The resistance of the ohm is very approximately that of a column of mercury 1.06 m long and of uniform cross-section of one hundred of a cm^2. Find the resistivity of mercury.(show work)

To find the resistivity of mercury, we need to use the formula:

Resistance (R) = Resistivity (ρ) * Length (L) / Cross-sectional Area (A)

Given that the resistance of the ohm is approximately equal to that of a column of mercury, we can write:

R = ρ * L / A

We know the length L is 1.06 m and the cross-sectional area A is 100 cm^2. However, we need to convert the area to square meters first, as the resistivity is usually expressed in terms of ohm-meters.

1 cm^2 = (1/100)^2 m^2 = 0.0001 m^2

Now, substitute the known values into the formula:

R = ρ * (1.06 m) / (0.0001 m^2)

To solve for the resistivity ρ, divide both sides of the equation by (1.06 m) / (0.0001 m^2):

ρ = R / ((1.06 m) / (0.0001 m^2))

Now insert the value for the resistance of the ohm, which is 1 ohm:

ρ = 1 ohm / ((1.06 m) / (0.0001 m^2))

Calculate the result:

ρ = 0.000094 ohm-meters

Therefore, the resistivity of mercury is approximately 0.000094 ohm-meters.