Heisenberg Uncertainty Principle — Prelims Questions

If the uncertainty in the position of an electron is $1.0 \times 10^{-10}\ \text{m}$, what is the minimum uncertainty in its velocity? (Mass of electron = $9.1 \times 10^{-31}\ \text{kg}$, $h = 6.626 \times 10^{-34}\ \text{J s}$)

Which of the following statements about the Heisenberg Uncertainty Principle is INCORRECT?

An electron is confined to a box of length $0.1\ \text{nm}$. What is the minimum uncertainty in its momentum? (Given: $\hbar = 1.054 \times 10^{-34}\ \text{J s}$)

If the lifetime of an excited state of an atom is $10^{-9}\ \text{s}$, what is the minimum uncertainty in its energy? (Given: $h = 6.626 \times 10^{-34}\ \text{J s}$)

According to the Heisenberg Uncertainty Principle, which of the following pairs of quantities cannot be simultaneously determined with arbitrary precision?

Why is the Heisenberg Uncertainty Principle considered a fundamental aspect of quantum mechanics and not just a limitation of experimental techniques?

An electron has a speed of $600\ \text{m/s}$ with an uncertainty of $0.005\%$. What is the minimum uncertainty in its position? (Mass of electron = $9.1 \times 10^{-31}\ \text{kg}$, $h = 6.626 \times 10^{-34}\ \text{J s}$)