Which of the following is Heisenberg uncertainty principle?

Options

A. `Deltax Delta P ge h/4pi`
B. `Deltax Delta P = h/4pi`
C. `Deltax Delta P leh/4pi`
D. `Deltax Delta P leh/4pi`

Answer

To solve the question regarding the Heisenberg uncertainty principle, we will follow these steps:

### Step 1: Understand the Heisenberg Uncertainty Principle
The Heisenberg uncertainty principle states that it is impossible to simultaneously know the exact position and momentum of a particle. This principle highlights a fundamental limit to measurement in quantum mechanics.

### Step 2: Identify the Mathematical Expression
Heisenberg formulated a mathematical expression to quantify this uncertainty. The expression is:
\[ \Delta x \cdot \Delta p \geq \frac{h}{4\pi} \]
where:
- \(\Delta x\) is the uncertainty in position,
- \(\Delta p\) is the uncertainty in momentum,
- \(h\) is Planck's constant.

### Step 3: Analyze the Options
In the context of the question, we need to identify which option presents the Heisenberg uncertainty principle correctly. The correct expression should match the one stated above.

### Step 4: Select the Correct Option
If the options provided include the expression \(\Delta x \cdot \Delta p \geq \frac{h}{4\pi}\), then that is the correct representation of the Heisenberg uncertainty principle.

### Conclusion
The Heisenberg uncertainty principle indicates that the more precisely we know a particle's position (\(\Delta x\)), the less precisely we can know its momentum (\(\Delta p\)), and vice versa.

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