If ∆x is the uncertainty in the measurement of the position of a particle along the x-axis and ∆P_a is the uncertainty in the measurement of the linear momentum along the x-axis, then the uncertainty principle relation is given as

Khadijahbintkhuwalid

1 year ago

The correct answer is:

A. ∆x ∆Px ≥ h

But there's a small refinement needed — according to Heisenberg's Uncertainty Principle, the more precise form of the inequality is:

Δ
𝑥
⋅
Δ
𝑃
𝑥
≥
ℎ
4
𝜋
Δx⋅ΔP
x
​
≥
4π
h
​

Or, using the reduced Planck's constant (
ℏ
=
ℎ
2
𝜋
ℏ=
2π
h
​
):

Δ
𝑥
⋅
Δ
𝑃
𝑥
≥
ℏ
2
Δx⋅ΔP
x
​
≥
2
ℏ
​

So technically, answer A is a simplified version (using just
ℎ
h), but it's the best choice among the options provided.