The surface tension of $70 \text{ dynes/cm}$ is equal to:

  • A
    $70 \text{ N/m}$
  • B
    $70 \times 10^{-3} \text{ N/m}$
  • C
    $7 \times 10^2 \text{ N/m}$
  • D
    $7 \times 10^3 \text{ N/m}$

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Consider a water tank shown in the figure. It has one wall at $x=L$ and can be taken to be very wide in the $z$ direction. When filled with a liquid of surface tension $S$ and density $\rho$,the liquid surface makes an angle $\theta_0 \left(\theta_0 \ll 1\right)$ with the $x$-axis at $x=L$. If $y(x)$ is the height of the surface,then the equation for $y(x)$ is:
(Take $\theta(x) \approx \sin \theta(x) \approx \tan \theta(x) = \frac{dy}{dx}$,where $g$ is the acceleration due to gravity.)

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