Question

In an atom, an electron is moving with a speed of 600 $se{c}^{-1}$ with a accuracy of 0.005%, certainity with which the position of electron can be located is

• 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

The correct option is C $1.92\times {10}^{-3}m$

Accuracy in velocity = 0.005%
$\Delta v=\frac{600\times 0.005}{100}=0.03\Delta x.m\Delta v\ge \frac{h}{4\pi }\Delta x=\frac{6.6\times {10}^{-34}}{4\times 3.14\times 9.11\times {10}^{-31}\times 0.03}=1.92\times {10}^{-3}m.$