Some liquid is filled in a cylindrical vessel of radius $R$. Let $ F_1 $ be the force applied by the liquid on the bottom of the cylinder. Now the same liquid is poured into a vessel of uniform square crss-section of side $R$. Let $F_2$ be the force applied by the liquid on the bottom of this new vessel. Then:
  • A$F_1 = \pi F_2 $
  • B$F_1 =$ $\frac{{{F_2}}}{\pi }$
  • C$F_1 = $ $\sqrt \pi  {F_2}$
  • D$F_1 = F_2$
Diffcult
art

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.*

Similar Questions

  • 1
    A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure. The radius of vessel is $5\, cm$ and the angular speed of rotation is  $\omega\; rad \,s^{-1}$. The difference in the height, $h($ in $cm )$ of liquid at the centre of vessel and at the side will be
    View Solution
  • 2
    Two capillaries of same length and radii in the ratio $1 : 2$  are connected in series. A liquid flows through them in streamlined condition. If the pressure across the two extreme ends of the combination is $ 1 m$  of water, the pressure difference across first capillary is...... $m$
    View Solution
  • 3
    A cylindrical tank has a hole of $1 cm^2$ in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of $70 cm^3/sec$. then the maximum height up to which water can rise in the tank is  .......... $cm$
    View Solution
  • 4
    By sucking through a straw, a student can reduce the pressure in his lungs to $750\, mm\, of\, Hg$ (density $= 13.6\, gm/cm^3$). Using the straw, he can drink water from a glass upto a maximum depth of ....... $cm$
    View Solution
  • 5
    Eight spherical rain drops of the same mass and radius are falling down with a terminal speed of $6\, cm -s^{-1}$ . If they coalesce to form one big drop, what will be the terminal speed of the bigger drop ? (Neglect the buoyancy of the air) ....... $cm -s^{-1}$
    View Solution
  • 6
    A uniform rod of density $\rho $ is placed in a wide tank containing a liquid of density ${\rho _0}({\rho _0} > \rho )$. The depth of liquid in the tank is half the length of the rod. The rod is in equilibrium, with its lower end resting on the bottom of the tank. In this position the rod makes an angle $\theta $ with the horizontal
    View Solution
  • 7
    A container of liquid release from the rest, on a smooth inclined plane as shown in the figure. Length of at the inclined plane is sufficient, and assume liquid finally equilibrium. Finally liquid surface makes an angle with horizontal ...... $^o$
    View Solution
  • 8
    A large tank is filled with water (density $=$ $10^3 $ $kg/m^3$).A small hole is made at a depth $10$ $m$ below water surface. The range of water issuing out of the hole is Ron ground. What extra pressure must be applied on the water surface so that the range becomes $2R $ (take $1$ $atm$ $=$ $10^5$ $Pa$ and $g$ $=$ $10$ $m/s^2):$ ...... $atm$
    View Solution
  • 9
    The terminal velocity of a copper ball of radius $5\,mm$ falling through a tank of oil at room temperature is $10\,cm\,s ^{-1}$. If the viscosity of oil at room temperature is $0.9\,kg\,m ^{-1} s ^{-1}$, the viscous drag force is :
    View Solution
  • 10
    A vertical U-tube of uniform cross-section contains water in both the arms. A $10 \,cm$ glycerine column ($R.D$. $=1.2$ ) is added to one of the limbs. The level difference between the two free surfaces in the two limbs will be ...... $cm$
    View Solution