Question

For a particle in an infinite potential well with an arbitrary quantum number

n, the uncertainty in the particle's position (∆x) is given by:

A) h/4pi

B) h/2pi

C) h/√(2)pi

D) h/pi

Answer 1

The uncertainty in the position of a particle and the uncertainty in its momentum are related by the Heisenberg Uncertainty Principle, and the product of their uncertainties is equal to one-half of the reduced Planck constant (h/4π).

Step-by-step explanation:

The uncertainty in the position of a particle and the uncertainty in its momentum are related by the Heisenberg Uncertainty Principle. The product of the uncertainty in position (∆x) and the uncertainty in momentum (∆p) is greater than or equal to one-half of the reduced Planck constant (h/4π). Thus, the answer to your question is A) h/4π.