Question

According to the Heisenberg uncertainty principle,

a) the position of a particle cannot be measured precisely.

b) neither the position nor the momentum of a particle can be measured precisely.

c) the momentum of a particle cannot be measured precisely.

d) the position and momentum of a particle can be measured precisely, but not at the same time.

Answer 1

Answer 2

Answer:

Correct Option: D

Heisenberg Uncertainty Principle states:

• Position (Δx) and momentum (Δp) of a particle cannot both be measured precisely at the same time.

• Mathematically:

  $$\mathrm{\Delta }x\cdot \mathrm{\Delta }p\ge \frac{h}{4\pi }$$

  (h = Planck’s constant)

Why Not Others?

• A/C: Only half-truths (both are uncertain simultaneously).

• B: Overgeneralized (they can be measured, but not with perfect precision together).

• 
  

• D: Accurately captures the trade-off.

Key Idea: Fundamental limit of quantum measurement precision.