Heisenberg's Uncertainty Principle says that the product of the error in the measurement of a particle's momentum and the error in the measurement of a particle's position must be at least Planck's constant divided by 4pi. Suppose the error in the measurement of the momentum of a particle is halved. By how many percent does the minimum error in the measurement of its position increase?
em * ep = h/4pi = k where k = constant
1/2 em * 2 ep = k The error in position would have to double .... a 100% increase