Question

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

• A. $\sqrt{\frac{h}{\pi}}$
• B. $\frac{1}{2m}\sqrt{\frac{h}{\pi}}$
• C. $\frac{1}{2m}\sqrt{\hslash}$
• D. $\frac{h}{4\pi}$

Answer 1

Answer: (C)

$\frac{1}{2m}\sqrt{\hslash}$

Answer 2

$\Delta x = 2\Delta p$

$\Delta x.\Delta p = \frac{\hslash}{2} = \frac{h}{4\pi}$

$\Rightarrow 2\Delta p. \Delta p = \frac{\hslash}{2}$

}{\Rightarrow \Delta V = \frac{\hslash}{2}}$$