Question

An electron traveling at 5.3×10⁵ m/s has an uncertainty in its velocity of 1.17×10⁵ m/s. What is the uncertainty in its position?

Answer 1

given,

Mass of electron =9.1 *10^-31kg

V=1.17*10^5 m/s

X=uncertainty in position

h=6.63*10^-34 m2 kg/s

using heisenberg's uncertainty principle,

X* mVh/4

Xh/ 4 mV

    =6.63*10^-34 m2 kg/s/4(3.14) (9.1 *10^-31kg) (1.17*10^5 m/s)=0.623*10^-8 m

X=0.50*10^-8 m=5.0*10-9 m