A spherical marble of radius $1\, cm$ is stuck in a circular hole of radius slightly smaller than its own radius (for calculation purpose, both can be taken same) at the bottom of a bucket of height $40 \,cm$ and filled with water up to $10 \,cm$. If the mass of the marble is $20 \,g$, then the net force on the marble due to water is close to
  • A$0.02 \,N$ upwards
  • B$0.02 \,N$ downwards
  • C$0.04 \,N$ upwards
  • D$0.31 \,N$ downwards
KVPY 2017, 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
    Scent sprayer is based on
    View Solution
  • 2
    The pans of a physical balance are in equilibrium. Air is blown under the right hand pan; then the right hand pan will
    View Solution
  • 3
    $Assertion :$ A bubble comes from the bottom of a lake to the top.
    $Reason :$ Its radius increases.
    View Solution
  • 4
    To get the maximum flight, a ball must be thrown as
    View Solution
  • 5
    A fluid is flowing through a horizontal pipe of varying cross-section, with speed $v\;ms^{-1}$ at a point where the pressure is $P$ Pascal. At another point where pressure is $\frac{ P }{2}$ Pascal its speed is $V\;ms^{-1}$. If the density of the fluid is $\rho\, kg\, m ^{-3}$ and the flow is streamline, then $V$ is equal to
    View Solution
  • 6
    The velocity of a small ball of mass $0.3\,g$ and density $8\,g / cc$ when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $1.3\,g / cc$, then the value of viscous force acting on the ball will be $x \times 10^{-4}\,N$, the value of $x$ is [use $g=10\,m / s ^{2}$ ] 
    View Solution
  • 7
    A bubble of radius $R$ in water of density $\rho$ is expanding uniformly at speed $v$. Given that water is incompressible, the kinetic energy of water being pushed is
    View Solution
  • 8
    A tiny spherical oil drop carrying a net charge $q$ is balanced in still air with a vertical uniform electric field of strength $\frac{81 \pi}{7} \times 10^5 \mathrm{Vm}^{-1}$. When the field is switched off, the drop is observed to fall with terminal velocity $2 \times 10^{-3} \mathrm{~ms}^{-1}$. Given $\mathrm{g}=9.8 \mathrm{~ms}^{-2}$, viscosity of the air $=1.8 \times 10^{-5} \mathrm{Ns} \mathrm{m}^{-2}$ and the density of oil $=$ $900 \mathrm{~kg} \mathrm{~m}^{-3}$, the magnitude of $\mathrm{q}$ is
    View Solution
  • 9
    The weight of a body in water is one third of its weight in air. The density of the body is ....... $g / cm ^3$
    View Solution
  • 10
    A cube of wood supporting $200\,gm$ mass just floats in water. When the mass is removed, the cube rises by $2\, cm$. ............ $cm$ is the side of cube .
    View Solution