143223 Water is flowing on a horizontal fixed surface, such that its flow velocity varies with y (vertical direction) as $v=k\left(\frac{2 y^{2}}{a^{2}}-\frac{y^{3}}{a^{3}}\right)$. If coefficient of viscosity for water is $\eta$, what will be shear stress between layers of water at $y=a$ ?

143224 The rate of flow of liquid through a capillary tube under a constant pressure difference is $Q$. On doubling the length of tube and reducing the diameter of tube to half, the rate of flow will become

143226 A cylindrical vessel is filled with water upto the height $1 \mathrm{~m}$ from the base. A small orifice is opened at some height in the cylinder and the water level is reduced to height of orifice in 20 s. If the base area of the cylinder is $\mathbf{1 0 0}$ times the area of orifice, then the height of orifice from the base is (take, $g=10 \mathrm{~m} / \mathrm{s}^{2}$ )

143227 A tank of height $15 \mathrm{~m}$ and cross-section area $10 \mathrm{~m}^{2}$ is filled with water. There is a small hole of cross-section area ' $a$ ' which is much smaller than the container, located at a height of $12 \mathrm{~m}$ from the base of the container. How much force should be applied with a piston at the top level, so that the water coming out of the hole hits the ground at a distance of $16 \mathrm{~m}$ ? (Take, density of water $=1000 \mathrm{~kg} \mathrm{~m}^{-3}$ )

143223 Water is flowing on a horizontal fixed surface, such that its flow velocity varies with y (vertical direction) as $v=k\left(\frac{2 y^{2}}{a^{2}}-\frac{y^{3}}{a^{3}}\right)$. If coefficient of viscosity for water is $\eta$, what will be shear stress between layers of water at $y=a$ ?

143224 The rate of flow of liquid through a capillary tube under a constant pressure difference is $Q$. On doubling the length of tube and reducing the diameter of tube to half, the rate of flow will become

143226 A cylindrical vessel is filled with water upto the height $1 \mathrm{~m}$ from the base. A small orifice is opened at some height in the cylinder and the water level is reduced to height of orifice in 20 s. If the base area of the cylinder is $\mathbf{1 0 0}$ times the area of orifice, then the height of orifice from the base is (take, $g=10 \mathrm{~m} / \mathrm{s}^{2}$ )

143227 A tank of height $15 \mathrm{~m}$ and cross-section area $10 \mathrm{~m}^{2}$ is filled with water. There is a small hole of cross-section area ' $a$ ' which is much smaller than the container, located at a height of $12 \mathrm{~m}$ from the base of the container. How much force should be applied with a piston at the top level, so that the water coming out of the hole hits the ground at a distance of $16 \mathrm{~m}$ ? (Take, density of water $=1000 \mathrm{~kg} \mathrm{~m}^{-3}$ )

143223 Water is flowing on a horizontal fixed surface, such that its flow velocity varies with y (vertical direction) as $v=k\left(\frac{2 y^{2}}{a^{2}}-\frac{y^{3}}{a^{3}}\right)$. If coefficient of viscosity for water is $\eta$, what will be shear stress between layers of water at $y=a$ ?

143224 The rate of flow of liquid through a capillary tube under a constant pressure difference is $Q$. On doubling the length of tube and reducing the diameter of tube to half, the rate of flow will become

143226 A cylindrical vessel is filled with water upto the height $1 \mathrm{~m}$ from the base. A small orifice is opened at some height in the cylinder and the water level is reduced to height of orifice in 20 s. If the base area of the cylinder is $\mathbf{1 0 0}$ times the area of orifice, then the height of orifice from the base is (take, $g=10 \mathrm{~m} / \mathrm{s}^{2}$ )

143227 A tank of height $15 \mathrm{~m}$ and cross-section area $10 \mathrm{~m}^{2}$ is filled with water. There is a small hole of cross-section area ' $a$ ' which is much smaller than the container, located at a height of $12 \mathrm{~m}$ from the base of the container. How much force should be applied with a piston at the top level, so that the water coming out of the hole hits the ground at a distance of $16 \mathrm{~m}$ ? (Take, density of water $=1000 \mathrm{~kg} \mathrm{~m}^{-3}$ )

143223 Water is flowing on a horizontal fixed surface, such that its flow velocity varies with y (vertical direction) as $v=k\left(\frac{2 y^{2}}{a^{2}}-\frac{y^{3}}{a^{3}}\right)$. If coefficient of viscosity for water is $\eta$, what will be shear stress between layers of water at $y=a$ ?

143224 The rate of flow of liquid through a capillary tube under a constant pressure difference is $Q$. On doubling the length of tube and reducing the diameter of tube to half, the rate of flow will become

143226 A cylindrical vessel is filled with water upto the height $1 \mathrm{~m}$ from the base. A small orifice is opened at some height in the cylinder and the water level is reduced to height of orifice in 20 s. If the base area of the cylinder is $\mathbf{1 0 0}$ times the area of orifice, then the height of orifice from the base is (take, $g=10 \mathrm{~m} / \mathrm{s}^{2}$ )

143227 A tank of height $15 \mathrm{~m}$ and cross-section area $10 \mathrm{~m}^{2}$ is filled with water. There is a small hole of cross-section area ' $a$ ' which is much smaller than the container, located at a height of $12 \mathrm{~m}$ from the base of the container. How much force should be applied with a piston at the top level, so that the water coming out of the hole hits the ground at a distance of $16 \mathrm{~m}$ ? (Take, density of water $=1000 \mathrm{~kg} \mathrm{~m}^{-3}$ )