A thin metal disc of radius $r$ floats on water surface and bends the surface downwards along the perimeter making an angle $\theta$ with vertical edge of disc. If the disc displaces a weight of water $W$ and surface tension of water is $T$ , then the weight of metal disc is​

When water is filled carefully in a glass, one can fill it to a height $h$ above the rim of the glass due to the surface tension of water. To calculate $h$ just before water starts flowing, model the shape of the water above the rim as a disc of thickness $h$ having semicircular edges, as shown schematically in the figure. When the pressure of water at the bottom of this disc exceeds what can be withstood due to the surface tension, the water surface breaks near the rim and water starts flowing from there. If the density of water, its surface tension and the acceleration due to gravity are ${10}^3 \mathrm{kg} {\mathrm{m}}^{-3},0.07 \mathrm{N} {\mathrm{m}}^{-1}$ and $10 \mathrm{m} {\mathrm{s}}^{-2}$ respectively, the value of $h$ (in $\mathrm{mm}$) is ________.

When a long glass capillary tube of radius $0.015 \mathrm{cm}$ is dipped in a liquid, the liquid rises to a height of $15 \mathrm{cm}$ within it. If the contact angle between the liquid and glass is close to $0°$, the surface tension of the liquid, is $n$ Millinewton ${\mathrm{m}}^{-1}$. Write the value of $100n$.

$\left[{\rho }_{\text{(liquid) }}=900 \mathrm{kg} {\mathrm{m}}^{-3}, \mathrm{g}=10 \mathrm{m} {\mathrm{s}}^{-2}\right]$