Explanation:

To find the uncertainty in the measurement of the position of the particle, we can use the Heisenberg uncertainty principle, which states that the product of the uncertainties in position and momentum of a particle is at least equal to or greater than a constant value (ħ/2).

Given that the uncertainty in velocity (Δv) is 10 m/s and using the relation ΔxΔp ≥ ħ/2, we need to determine the uncertainty in position (Δx).

We know that momentum (p) can be calculated by multiplying mass (m) by velocity (v): p = mv.

Therefore, the uncertainty in momentum (Δp) can be calculated as: Δp = mΔv.

Since the problem does not specify the mass of the particle, we cannot directly determine the uncertainty in momentum. However, we can still find the uncertainty in the measurement of the position of the particle using the given information.

Using the relation ΔxΔp ≥ ħ/2, we can substitute Δp with mΔv:

Δx (mΔv) ≥ ħ/2

Simplifying the equation, we get:

Δx ≥ ħ/(2mΔv)

Although we do not have specific values for the mass and Planck's constant (ħ), we do know that they are constant values.

Therefore, using the given uncertainty in velocity (Δv = 10 m/s), we can state that the uncertainty in the measurement of the position of the particle (Δx) has a lower limit of ħ/(2mΔv), where m represents the mass of the microscopic particle and ħ is Planck's constant.

In summary, without specific information on the mass of the particle or the value of Planck's constant, we can determine that the uncertainty in the measurement of the position of the particle (Δx) has a lower limit of ħ/(2mΔv), given the uncertainty in velocity (Δv) is 10 m/s.