Question

A vessel of radius 12 cm is filled with mercury.the force of tension on any diametrical line on its surface is[ surface tension of water is 0.4355N/m]

Answer 1

Given :-

• A vessel of radius 12 cm filled with Mercury.

• Surface tension of mercury is 0.4355N/m

To Find :-

• Force of tension on diametrical line on surface

Solution :-

Given that

• Radius of vessel, r = 12 cm

So,

• Diameter of vessel, d = 2r = 24 cm = 0.24 m

• Surface tension of mercury is 0.4355N/m

We know that,

$\rm :\longmapsto\:Surface \: tension =\dfrac{Force}{Length}$

$\rm :\implies\:Force = Surface \times tension \times Length$

$\rm :\implies\:Force = Surface \: tension \times diameter$

$\rm :\implies\:Force = 0.4355 \times 0.24$

$\rm :\implies\:Force = 1.0452 \times {10}^{ - 1} \: N$