Question

Which of the following represents the Heisenberg Uncertainty principle?

• A. $\Delta x \cdot \Delta p_x \geq \frac{h}{4\pi}$
• B. $\Delta p_x \leq \frac{h}{4\pi}$
• C. $\Delta x \cdot \Delta p_x = \frac{h}{4\pi}$
• D. $\Delta x \cdot \Delta p_x < \frac{h}{4\pi}$

Hint:

Uncertainty is always $\geq$ (greater than or equal to); it can never be less than the limit.

Answer 1

The Correct Option is A

Step 1: Concept
The Heisenberg Uncertainty Principle states that it is impossible to simultaneously determine the exact position and momentum of a microscopic particle.

Step 2: Analysis
The mathematical expression relates the uncertainty in position ($\Delta x$) and the uncertainty in momentum ($\Delta p_x$).

Step 3: Reasoning
The product of these uncertainties must be greater than or equal to a constant value, specifically $\frac{h}{4\pi}$.

Step 4: Conclusion
Therefore, the correct inequality is $\Delta x \cdot \Delta p_x \geq \frac{h}{4\pi}$. Final Answer: (A)