Given: The mass of electron is 9.11 10⁻³¹ ~kg , Planck constant is 6.626 10⁻³⁴ Js . The uncertainty involved in the measurement of velocity within a distance of 0.1 Å is:

Step-by-step solution

x=0.1 Å=0.1 10⁻¹⁰ ~m m=9.11 10⁻³¹ ~kg h=6.626 10⁻³⁴ Js In uncertain position, aligned & v x= h 4 m & v 0.1 10⁻¹⁰= & 6.626 10⁻³⁴ 4 3.14 9.11 10⁻³¹ & v= & 6.626 10⁻³⁴ 4 3.14 9.11 10⁻³¹ 0.1 10⁻¹⁰ & =5.785 10^6 ~ms ⁻¹ & aligned