WBJEE · Chemistry · Structure of Atom
Which of the following does not represent the mathematical expression for the Heisenberg uncertainty principle?
- A \(\Delta x \cdot \Delta P \geq h /(4 \pi)\)
- B \(\Delta x \cdot \Delta v \geq h /(4 \pi m)\)
- C \(\Delta E \cdot \Delta t \geq h /(4 \pi)\)
- D \(\Delta E \cdot \Delta x \geq h /(4 \pi)\)
Answer & Solution
Correct Answer
(D) \(\Delta E \cdot \Delta x \geq h /(4 \pi)\)
Step-by-step Solution
Detailed explanation
From Heisenberg uncertainty principle, \(\Delta x \cdot \Delta p \geq \frac{h}{4 \pi}\) or \(\quad \Delta x \cdot m \Delta v \geq \frac{h}{4 \pi}\) or \(\quad \Delta x \cdot \Delta v \geq \frac{h}{4 \pi m}\) This principle is also applicable for pairs like energy-time…
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