AP EAMCET · Chemistry · Structure of Atom
If uncertainty in position and momentum of an electron are equal, then uncertainty in its velocity is
- A \(\frac{1}{2 m} \sqrt{\frac{h}{\pi}}\)
- B \(\frac{1}{m} \sqrt{\frac{h}{\pi}}\)
- C \(\sqrt{\frac{h}{\pi}}\)
- D \(m \sqrt{\frac{h}{\pi}}\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{2 m} \sqrt{\frac{h}{\pi}}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \Delta \mathrm{x} \times \Delta \mathrm{p}=\frac{\mathrm{h}}{4 \pi} \\ & \text { Given, } \Delta \mathrm{x} \times \Delta \mathrm{p} \\ & (\Delta \mathrm{p})^2=\frac{\mathrm{h}}{4 \pi} \Rightarrow \Delta \mathrm{p}=\sqrt{\frac{\mathrm{h}}{4 \pi}} \\ &…
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