Download App
A cone of radius $R$ and height $H$, is hanging inside a liquid of density $\rho$ by means of a string as shown in the figure. The force, due to the liquid acting on the slant surface of the cone is
  • A$\rho \pi gHR^2$
  • B$\pi \rho HR^2$
  • C$\frac{4}{3}$ $ \pi \rho gHR^2$
  • D$\frac{2}{3}$ $ \pi \rho gHR^2 $
Advanced
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.*
Download App

Similar Questions

  • 1
    A uniformly tapering vessel is filled with a liquid of density $900 kg/m^3.$  The force that acts on the base of the vessel due to the liquid is ......... $N$. $(g = 10\,m{s^{ - 2}})$
    View Solution
  • 2
    A solid cube and a solid sphere both made of same material are completely submerged in water but to different depths. The sphere and the cube have same surface area. The buoyant force is
    View Solution
  • 3
    What is the velocity $v$  of a metallic ball of radius $r$  falling in a tank of liquid at the instant when its acceleration is one-half that of a freely falling body ? (The densities of metal and of liquid are $\rho$ and $\sigma$ respectively, and the viscosity of the liquid is $\eta$).
    View Solution
  • 4
    A metallic body of material with density of $8000\  kg/m^3$ has a cavity inside. A spring balance shows its mass to be $10.0\  kg$ in air and $7.5\  kg$ when immersed in water. The ratio of the volume of the cavity to the volume of the material of the body must be
    View Solution
  • 5
    A cylindrical vessel filled with water is released on an inclined surface of angle $\theta$ as shown in figure.The friction coefficient of surface with vessel is $\mu( < \tan \theta)$.Then the contact angle made by the surface of water with the incline will be
    View Solution
  • 6
    A vertical tank, open at the top, is filled with a liquid and rests on a smooth horizontal surface.$A$ small hole is opened at the centre of one side of the tank. The area of cross-section of the tank is $N$ times the area of the hole, where $N$ is a large number. Neglect mass of the tank itself. The initial acceleration of the tank is 
    View Solution
  • 7
    Blood velocity: The flow of blood in a large artery of an anesthetised dog is diverted through a Venturi meter. The wider part of the meter has a crosssectional area equal to that of the artery. $A = 8\; mm^2$. The narrower part has an area $a = 4 \;mm^2$. The pressure drop in the artery is $24\; Pa$. What is the speed (in $m/s$) of the blood in the artery?
    View Solution
  • 8
    The shown $H$ shaped apparatus contains an ideal incompressible liquid and has dimension as shown in figure . The diameters of the Tubes  are small as  compared to $h$ and $R$. The apparatus is rotated with a constant angular velocity $\omega$  about a symmetric vertical axis as shown in figure. The pressure at point $A$ is
    View Solution
  • 9
    A cylindrical vessel of base radius $R$ and height $H$ has a narrow neck of height $h$ and radius $r$ at one end (see figure). The vessel is filled with water (density $\rho_w$ ) and its neck is filled with immiscible oil (density $\rho_0$ ). Then, the pressure at
    View Solution
  • 10
    Small water droplets of radius $0.01 \mathrm{~mm}$ are formed in the upper atmosphere and falling with a terminal velocity of $10 \mathrm{~cm} / \mathrm{s}$. Due to condensation, if $8 \mathrm{such}$ droplets are coalesced and formed a larger drop, the new terminal velocity will be ........... $\mathrm{cm} / \mathrm{s}$.
    View Solution