AP EAMCET · Chemistry · Structure of Atom
The product of uncertainty in velocity and uncertainty in position of a micro particle of mass ' \(m\) ' is not less than in which of the following?
- A \(h \times \frac{3 \pi}{m}\)
- B \(\frac{h}{3 \pi} \times m\)
- C \(\frac{h}{4 \pi} \times \frac{1}{m}\)
- D \(\frac{h}{4 \pi} \times m\)
Answer & Solution
Correct Answer
(C) \(\frac{h}{4 \pi} \times \frac{1}{m}\)
Step-by-step Solution
Detailed explanation
According to uncertainty principle, \(\begin{aligned} & \Delta P \cdot \Delta x \geq \frac{h}{4 \pi} \\ & \Rightarrow \quad m . \Delta v \times \Delta x \geq \frac{h}{4 \pi} \\ & \Rightarrow \Delta v \times \Delta x \geq \frac{h}{4 \pi \times m} \end{aligned}\)
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