Question

In an atom, an electron is moving with a speed of $600m{sec}^{-1}$ with an accuracy of $0.005$%. Certainty with which the position of the electron can be located is:
$(h=6.6\times {10}^{-34}kg{m}^2{s}^{-1},massofelectron=9.1\times {10}^{-31}kg)$.

• A. $1.52\times {10}^{-4}m$
• B. $5.1\times {10}^{-3}m$
• C. $1.92\times {10}^{-3}m$
• D. $3.84\times {10}^{-3}m$

Answer 1

Answer: (C)

$1.92\times {10}^{-3}m$

In an atom, an electron is moving with a speed of 600 m/s with an accuracy of
0.005%.

$\Delta x=600\times \frac{1}{200}=\pm 3m/s\Delta x=?\Delta x.\Delta v\ge \frac{h}{4\pi m_{e^{-}}}\Delta x.3=\frac{6.626\times {10}^{-34}}{4\times 3.14\times 9.1\times {10}^{-31}}\Delta x=1.92\times {10}^{-3}m$