A cylinder of radius $4\ cm$ and height $10\ cm$ is immersed in two liquids as shown. Specific gravity of oil is $0.5$ . $2\ cm$ of cylinder is in the air. Select the $INCORRECT$ statement. Neglect atmospheric pressure.
  • A
    Force exerted by oil on the cylinder is zero.
  • BForce exerted by water on the cylinder is $0.96\,\pi $ newton.
  • CForce exerted by both water and oil is $1.14\,\pi $ newton.
  • D
    Frequency of oscillation does not depend on density of oil, if cylinder is displaced slightly.
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 relative density $0.8$ falls into water from a height of $2$ $m$. The depth to which the ball will sink is ........ $ m$ (neglect viscous forces) :
    View Solution
  • 2
    A sample of metal weighs $210 gm$  in air, $180 gm$  in water and $120 gm$  in liquid. Then relative density $(RD) $ of
    View Solution
  • 3
    An air bubble of radius $r$ rises steadily through a liquid of density $\rho $ with velocity $v$ . The coefficient of viscosity of liquid is
    View Solution
  • 4
    When a rubber ball is taken to a depth of $......\,{m}$ in deep sea, its volume decreases by $0.5\, \%$

    (The bulk modulus of rubber $=9.8 \times 10^{8}\, {Nm}^{-2}$ Density of sea water $=10^{3} {kgm}^{-3}$

    $\left.{g}=9.8\, {m} / {s}^{2}\right)$

    View Solution
  • 5
    A small metal sphere of radius $a$ is falling with a velocity $v$ through a vertical column of a viscous liquid. If the coefficient of viscosity of the liquid is $\eta $ , then the sphere encounters an opposing force of
    View Solution
  • 6
    The graph between terminal velocity (along $y-axis$ ) and square of radius (along $x-axis$ ) of spherical body of density $\rho $ allowed to fall through a fluid of density $\rho $  is $a$
    View Solution
  • 7
    A metallic block of density $5\,gm \,cm^{-3}$ and having dimensions $5 cm × 5 cm × 5 cm$ is weighed in water. Its apparent weight will be
    View Solution
  • 8
    The pressure of water in a water pipe when tap is opened and closed is respectively $3 \times 10^5\,N/m^2$ and $3.5 \times 10^5\,N/m^2$ . With open tap, the velocity of water flowing is ........... $m/s$
    View Solution
  • 9
    A spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball $(v)$ as a function of time $(t)$ is 
    View Solution
  • 10
    A tank is filled with water up to a height $H$. Water is allowed to come out of a hole $ P$  in one of the walls at a depth $ D $ below the surface of water. Express the horizontal distance $x$  in terms of $ H $ and $D$ 
    View Solution