Which of the following option correctly describes the variation of the speed $v$  and acceleration $'a'$  of a point mass falling vertically in a viscous medium that applies a force $F = -kv,$ where $'k'$  is a constant, on the body? (Graphs are schematic and not drawn to scale)
JEE MAIN 2016, Medium
Download our app for free and get startedPlay store
When a point mass is falling vertically in a viscous medium, the medium or viscous fluid exerts drag force on the body to oppose its motion and at one stage body falling with constant terminal velocity
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 barometer kept in a stationary elevator reads $76 cm$. If the elevator starts accelerating up the reading will be
    View Solution
  • 2
    A air bubble of radius $1\,cm$ in water has an upward acceleration $9.8\, cm\, s ^{-2}$. The density of water is $1\, gm\, cm ^{-3}$ and water offers negligible drag force on the bubble. The mass of the bubble is$.......gm$

    $\left( g =980 \,cm / s ^{2}\right)$

    View Solution
  • 3
    Water is flowing through a tube of non-uniform cross-section. Ratio of the radius at entry and exit end of the pipe is $3$ : $2$. Then the ratio of velocities at entry and exit of liquid is
    View Solution
  • 4
    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
  • 5
    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
  • 6
    At what speed, the velocity head of water is equal to pressure head of $40 \,cm$ of mercury is ........ $m / s$
    View Solution
  • 7
    In an experiment to verify Stokes law, a small spherical ball of radius $r$ and density $\rho$ falls under gravity through a distance $h$ in air before entering a tank of water. If the terminal velocity of the ball inside water is same as its velocity just before entering the water surface, then the value of $h$ is proportional to :

    (ignore viscosity of air)

    View Solution
  • 8
    A hydraulic press containing water has two arms with diameters as mentioned in the figure. A force of $10 \mathrm{~N}$ is applied on the surface of water in the thinner arm. The force required to be applied on the surface of water in the thicker arm to maintain equilibrium of water is_________.${N}$.
    View Solution
  • 9
    A $50 \;kg$ girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter $1.0 \;cm$. What is the pressure exerted by the heel on the horizontal floor ?
    View Solution
  • 10
    Four identical beakers contain same amount of water as shown below. Beaker $A$ contains only water. A lead ball is held submerged in the beaker $B$ by string from above. A same sized plastic ball, say a table tennis $(TT)$ ball, is held submerged in beaker $C$ by a string attached to a stand from outside. Beaker $D$ contains same sized $TT$ ball which is held submerged from a string attached to the bottom of the beaker. These beakers (without stand) are placed on weighing pans and register readings $w_{A}, w_{B}, w_{C}$ and $w_{D}$ for $A, B, C$ and $D$, respectively. Effects of the mass and volume of the stand and string are to be neglected.
    View Solution