1. Tardigrade
  2. Question
  3. Chemistry
  4. Uncertainty in position and momentum are equal. Uncertainty in velocity is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Uncertainty in position and momentum are equal. Uncertainty in velocity is

NTA AbhyasNTA Abhyas 2022

Solution:

$\Delta p.\Delta x=\frac{h}{4 \pi }$
$\Delta p=\Delta x$ (Given)
$\left(\right.\Delta p\left(\left.\right)^{2}=\frac{h}{4 \pi }$
$\left(\right.m\Delta v\left(\left.\right)^{2}=\frac{h}{4 \pi }$
$\Delta v=\frac{1}{2 m}\sqrt{\frac{h}{\pi }}$