AP EAMCET20224 Jul 2022Morning ShiftChemistryStructure of AtomActual
If Δx is the uncertainity in position and Δv is the uncertainity in velocity of a particle are equal, the correct expression for uncertainity in momentum for the same particle is
Options
- A1 4 m h π
- B1 3 m h 2 π
- C1 2 m h π
- D1 2 h m π
Correct answer
C. 1 2 m h π
Step-by-step solution
The uncertainty in momentum and uncertainty in the position of a particle are equal. So, ∆ v = ∆ x According to the uncertainty principle, The uncertainty principle states that we cannot know both the position and speed of a particle, such as a photon or electron, with perfect accuracy. ∆ p . ∆ x = h 4 π ∆ p = m ∆ v If   ∆ v = ∆ x m ∆ v 2 = h 4 π ∆ v 2 = h 4 πm ∆ v = 1 2 h πm If the uncertainty in velocity and uncertainty in