The lower limit that could be used to determine the position of each object along the direction of the velocity is 1.136 x 10⁻³ m.
Uncertainty in the position of the electron
The uncertainty in the position of the electron is calculated as follows;
[tex]\Delta x = \frac{h}{4\pi m\Delta v}[/tex]
where;
- h is Planck's constant = 6.63 x 10⁻³⁴ Js
- m is mass of electron
- Δv uncertainty in velocity = (0.01 x 10⁻²) x 510 = 0.051 m/s
[tex]\Delta x = \frac{6.63 \times 10^{-34} }{4\pi \times 9.11 \times 10^{-31} \times 0.051} \\\\\Delta x = 1.136 \times 10^{-3} \ m[/tex]
Thus, the lower limit that could be used to determine the position of each object along the direction of the velocity is 1.136 x 10⁻³ m.
Learn more about uncertainty in position here: https://brainly.com/question/1970053
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