Respuesta :
Explanation:
Relation between density, height, and surface tension is as follows.
[tex]\gamma = \frac{1}{2} \rho \times g \times h \times r[/tex]
The given data is as follows.
Density, ([tex]\rho[/tex]) = 998.2 [tex]kg/m^{3}[/tex]
g = 9.807 m/s
h = 4.96 cm = [tex]4.96 \times 10^{-2} m[/tex] (as 1 m = 100 cm)
r = 0.3 mm = [tex]3 \times 10^{-4} m[/tex] (as 1 m = 10000 mm)
Therefore, putting the given values into the above formula and calculate the surface tension as follows.
[tex]\gamma = \frac{1}{2} \rho \times g \times h \times r[/tex]
= [tex]\frac{1}{2} 998.2 kg/m^{3} \times 9.807 m/s^{2} \times 4.96 \times 10^{-2}m \times 3 \times 10^{-4} m[/tex]
= [tex]72832 \times 10^{-6} kg/s^{2}[/tex]
or, = [tex]7.28 \times 10^{-2} N/m[/tex]
Thus, we can conclude that value of surface tension is [tex]7.28 \times 10^{-2} N/m[/tex].
