Water flows in a streamlined manner through a capillary tube of r… - Vidyadip

MCQ

Water flows in a streamlined manner through a capillary tube of radius $a$, the pressure difference being $P$ and the rate of flow $Q$. If the radius is reduced to $a/2$ and the pressure increased to $ 2P, $ the rate of flow becomes

A
$4Q$
B
$Q$
C
$\frac{Q}{4}$
✓
$\frac{Q}{8}$

✓

Answer

Correct option: D.

$\frac{Q}{8}$

d
(d)$V = \frac{{\pi p{r^4}}}{{8\eta l}}$

$V \propto P\,{r^4}$($\eta \;{\rm{and }}l$ are constants)

$\frac{{{V_2}}}{{{V_1}}} = \left( {\frac{{{P_2}}}{{{P_1}}}} \right)\;{\left( {\frac{{{r_2}}}{{{r_1}}}} \right)^4}$= $2 \times {\left( {\frac{1}{2}} \right)^4}$= $\frac{1}{8}$

${V_2} = \frac{Q}{8}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 9.1 , fluid mechanics→9.1 , fluid mechanics — all question types→Physics STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Time period of a simple pendulum is $T$ inside a lift when the lift is stationary. If the lift moves upwards with an acceleration $g / 2,$ the time period of pendulum will be

A block of mass $1 \,kg$ attached to a spring is made to oscillate with an initial amplitude of $12\, cm$. After $2\, minutes$ the amplitude decreases to $6\, cm$. Determine the value of the damping constant for this motion. (take In $2=0.693$ )

A source supplies heat to a system at the rate of $1000 \,W$. If the system performs work at a rate of $200\,W$. The rate at which internal energy of the system increases $.......\,W$

Dimensions of resistance in an electrical circuit in terms of dimension of mass $M,$ of length $L$ of time $T$ and of current $I$ , would be

The rotation of earth about its axis is:

Figure shows the $F-x$ graph. Where $F$ is the force applied and $x$ is the distance coveredby the body along a straight line path. Given that $F$ is in newton and $x$ in metre, ........ $J$ is the work done.

If speed of sound in air in $330 \,m / s$ then, find the number of tones present in an open organ pipe of length $1\, m$ whose frequency if $\leq 1000$.

If pressure of $C{O_2}$ (real gas) in a container is given by $P = \frac{{RT}}{{2V - b}} - \frac{a}{{4{b^2}}}$ then mass of the gas in container is ...... $gm$

One second is equal to

Distance of the centre of mass of a solid uniform cone from its vertex is $z_0$ . If the radius of its base is $R$ and its height is $h$ then $z_0$ is equal to