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9.2 , surface tension — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics9.2 , surface tension1 Mark
MCQ
The water rises in the capillary to a height of $10\, cm$. If the surface tension of water is $73 \times 10^{-3}\, N/m$, density is $10^3\, kg/m^3$ and $g = 9.8\, m/sec^2$, then find radius of capillary
  • A
    $0.02\, cm$
  • ✓
    $0.015\, cm$
  • C
    $0.05\, cm$
  • D
    $0.08\, cm$
✓

Answer

Correct option: B.
$0.015\, cm$
b
$\mathrm{h}=\frac{2 \mathrm{T}}{\mathrm{r} \rho \mathrm{g}} \Rightarrow \mathrm{r}=\frac{2 \mathrm{T}}{\mathrm{h} \rho \mathrm{g}}$

$r=\frac{2 \times 73 \times 10^{-3}}{10 \times 10^{-2} \times 10^{3} \times 9.8}=0.015 \mathrm{cm}$

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