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  4. Uncertainty in position is twice the uncertainty in momentum. Uncertainty in velocity is:

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Q. Uncertainty in position is twice the uncertainty in momentum. Uncertainty in velocity is:

Structure of Atom

Solution:

$\Delta x=2\Delta p$
$ \Delta x. \Delta p =\frac{h}{2}=\frac{h}{4\pi} $
$\Rightarrow 2 \Delta p.\Delta p =\frac{h}{2}$
$2\left(m\Delta V\right)^{2}=\frac{h}{2}; \left(\Delta V\right)^{2}=\frac{h}{4m^{2}} $
$\Rightarrow \Delta V =\frac{\sqrt{h}}{2m}.$