suppose an oil drop has a volume 0.10mm^3 and forms a film with a radius of 10cm.Calculate the thickness of the oil film

Answer 1

To calculate the thickness of the oil film, we need to first calculate the volume of the oil film when it forms a film with a radius of 10 cm.

The volume of a cylinder (which we can use as an approximation for the film) is given by the formula:
V = πr^2h

Where V is the volume, r is the radius, and h is the height (or thickness) of the cylinder.

Given that the radius of the film is 10 cm, we can calculate the volume of the film as follows:
V = π(10)^2h
V = 100πh

Given that the volume of the oil drop is 0.10 mm^3, we can convert this to cm^3 by dividing by 1000:
0.10 mm^3 = 0.10 * 10^-3 cm^3 = 0.0001 cm^3

Now, we set the volume of the film equal to the volume of the oil drop and solve for h:
0.0001 cm^3 = 100πh
h = 0.0001 / (100π)
h ≈ 3.18 x 10^-6 cm

Therefore, the thickness of the oil film is approximately 3.18 x 10^-6 cm.