A dimensionally consistent relation for the volume V of a liquid of coefficient of viscosity ' $\eta$ ' flowing per second, through a tube of radius $r$ and length / and having a pressure difference $P$ across its ends, is
  • A$V=\frac{\pi P r^4}{8 \eta l}$
  • B$V=\frac{\pi \eta}{8 P r^4}$
  • C$V=\frac{8 P \eta}{\pi r^4}$
  • D$V=\frac{\pi P \eta}{8 r^4}$
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
    Which of the following is not a unit of energy
    View Solution
  • 2
    If ${u_1}$ and ${u_2}$ are the units selected in two systems of measurement and ${n_1}$ and ${n_2}$ their numerical values, then
    View Solution
  • 3
    The least count of the main scale of a vernier callipers is $1\, mm$. Its vernier scale is divided into $10$ divisions and coincide with $9$ divisions of the main scale. When jaws are touching each other, the $7$ th division of vernier scale coincides with a division of main scale and the zero of vernier scale is lying right side of the zero of main scale. When this vernier is used to measure length of a cylinder the zero of the vernier scale between $3.1\, cm$ and $3.2\, cm$ and $4^{th}$ $VSD$ coincides with a main scale division.The length of the cylinder is $.....cm$

    ($VSD$ is vernier scale division)

    View Solution
  • 4
    An athletic coach told his team that muscle times speed equals power. What dimensions does he view for muscle
    View Solution
  • 5
    The radius of a sphere is measured to be $(7.50 \pm 0.85) \,cm .$ Suppose the percentage error in its volume is $x$. The value of $x$, to the nearest integer is .....$\%$
    View Solution
  • 6
    In the relation : $\frac{d y}{d x}=2 \omega \sin \left(\omega t+\phi_0\right)$ the dimensional formula for $\left(\omega t+\phi_0\right)$ is :
    View Solution
  • 7
    The equation of a wave is given by$Y = A\sin \omega \left( {\frac{x}{v} - k} \right)$where $\omega $ is the angular velocity and $v$ is the linear velocity. The dimension of $k$ is
    View Solution
  • 8
    The diameter of a cylinder is measured using a vernier callipers with no zero error. It is found that the zero of the vernier scale lies between $5.10 \ cm$ and $5.15 \ cm$ of the main scale. The vernier scale has $50$ division equivalent to $2.45 \ cm$. The $24^{\text {th }}$ division of the vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is :
    View Solution
  • 9
    A torque meter is calibrated to reference standards of mass, length and time each with $5 \%$ accuracy. After calibration, the measured torque with this torque meter will have net accuracy of$............\%$
    View Solution
  • 10
    If $97.52$ is divided by $2.54$, the correct result in terms of significant figures is
    View Solution