Answer :
The diameter of the capillary tube is approximately 2.90 x 10^-5 meters.
To find the diameter of the capillary tube, we need to use the formula for the height of a liquid in a capillary tube:
h = (2T cosθ)/(ρg r)
where h is the height of the liquid, T is the surface tension, θ is the contact angle (which we can assume to be zero for water and glass), ρ is the density of the liquid, g is the acceleration due to gravity, and r is the radius of the capillary tube.
We can rearrange this formula to solve for the radius:
r = (2T cosθ)/(ρg h)
Plugging in the given values, we get:
r = (2 x 0.07199 kg/s^2 x 1)/(1.0 g/cm^3 x 9.81 m/s^2 x 0.084 m)
Note that we converted the density to units of kg/m^3 and the height to units of meters.
Simplifying this expression, we get:
r = 1.45 x 10^-5 m
To find the diameter, we multiply the radius by 2:
d = 2r = 2 x 1.45 x 10^-5 m = 2.90 x 10^-5 m
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