The surface tension of a liquid is 5 N/m. If a thin film of the area 0.02 m2 is formed on a loop, then its surface energy will be
$ w = T \times \triangle A $
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The surface tension of a liquid is 5 N/m. If a thin film of the area 0.02 m2 is formed on a loop, then its surface energy will be
$ w = T \times \triangle A $
A frame made of a metalic wire enclosing O surface area Ais covered with a soap film. If the area of the frame metalic wire is reduced by 50% the energy of the soap film will be changed by
$ Surface energy = Surface tension \times surface ared $ $ E = T \times 2 A $ $ New surface energy F_1 = T \times 2 \left( { A \over 2} \right) $ $ \% decrase in surface energy = { E - E_i \over E } \times 100 $
Two small drops mercury, each of radius R, coaless the form a single large drop. The ratio of the total surface energies before and after the change is.
The ration of the total surface energies before and after the change $ = n^{1 \over 2 } : 1 = 2 ^ {1 \over 3} : 1 $
The work done is blowing a soap bubble of 10 cm radius is (surface tension od the soap solution is 3/100 N/m )
$ w = 8 \pi R^2 T $
A big drop of radius R is formed by 1000 small droplets of coater then the radius of small drop is
$ { 4 \over 3} \pi R^ 3 $
8000 identioal water drops are combined to form a bigdrop. Then the ration of the final surface energy to the intilial surface energy of all the drops together is
$ As volume remains constant R^3 = 8000 r^ 3 R = 20 r $ $ {Surface energy of one big drop \over Surface energy of 8000 small drop } = - { 4 \pi R ^2 T \over 8000 4 \pi r^2 -1 } $
The relation between surface tension T. Surface area A and surface energy E is given by.
$ Tension = { surface energy \over Area } = or T ={ E \over A } $
A liquid wets a solid completely. The menisions of the liquid in a sufficiently long tube is
A liquid that wets a solid completely will have a concave meniscus in a sufficiently long tube. This is because the adhesive forces between the liquid and the solid are stronger than the cohesive forces within the liquid, causing the liquid to climb up the walls of the tube, forming a concave shape.
When two soap bubbles of radius $r_1 and r_2 (r_2 \gt r_1) $ coalesce, the radius of curvature of common surface is...........
When two soap bubbles coalesce, the radius of curvature of the common surface is given by the formula $ \\frac{r_1 r_2}{r_2 - r_1}$. This is derived from the balance of pressures inside and outside the bubbles and the properties of soap films.
The excess of pressure inside a soap bubble than that of the other pressure is
The excess pressure inside a soap bubble is given by the formula: $\Delta P = \frac{4T}{r}$, where $T$ is the surface tension and $r$ is the radius of the bubble. This is because a soap bubble has two surfaces (inner and outer), contributing to the factor of 4 in the formula.
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