Question

The uncertainty of a ball is given by 0.5A°. Then calculate the uncertainty in momentum.

(a) 2.055 x 10^-24 kgm/s

(b) 1.015 x 10^-24 kgm/s

(c) 1.055 x 10^-24 kgm/s

(d) 1.095 x 10^-24 kgm/s

The question was posed to me during an online interview.

The doubt is from Towards Quantum Mechanical Model of the Atom topic in portion Structure of Atom of Chemistry – Class 11

Answer 1

Correct option is (c) 1.055 x 10^-24 kgm/s

Best explanation: Heisenberg’s principle of uncertainty states that Δx. Δp ≥ h/4π, x is position, p is momentum and “h” is the Planck’s constant and is equal to 6.626 x 10^-34 Js. Relative momentum Δp = h/4πΔx = 1.055 x 10^-24 kgm/s.