The position of a proton is measured with an accuracy of \(\pm 1.00 \times 10^{-11} \mathrm{~m}\).

Find the uncertainty in the proton's position 1.00 sec later. Assume \(v \ll c .\)

[Given, Reduced Planck's constant ℏ \(=1.054 \times 10^{-34} \downharpoonleft-5\)]

Question

The position of a proton is measured with an accuracy of \(\pm 1.00 \times 10^{-11} \mathrm{~m}\).

Find the uncertainty in the proton's position 1.00 sec later. Assume \(v \ll c .\)

[Given, Reduced Planck's constant ℏ \(=1.054 \times 10^{-34} \downharpoonleft-5\)]

Accepted Answer

(A) 2.07 10^ 3 ~m

The position of a proton is measured with an accuracy of 1.00 10^ -11 ~m . Find the…