Question

Uncertainty in position of a 0.25 g particle is ${10}^{-5}$m. The uncertainty in its velocity will be:-
$(h=6.6\times {10}^{-34}Js)$:-

• A. $1.2\times {10}^{34}$
• B. $2.1\times {10}^{-29}$
• C. $1.6\times {10}^{-20}$
• D. $1.7\times {10}^{-9}$

Answer 1

The correct option is B $2.1\times {10}^{-29}$

$\begin{array}{c}\Delta u=\frac{h}{4\pi m\cdot \Delta x}\\ \Rightarrow \frac{6.6\times {10}^{-34}}{4\times 3.14\times 25\times {10}^{-3}\times {10}^{-5}}\\ \Rightarrow 2.1\times {10}^{-28}m/\sec \end{array}$

Hence,

option $\left(B\right)$ is correct answer.