An object is located at $2\, km$ beneath the surface of the water. If the fractional compression $\frac{\Delta V }{ V }$ is $1.36\, \%,$ the ratio of hydraulic stress to the corresponding hydraulic strain will be ......... . [Given : density of water is $1000\, kg m ^{-3}$ and $\left. g =9.8 \,ms ^{-2} .\right]$
  • A$1.96 \times 10^{7}\, Nm ^{-2}$
  • B$1.44 \times 10^{7}\, Nm ^{-2}$
  • C$2.26 \times 10^{9} Nm ^{-2}$
  • D$1.44 \times 10^{9} \,Nm ^{-2}$
JEE MAIN 2021, Medium
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
    Three identical vessels are filled to the same height with three different liquids $A, B$ and $C$  $({\rho _A} > {\rho _B} > {\rho _C})$. The pressure at the base will be
    View Solution
  • 2
    Water is filled up to a height $h$ in a beaker of radius $R$ as shown in the figure. The density of water is $\rho$, the surface tension of water is $T$ and the atmospheric pressure is $P_0$. Consider a vertical section $A B C D$ of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude
    View Solution
  • 3
    If it takes $5\,minutes$ to fill a $15\,litre$ bucket from a water tap of diameter $\frac{2}{{\sqrt \pi  }}cm$ then the Reynolds number for the flow is (density of water $= 10^3\,kg/m^3$ ) and viscosity of water $= 10^{-3}\,Pa.s$ ) close to
    View Solution
  • 4
    Three liquids of densities $d,\,2d$ and $3d$ are mixed in equal volumes. Then the density of the mixture is
    View Solution
  • 5
    A ball of mass $m$ and radius $ r $ is gently released in a viscous liquid. The mass of the liquid displaced by it is $m' $ such that $m > m'$. The terminal velocity is proportional to
    View Solution
  • 6
    Eight equal drops of water are falling through air with a steady speed of $10\,cm / s$. If the drops coalesce, the new velocity is $.........\,cm/s$
    View Solution
  • 7
    A machine is blowing spherical soap bubbles of different radii filled with helium gas.It is found that, if the bubbles have a radius smaller than $1\,cm$, then they sink to the floor in still air. Larger bubbles float in the air. Assume that the thickness of the soap film in all bubbles is uniform and equal. Assume that the density of soap solution is same as that of water $\left(=1000 \,kg m ^{-3}\right)$. The density of helium inside the bubbles and air are $0.18 \,kg m ^{-3}$ and $1.23 \,kg m ^{-3}$, respectively. Then, the thickness of the soap film of the bubbles is .......... $\mu m$ (Note $1 \,\mu m =10^{-6} \,m$ )
    View Solution
  • 8
    A vessel containing water is moving with a constant speed towards right along a straight horizontal path. if the vessel is given a constant retardation towards the right along a straight line, which of the above diagram represents the surface of the liquid?
    View Solution
  • 9
    A wooden cylinder floats vertically in water with half of its length immersed. The density of wood is
    View Solution
  • 10
    There are two identical small holes of area of cross-section a on the opposite sides of a tank containing a liquid of density $\rho $. The difference in height between the holes is $h$. Tank is resting on a smooth horizontal surface. Horizontal force which will has to be applied on the tank to keep it in equilibrium is
    View Solution