Enter the Planck’s constant and the uncertainty in position (m) into the Calculator. The calculator will evaluate the Minimum Uncertainty. 

Minimum Uncertainty Formula

up = h/(4*pi)/ ux


  • up is the Minimum Uncertainty ((momentum uncertainty, m))
  • h is the Planck’s constant
  • ux is the uncertainty in position (m)

To calculate Minimum Uncertainty, divide Planck’s constant by 4 times pi, then divide by the uncertainty in position.

How to Calculate Minimum Uncertainty?

The following steps outline how to calculate the Minimum Uncertainty.

  1. First, determine the Planck’s constant. 
  2. Next, determine the uncertainty in position (m). 
  3. Next, gather the formula from above = up = h/(4*pi)/ ux.
  4. Finally, calculate the Minimum Uncertainty.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Planck’s constant = 23412

uncertainty in position (m) = 252345