A microscope using suitable photons is employed to locate an electron in an atom within a distance of 0.1˚A. What is the uncertainty involved in the measurement of its velocity? ( h = 6.626 ×10−34 Js, mass of electron = 9.1 ×10−31 kg)
According to Heisenberg’s Uncertainty principle: del X del P = h/2pi
m=9.11×10−31kg
h=6.626×10−34Js
So..,
ΔV≥h4πmΔx
ΔV≥6.626×10−344×3.14×9.11×10−31×0.1×10−10
ΔV≥0.579×107ms−1
ΔV≥5.79×106ms−1