Question

An atom has mass of $0.02kg$ and uncertainty in its velocity is $9.218\times {10}^{-6}m/s$ then uncertainty in position is $(h=6.626\times {10}^{-34}Js)$

• A. $2.86\times {10}^{-28}m$
• B. $2.86\times {10}^{-32}cm$
• C. $1.5\times {10}^{-27}m$
• D. $3.9\times {10}^{-10}m$

Answer 1

The correct option is A $2.86\times {10}^{-28}m$

$P\times △x\ge \frac{h}{4x}$

$0.02\times 9.218\times {10}^{-6}\times △x\ge \frac{6.626\times {10}^{-34}}{4\times 3.14}$

$△x\ge \frac{6.626\times {10}^{-34}}{4\times 3.14\times 0.02\times 9.218\times {10}^{-6}}$

$△x\ge 2.86\times {10}^{-28}$