A solid sphere of density $\eta$ $( > 1)$  times lighter than water is suspended in a water tank by a string tied to its base as shown in fig. If the mass of the sphere is m then the tension in the string is given by
  • A$\left( {\frac{{\eta - 1}}{\eta }} \right)\,mg$
  • B$\eta mg$
  • C$\frac{{mg}}{{\eta - 1}}$
  • D$(\eta - 1)\,mg$
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
    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
  • 2
    A wide vessel with a small hole at the bottom is filled with two liquids. The density and heightof one liquid are $\rho_1$ and $h_1$ and that of the otherare  $\rho_2$ and $h_2 \ (\rho_1 >\rho_2)$. The velocity of liquid coming out of the hole is :
    View Solution
  • 3
    Two cubes of size $1.0$ $m$ sides, one of relative density $0.60$ and another of relative density $=$ $1.15$ are connected by weightless wire and placed in a large tank of water. Under equilibrium the lighter cube will project above the water surface to a height of ........ $cm$
    View Solution
  • 4
    An ice berg of density $900 Kg/m^3$ is floating in water of density $1000 Kg/m^3$. The percentage of volume of ice-cube outside the water is ...... $\%$
    View Solution
  • 5
    A small wooden ball of density $ \rho$ is immersed in water of density $\sigma $ to depth $h $ and then released. The height $H$ above the surface of water up to which the ball will jump out of water is
    View Solution
  • 6
    Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$

    Assertion $A:$ When you squeeze one end of a tube to get toothpaste out from the other end, Pascal's principle is observed.

    Reason $R:$ A change in the pressure applied to an enclosed incompressible fluid is transmitted undiminished to every portion of the fluid and to the walls of its container.

    In the light of the above statements, choose the most appropriate answer from the options given below

    View Solution
  • 7
    If there were no gravity. which of the following will not be there for a fluid?
    View Solution
  • 8
    Two different liquids are flowing in two tubes of equal radius. The ratio of coefficients of viscosity of liquids is $52:49$ and the ratio of their densities is $13:1$, then the ratio of their critical velocities will be
    View Solution
  • 9
    A light semi cylindrical gate of radius $R$ is piovted at its mid point $O$, of the diameter as shown in the figure holding liquid of density $\rho $. The force $F$ required to prevent the rotation of the gate is equal to 
    View Solution
  • 10
    Select wrong statement about pressure ..........
    View Solution