5.01\, m$, on heating upto $100°C$. The linear expansion of the metal will be
In a vertical $U-$tube containing a liquid, the two arms are maintained at different temperatures ${t_1}$ and ${t_2}$. The liquid columns in the two arms have heights ${l_1}$ and ${l_2}$ respectively. The coefficient of volume expansion of the liquid is equal to
A cuboid $ABCDEFGH$ is anisotropic with $\alpha_x = 1 × 10^{-5} /^o C$, $\alpha_y = 2 × 10^{-5} /^o C$, $\alpha_z = 3 × 10^{-5} /^o C$. Coefficient of superficial expansion of faces can be
A rod of silver of $100\;cm$ is at $0^{\circ} C$ is heated to $100^{\circ} C$. Its length is increased by $0.19 \,cm .$ Coefficient of cubical expansion of the silver rod is
The loss in weight of a solid when immersed in a liquid at $0^o C$ is $W_0$ and at $t^o C$ is $W$. If cubical coefficient of expansion of the solid and the liquid by $\gamma_s$ and $\gamma_l$ respectively, then $W$ is equal to :