Question

Uncertainty in position of a $0.25\, g$ particle is $10^{-5}$. Uncertainty of velocity is ($h = 6.6 \times 10^{-34}\, Js$)

• A. $1.2 \times 10^{34}$
• B. $2.1 \times 10^{-26}$
• C. $1.6 \times 10^{-20}$
• D. $1.7 \times 10^{-9}$

Answer 1

Answer: (B)

According to $\Delta x\times m\times\Delta v=\frac{h}{4\pi};$
$\Delta v=\frac{h}{\Delta x\times m\times4\pi} $
$=\frac{6.6\times10^{-34}}{10^{-5}\times 0.25\times10^{-3}\times3.14\times4}$
$= 2.1\times10^{-26} m /s$