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The spring balance $A$ reads $2$ $kg$ with a block $m $ suspended from it. $A$ balance $B$ reads $5$ $kg$ when a beaker with liquid is put on the pan of the balance. The two balances are now so arranged that the hanging mass is inside the liquid in the beaker as shown in the figure in this situation:
$10,000 $ small balls, each weighing $1\, gm$, strike one square cm of area per second with a velocity $100 \,m/s$ in a normal direction and rebound with the same velocity. The value of pressure on the surface will be
Spherical balls of radius $ 'r'$ are falling in a viscous fluid of viscosity '$\eta$' with a velocity $ 'v'. $ The retarding viscous force acting on the spherical ball is
A cylindrical vessel open at the top is $20$ $cm $ high and $10$ $cm$ in diameter. A circular hole whose cross-sectional area $1$ $cm^2$ is cut at the centre of the bottom of the vessel. Water flows from a tube above it into the vessel at the rate $100$ $cm^3$ $s^{^{-1}}$. The height of water in the vessel under steady state is ....... $cm$ (Take $g$ $=$ $1000 $ $cm s^{^{-2}})$
Water is flowing in a pipe of diameter $ 4 cm$ with a velocity $3 m/s. $ The water then enters into a tube of diameter $ 2 cm.$ The velocity of water in the other pipe is .......... $m/s$
Under a constant pressure head, the rate of flow of liquid through a capillary tube is $V$. If the length of the capillary is doubled and the diameter of the bore is halved, the rate of flow would become
The rate of steady volume flow of water through a capillary tube of length $ 'l' $ and radius $ 'r' $ under a pressure difference of $P$ is $V$. This tube is connected with another tube of the same length but half the radius in series. Then the rate of steady volume flow through them is (The pressure difference across the combination is $ P$)
A liquid of density $750\,kgm ^{-3}$ flows smoothly through a horizontal pipe that tapers in crosssectional area from $A _{1}=1.2 \times 10^{-2}\,m ^{2}$ to $A_{2}=\frac{A_{1}}{2}$. The pressure difference between the wide and narrow sections of the pipe is $4500\,Pa$. The rate of flow of liquid is________$\times 10^{-3}\,m ^{3} s ^{-1}$