Question

Uncertainity in position of a hypothetical subatomic particle is $1\AA$ and uncertainty in velocity is $\frac{3.3}{4\pi }\times {10}^{5}m/s$ then the mass of the particle is approximately $[h=6.6\times {10}^{-34}Js]$

• A. $2\times {10}^{-28}kg$
• B. $2\times {10}^{-27}kg$
• C. $2\times {10}^{-29}kg$
• D. $2\times {10}^{-26}kg$

Answer 1

The correct option is C

$2\times {10}^{-29}kg$

$\Delta x\times m\times \Delta v\ge \frac{h}{4\pi }$

$1\times {10}^{-10}\times m\times \frac{3.3}{4\pi }\times {10}^5\ge \frac{6.6\times {10}^{-34}}{4\times \pi }$

$M=2\times {10}^{-29}kg$