MCQ
Uncertainty in position and momentum are equal. Uncertainty in velocity is :-
  • A
    $\sqrt {\frac{h}{\pi }}$
  • B
    $\frac{h}{2 \pi}$
  • $\frac{1}{{2m}}\sqrt {\frac{h}{\pi }}$
  • D
    None of these

Answer

Correct option: C.
$\frac{1}{{2m}}\sqrt {\frac{h}{\pi }}$
c
$\Delta x=\Delta p$

$\Delta x \cdot \Delta p=\frac{h}{4 \pi}$

$\Delta p=\sqrt{\frac{h}{4 \pi}}$

$\Delta v=\frac{1}{m} \sqrt{\frac{h}{4 \pi}}$

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