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1.Units, Dimensions and Measurement
medium
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 $l$ and having a pressure difference $p$ across its end, is
A
$V = \frac{{\pi p{r^4}}}{{8\eta l}}$
B
$V = \frac{{\pi \eta l}}{{8p{r^4}}}$
C
$V = \frac{{8p\eta l}}{{\pi {r^4}}}$
D
$V = \frac{{\pi p\eta }}{{8l{r^4}}}$
Solution
(a) Formula for viscosity $\eta = \frac{{\pi p{r^4}}}{{8Vl}} \Rightarrow V = \frac{{\pi p{r^4}}}{{8\eta l}}$
Standard 11
Physics
Similar Questions
Match the following two coloumns
| Column $-I$ | Column $-II$ |
| $(A)$ Electrical resistance | $(p)$ $M{L^3}{T^{ – 3}}{A^{ – 2}}$ |
| $(B)$ Electrical potential | $(q)$ $M{L^2}{T^{ – 3}}{A^{ – 2}}$ |
| $(C)$ Specific resistance | $(r)$ $M{L^2}{T^{ – 3}}{A^{ – 1}}$ |
| $(D)$ Specific conductance | $(s)$ None of these |
medium
