In: Chemistry
The x coordinate of an electron is measured with an uncertainty of 0.200 mmmm . What is vxvxv_x, the x component of the electron's velocity, if the minimum percentage uncertainty in a simultaneous measurement of vxvxv_x is 1.00 %% ? Use the following expression for the uncertainty principle:
ΔxΔpx≥ℏΔxΔpx≥ℏ,
where ΔxΔx is the uncertainty in the x coordinate of a particle, ΔpxΔpx is the particle's uncertainty in the x component of momentum, and ℏ=h2πℏ=h2π, where hh is Planck's constant.
Express your answer in meters per second to three significant figures.
The correct answer is 57.9 m/s
part B
Repeat Part A for a proton.
Express your answer in meters per second to three significant figures.