What is the uncertainty of the position of the bacterium?

Heisenbergs uncertainity principle

Explanation:

Heisenberg uncertainty principle also known as indeterminacy principle states that the position and the velocity of an object cannot both be measured exactly, at the same time, even in theory.

The uncertainty principle can be expressed in terms of a particle’s momentum and position. The momentum of a particle is equal to the product of its mass multiplied by its velocity. Thus, the product of the uncertainties in the momentum and the position of a particle equals h/(4π) or more. The principle applies to other related (conjugate) pairs of observables, such as energy and time: the product of the uncertainty in an energy measurement and the uncertainty in the time interval during which the measurement is made also equals h/(4π) or more. The same relation holds, for an unstable atom or nucleus, between the uncertainty in the quantity of energy radiated and the uncertainty in the lifetime of the unstable system as it makes a transition to a more stable state.