Download App

1. units,dimensions and measurement — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics1. units,dimensions and measurement1 Mark
MCQ
The following observations were taken for determining surface tension $T$ of water by capillary method:

diameter of capillary, $D= 1.25 \times 10^{-2}\; m$

rise of water, $h=1.45 \times 10^{-2}\; m $ 

Using $g= 9.80 \;m/s^2$ and the simplified relation $T = \frac{{rhg}}{2}\times 10^3 N/m$ , the possible error in surface tension is ........... $\%$

  • A
    $0.15 $
  • ✓
    $1.5$
  • C
    $2.4$
  • D
    $10$
✓

Answer

Correct option: B.
$1.5$
b
$\mathrm{T}=\frac{\mathrm{rhg}}{2} \times 10^{3} \mathrm{N} / \mathrm{m}$

$\frac{\Delta \mathrm{T}}{\mathrm{T}}=\left|\frac{\Delta \mathrm{r}}{\mathrm{r}}\right|+\left|\frac{\Delta \mathrm{h}}{\mathrm{h}}\right|=\frac{0.01}{1.25}+\frac{0.01}{1.45}$

$\%$ error $=\frac{\Delta \mathrm{T}}{\mathrm{T}} \times 100=\frac{1}{1.25}+\frac{1}{1.45}=0.8+0.69=1.5 \%$

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 1. units,dimensions and measurement→1. units,dimensions and measurement — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The mean free path of gas molecules depends on $(d =$ molecular diameter$)$
→
car moves on a circular road. It describes equal angles about the centre in equal intervals of time. Which of the following statement about the velocity of the car is true
→
According to $C.E.$ van der Waal, the interatomic potential varies with the average interatomic distance $(R)$ as
→
Given in the figure are two blocks $A$ and $B$ of weight $20\ N$ and $100\ N,$ respectively. These are being pressed against a wall by a force $F$ as shown. If the coefficient of friction between the blocks is $0.1$ and between block $B$ and the wall is $0.15$, the frictional force applied by the wall on block $B$ is ........... $N$
→
The springs in figure. $A$ and $B$ are identical but length in $A$ is three times that in $B$. The ratio of period $T_A/T_B$ is
→
Equal masses of three liquids $A, B$ and $C$ have temperatures $10\,^oC$, $25\,^oC$ and $40\,^oC$ respectively. If $A$ and $B$ are mixed, the mixture has a temperature of $15\,^oC$. If $B$ and $C$ are mixed then mixture has temperature of $30\,^oC$. If $A$ and $C$ are mixed, the mixture will have a temperature of ........ $^oC$
→
Which of the following quantities are always negative in a simple harmonic motion?
  1. $\overrightarrow{\text{F}}.\overrightarrow{\text{a}}$
  2. $\overrightarrow{\text{v}}.\overrightarrow{\text{r}}$
  3. $\overrightarrow{\text{a}}.\overrightarrow{\text{r}}$
  4. $\overrightarrow{\text{F}}.\overrightarrow{\text{r}}$
→
A barometer kept in an elevator reads $76 \,cm$ when it is at rest. If the elevator goes up with some acceleration, the reading will be .......... $cm$
→
Two masses $M$ and $m$ are connected by a weightless string. They are pulled by a force $F$ on a frictionless horizontal surface., the acceleration of mass $m$ is
→
The force constant of a wire does not depend on
→