What is the uncertainty principle in quantum mechanics?

What is the uncertainty principle in quantum mechanics?

Step 1: Understand that the uncertainty principle is a concept in quantum mechanics.
Step 2: Know that it involves two pairs of measurements: position (x) and momentum (p), as well as energy (E) and time (t).
Step 3: The principle states that you cannot know both the position and momentum of a particle exactly at the same time.
Step 4: The mathematical expression for this is ΔxΔp ≥ ħ/2, where Δx is the uncertainty in position and Δp is the uncertainty in momentum.
Step 5: Similarly, you cannot know both the energy and the time of a particle exactly at the same time.
Step 6: The expression for this is ΔEΔt ≥ ħ/2, where ΔE is the uncertainty in energy and Δt is the uncertainty in time.
Step 7: Here, ħ (h-bar) is a constant known as the reduced Planck's constant, which is a very small number.

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