If it takes $5\,minutes$ to fill a $15\,litre$ bucket from a water tap of diameter $\frac{2}{{\sqrt \pi  }}cm$ then the Reynolds number for the flow is (density of water $= 10^3\,kg/m^3$ ) and viscosity of water $= 10^{-3}\,Pa.s$ ) close to
  • A$1100$
  • B$11,000$
  • C$550$
  • D$5500$
JEE MAIN 2015, 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
    The approximate depth of an ocean is $2700\,\, m.$ The compressibility of water is $45.4 \times 10^{-11} Pa^{-1}$ and density of water is $10^3 \,kg/m^3 $. What fractional compression of water will be obtained at the bottom of the ocean?
    View Solution
  • 2
    A cylindrical tube, with its base as shown in the figure, is filled with water. It is moving down with a constant acceleration $a$ along a fixed inclined plane with angle $\theta=45^{\circ} . P_1$ and $P_2$ are pressures at points 1 and 2 , respectively, located at the base of the tube. Let $\beta=\left(P_1-P_2\right) /(\rho g d)$, where $\rho$ is density of water, $d$ is the inner diameter of the tube and $g$ is the acceleration due to gravity. Which of the following statement($s$) is(are) correct?

    $(A)$ $\beta=0$ when $a= g / \sqrt{2}$

    $(B)$ $\beta>0$ when $a= g / \sqrt{2}$

    $(C)$ $\beta=\frac{\sqrt{2}-1}{\sqrt{2}}$ when $a= g / 2$

    $(D)$ $\beta=\frac{1}{\sqrt{2}}$ when $a= g / 2$

    View Solution
  • 3
    As the temperature of water increases, its viscosity
    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 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
  • 6
    A spherical ball of radius $1 \times 10^{-4} \mathrm{~m}$ and density $10^5$ $\mathrm{kg} / \mathrm{m}^3$ falls freely under gravity through a distance $h$ before entering a tank of water, If after entering in water the velocity of the ball does not change, then the value of $h$ is approximately:

    (The coefficient of viscosity of water is $9.8 \times 10^{-6}$ $\left.\mathrm{N} \mathrm{s} / \mathrm{m}^2\right)$

    View Solution
  • 7
    A drinking straw is dipped in a pan of water to depth d from the surface (see figure below). Now water is sucked into it up to an initial height $h_0$ and then left to oscillate. As a result, its height $y$ from the surface of the water varies periodically. Ignoring damping, the equation for $y$ is ( $g$ is the acceleration due to gravity):
    View Solution
  • 8
    Pressure at the bottom of a tank of water is $3P$, where $P$ is atmospheric pressure. If water is drawn out till the level of water is lowered by one fifth, then the pressure at the bottom of the tank is
    View Solution
  • 9
    In the case of a fluid, Bernoulli's theorem expresses the application of the principle of conservation of :
    View Solution
  • 10
    Pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of the containing vessel. This law was first formulated by
    View Solution