Question

In the Thomson model of hydrogen atom, the nuclear charge is distributed uniformly over a sphere of radius 𝑅. The average potential energy of an electron confined within this atom can be taken as $V=\frac{e^2}{4{\pi}e_0R}$ . Taking the uncertainty in position to be the radius of the atom, the minimum value of 𝑅 for which an electron will be confined within the atom is estimated to be 𝑓 × 10−11 m. The value of 𝑓 is _______ (rounded off to one decimal place).
Given: The uncertainty product of momentum and position is ℏ = 1×10−34 Js -1 ,e=1.6 × 10−19C, and $\frac{1}{4{\pi}e_0}$= 9 × 109 Nm2C −2

Answer 1

The correct answer is: 2.2 to 2.7 (approx)