Question

Uncertainty in the position of an electron (mass $= 9.1 \times 10^{-31}\, kg)$ moving with a velocity $300 ms^{-1}$, accurate up to $0.001\%$ will be: $(h = 6.63 \times 10^{-34}\, Js$)

• A. $19.2 \times 10^{-2}\, m$
• B. $5.76 \times 10^{-2}\,m$
• C. $1.93 \times 10^{-2}\, m$
• D. $3.84 \times 10^{-2}\, m$

Answer 1

Answer: (C)

$\Delta x=\frac{h}{4\pi m\Delta u}$
$==\frac{6.626 \times10^{-34}\times100}{4\times3.14\times 9.1\times 1.0^{-31}\times 0.001\times 300}$
$=1.93 \times 10^{-2} m$