The mass of a liquid flowing per second per unit area of cross section of a tube is proportional to $P^x$ and $v^y$ , where $P$ is the pressure difference and $v$ is the velocity. Then, the relation between $x$ and $y$ is
  • A$x = y$
  • B$x = -y$
  • C$x = -y^2$
  • D$y = x^2$
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
    In equation $y=x^2 \cos ^2 2 \pi \frac{\beta \gamma}{\alpha}$, the units of $x, \alpha, \beta$ are $m , s ^{-1}$ and $\left( ms ^{-1}\right)^{-1}$ respectively. The units of $y$ and $\gamma$ are
    View Solution
  • 2
    Stokes' law states that the viscous drag force $F$ experienced by a sphere of radius $a$, moving with a speed $v$ through a fluid with coefficient of viscosity $\eta$, is given by $F=6 \pi \eta a v$.If this fluid is flowing through a cylindrical pipe of radius $r$, length $l$ and a pressure difference of $p$ across its two ends, then the volume of water $V$ which flows through the pipe in time $t$ can be written as

    $\frac{v}{t}=k\left(\frac{p}{l}\right)^a \eta^b r^c$

    where, $k$ is a dimensionless constant. Correct value of $a, b$ and $c$ are

    View Solution
  • 3
    The dimensional formula for Boltzmann's constant is
    View Solution
  • 4
    In $S = a + bt + c{t^2}$. $S$ is measured in metres and $t$ in seconds. The unit of $c$ is
    View Solution
  • 5
    Inductance $L$ can be dimensionally represented as
    View Solution
  • 6
    Unit of energy is
    View Solution
  • 7
    If $\varepsilon_0$ is the permittivity of free space and $E$ is the electric field, then $\varepsilon_0 E^2$ has the dimensions
    View Solution
  • 8
    The radius of a circle is $2.12$ metre. Its area according to the rule of significant figures is ......... $m ^2$
    View Solution
  • 9
    In terms of potential difference $V$, electric current $I$, permittivity $\varepsilon_0$, permeability $\mu_0$ and speed of light $c$, the dimensionally correct equation$(s)$ is(are)

    $(A)$ $\mu_0 I ^2=\varepsilon_0 V ^2$ $(B)$ $\varepsilon_0 I =\mu_0 V$ $(C)$ $I =\varepsilon_0 cV$ $(D)$ $\mu_0 cI =\varepsilon_0 V$

    View Solution
  • 10
    If $Q= \frac{X^n}{Y^m}$ and $\Delta X$ is absolute error in the measurement of $X,$ $\Delta Y$ is absolute error in the measurement of $Y,$ then absolute error $\Delta Q$ in $Q$ is 
    View Solution