The uncertainty in the position of a moving b | vedclass

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Question

(A) According to Heisenberg's uncertainty principle: $\Delta x 	imes \Delta p \ge \frac{h}{4 \pi}$.Since $\Delta p = m 	imes \Delta v$,the formula b

Vedclass · Accepted Answer

$5.2 	imes 10^{-28} \ m/s$

Vedclass · Answer

(A) According to Heisenberg's uncertainty principle: $\Delta x 	imes \Delta p \ge \frac{h}{4 \pi}$.Since $\Delta p = m 	imes \Delta v$,the formula becomes $\Delta v = \frac{h}{4 \pi 	imes m 	imes \Delta x}$.Given: $m = 10 \ g = 0.01 \ kg$,$\Delta x = 10^{-5} \ m$,$h = 6.626 	imes 10^{-34} \ J \cdot s$.Substituting the values: $\Delta v = \frac{6.626 	imes 10^{-34}}{4 	imes 3.1416 	imes 0.01 	imes 10^{-5}}$.$\Delta v = \frac{6.626 	imes 10^{-34}}{1.2566 	imes 10^{-6}} \approx 5.27 	imes 10^{-28} \ m/s$.

The uncertainty in the position of a moving bullet of mass $10 \ g$ is $10^{-5} \ m$. Calculate the uncertainty in its velocity.

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