142717 $\quad 4 \mathrm{~m}^{3}$ of water is to be pumped to a height of 20 $m$ and forced into a reservoir at a pressure of $2 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}$. The work done by the motor is (external pressure $=10^{5} \mathrm{~N} / \mathrm{m}^{2}$ )

142718 Two substances of densities $\rho_{1}$ and $\rho_{2}$ are mixed in equal volume and the relative density of mixture is 4 . When they are mixed in equal masses, the relative density of the mixture is 3 . The values of $\rho_{1}$ and $\rho_{2}$ are

142720 Two miscible liquids of densities $2.5 \mathrm{~g} / \mathrm{cm}^{3}$ and $0.8 \mathrm{~g} / \mathrm{cm}^{3}$ are taken in the ratio $2: 3$ by mass and mixed. The average density of the resulting mixture is

142722 A liquid of density $800 \mathrm{~kg} / \mathrm{m}^{3}$ is filled in a cylindrical vessel up to a height of $3 \mathrm{~m}$. This cylindrical vessel stands on a horizontal plane. There is a circular hole on the side of the vessel. What should be the minimum diameter of the hole to move the vessel on the floor, if plug is removed. Take the coefficient of friction between the bottom of the vessel and the plane as 0.5 and total mass of vessel plus vessel as $95 \mathrm{~kg}$.

142717 $\quad 4 \mathrm{~m}^{3}$ of water is to be pumped to a height of 20 $m$ and forced into a reservoir at a pressure of $2 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}$. The work done by the motor is (external pressure $=10^{5} \mathrm{~N} / \mathrm{m}^{2}$ )

142718 Two substances of densities $\rho_{1}$ and $\rho_{2}$ are mixed in equal volume and the relative density of mixture is 4 . When they are mixed in equal masses, the relative density of the mixture is 3 . The values of $\rho_{1}$ and $\rho_{2}$ are

142720 Two miscible liquids of densities $2.5 \mathrm{~g} / \mathrm{cm}^{3}$ and $0.8 \mathrm{~g} / \mathrm{cm}^{3}$ are taken in the ratio $2: 3$ by mass and mixed. The average density of the resulting mixture is

142722 A liquid of density $800 \mathrm{~kg} / \mathrm{m}^{3}$ is filled in a cylindrical vessel up to a height of $3 \mathrm{~m}$. This cylindrical vessel stands on a horizontal plane. There is a circular hole on the side of the vessel. What should be the minimum diameter of the hole to move the vessel on the floor, if plug is removed. Take the coefficient of friction between the bottom of the vessel and the plane as 0.5 and total mass of vessel plus vessel as $95 \mathrm{~kg}$.

142717 $\quad 4 \mathrm{~m}^{3}$ of water is to be pumped to a height of 20 $m$ and forced into a reservoir at a pressure of $2 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}$. The work done by the motor is (external pressure $=10^{5} \mathrm{~N} / \mathrm{m}^{2}$ )

142718 Two substances of densities $\rho_{1}$ and $\rho_{2}$ are mixed in equal volume and the relative density of mixture is 4 . When they are mixed in equal masses, the relative density of the mixture is 3 . The values of $\rho_{1}$ and $\rho_{2}$ are

142720 Two miscible liquids of densities $2.5 \mathrm{~g} / \mathrm{cm}^{3}$ and $0.8 \mathrm{~g} / \mathrm{cm}^{3}$ are taken in the ratio $2: 3$ by mass and mixed. The average density of the resulting mixture is

142722 A liquid of density $800 \mathrm{~kg} / \mathrm{m}^{3}$ is filled in a cylindrical vessel up to a height of $3 \mathrm{~m}$. This cylindrical vessel stands on a horizontal plane. There is a circular hole on the side of the vessel. What should be the minimum diameter of the hole to move the vessel on the floor, if plug is removed. Take the coefficient of friction between the bottom of the vessel and the plane as 0.5 and total mass of vessel plus vessel as $95 \mathrm{~kg}$.

142717 $\quad 4 \mathrm{~m}^{3}$ of water is to be pumped to a height of 20 $m$ and forced into a reservoir at a pressure of $2 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}$. The work done by the motor is (external pressure $=10^{5} \mathrm{~N} / \mathrm{m}^{2}$ )

142718 Two substances of densities $\rho_{1}$ and $\rho_{2}$ are mixed in equal volume and the relative density of mixture is 4 . When they are mixed in equal masses, the relative density of the mixture is 3 . The values of $\rho_{1}$ and $\rho_{2}$ are

142720 Two miscible liquids of densities $2.5 \mathrm{~g} / \mathrm{cm}^{3}$ and $0.8 \mathrm{~g} / \mathrm{cm}^{3}$ are taken in the ratio $2: 3$ by mass and mixed. The average density of the resulting mixture is

142722 A liquid of density $800 \mathrm{~kg} / \mathrm{m}^{3}$ is filled in a cylindrical vessel up to a height of $3 \mathrm{~m}$. This cylindrical vessel stands on a horizontal plane. There is a circular hole on the side of the vessel. What should be the minimum diameter of the hole to move the vessel on the floor, if plug is removed. Take the coefficient of friction between the bottom of the vessel and the plane as 0.5 and total mass of vessel plus vessel as $95 \mathrm{~kg}$.