If a ball of steel (density $\rho=7.8 \;gcm ^{-3}$) attains a terminal velocity of $10 \;cms ^{-1}$ when falling in a tank of water (coefficient of viscosity $\eta_{\text {water }}=8.5 \times 10^{-4} \;Pa - s$ ) then its terminal velocity in glycerine $\left(\rho=12 gcm ^{-3}, \eta=13.2\right)$ would be nearly
  • A$1.6 \times 10^{-5} \;cms ^{-1}$
  • B$6.25 \times 10^{-4} \;cms ^{-1}$
  • C$6.45 \times 10^{-4}\; cms ^{-1}$
  • D$1.5 \times 10^{-5}\; cms ^{-1}$
AIEEE 2011, 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 vertical $U-$ tube of uniform inner cross section contains mercury in both sides of its arms. A glycerin (density = $1.3 g/cm^3$) column of length $10 $ $cm $ is introduced into one of its arms. Oil of density $0.8 gm/cm^3$ is poured into the other arm until the upper surfaces of the oil and glycerin are in the same horizontal level. Find the length of the oil column ........ $cm$. Density of mercury = $13.6 g/cm^3$
    View Solution
  • 2
    A cylindrical tank of height $1$ $m$ and cross section area $A$ $=$ $4000$ $cm^2$ is initially empty when it is kept under a tap of cross sectional area $1$ $cm^2$. Water starts flowing from the tap at $t$ $=$ $0$, with a speed $= $ $2$ $m/s$. There is a small hole in the base of the tank of cross-sectional area $0.5$ $cm^2$. The variation of height of water in tank (in meters) with time $t$ is best depicted by
    View Solution
  • 3
    A liquid of mass $1$ $kg$ is filled in a flask as shown in figure. The force exerted by the flask on the liquid is $(g = 10\  m/s^2)$[Neglect atmospheric pressure]:
    View Solution
  • 4
    What is the pressure on a swimmer $20 \,m$ below the surface of water ........ $atm$
    View Solution
  • 5
    A tank with a small hole at the bottom has been filled with water and kerosene (specific gravity $0.8$). The height of water is $3\,m$ and that of kerosene $2\,m$. When the hole is opened the velocity of fluid coming out from it is nearly ........ $ms^{-1}$ .(take $g\, = 10\, m s^{-2}$ and density of water $= 10^3\, kg\, m^{-3}$)
    View Solution
  • 6
    A vertical tank, open at the top, is filled with a liquid and rests on a smooth horizontal surface.$A$ small hole is opened at the centre of one side of the tank. The area of cross-section of the tank is $N$ times the area of the hole, where $N$ is a large number. Neglect mass of the tank itself. The initial acceleration of the tank is 
    View Solution
  • 7
    Two solids $A$  and $ B$  float in water. It is observed that $A$  floats with $\frac{1}{2}$ of its body immersed in water and $ B$  floats with $\frac{1}{4}$ of its volume above the water level. The ratio of the density of $ A$  to that of $B$  is
    View Solution
  • 8
    A hydraulic press can lift $100\, kg$ when a mass $'m'$ is placed on the smaller piston. It can lift ......... $kg$ when the diameter of the larger piston is increased by $4$ times and that of the smaller piston is decreased by $4$ times keeping the same mass $'m'$ on the smaller piston.
    View Solution
  • 9
    Figure shows a three arm tube in which a liquid is filled upto levels of height $l$. It is now rotated at an angular frequency $\omega$ about an axis passing through arm $B$. The angular frequency $\omega$ at which level of liquid in arm $B$ becomes zero. 
    View Solution
  • 10
    Mercury is filled in a tube of radius $2 \mathrm{~cm}$ up to a height of $30 \mathrm{~cm}$. The force exerted by mercury on the bottom of the tube is. . . . . . $\mathrm{N}$.

    (Given, atmospheric pressure $=10^5 \mathrm{Nm}^{-2}$, density of mercury $=1.36 \times 10^4 \mathrm{~kg} \mathrm{~m}^3, \mathrm{~g}=10 \mathrm{~ms}^2$, $\left.\pi=\frac{22}{7}\right)$

    View Solution