A cylindrical vessel of $90 cm$ height is kept filled upto the brim. It has four holes $ 1, 2, 3, 4$ which are respectively at heights of $20 cm, 30 cm, 45 cm $ and $50 cm$ from the horizontal floor $PQ.$ The water falling at the maximum horizontal distance from the vessel comes from
Medium
Download our app for free and get started
(b) Horizontal range will be maximum when $h = \frac{H}{2} = \frac{{90}}{2}$
$= 45 cm$ i.e. hole $3.$
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
A dumbbell is placed in water of density $\rho$ . It is observed that by attaching a mass $m$ to the rod, the dumbbell floats with the rod horizontal on the surface of water and each sphere exactly half submerged as shown in the figure. The volume of the mass $m$ is negligible. The value of length $l$ is
A cyclindrical vessel of cross-sectional area $1000$ $cm^2$, is fitted with a frictionless piston of mass $10$ $kg$, and filled with water completely.A small hole of cross-sectional area $10$ $mm^2$ is opened at a point $50$ $cm$ deep from the lower surface of the piston. The velocity of efflux from the hole will be ........... $m/s$
A body having volume $V$ and density $\rho$ is attached to the bottom of a container as shown. Density of the liquid is $d( > \rho )$. Container has a constant upward acceleration $a.$ Tension in the string is
A Newtonian fluid fills the clearance between a shaft and a sleeve. When a force of $800$ $N$ is applied to the shaft, parallel to the sleeve, the shaft attains a speed of $1.5$ $cm/sec$. If a force of $2.4$ $kN$ is applied instead, the shaft would move with a speed of ......... $ cm/sec$
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:
A cube of external dimension $10\ cm$ has an inner cubical portion of side $5\ cm$ whose density is twice that of the outer portion. If this cube is just floating in a liquid of density $2\ g/cm^3$, find the density of the inner portion
The two thigh bones (femures), each of cross-sectional area $10 \,cm ^2$ support the upper part of a person of mass $50 \,kg$. The average pressure sustained by the femures is ............. $N / m ^2$
A water barrel stands on a table of height $h$. If a small hole is punched in the side of the barrel at its base, it is found that the resultant stream of water strikes the ground at a horizonatal distance $R$ from the barrel. The depth of water in the barrel is