The document discusses the Heisenberg Uncertainty Principle. It was proposed by German physicist Werner Heisenberg in 1927 and states that the more precisely the momentum of a microscopic particle is measured, the less precisely its position can be known, and vice versa. The principle is represented by the equation ∆x × ∆p ≥ h/4π, where ∆x is the uncertainty in position, ∆p is the uncertainty in momentum, and h is Planck's constant.

1. Heisenberg Uncertainty Principle
Dr. Mithil Fal Desai
Shree Mallikarjun and Shri Chetan
Manju Desai College Canacona
Goa

2. Understanding
Werner Heisenberg
(1927) - German physicist
e-
An Electron of mass ‘m’ is
moving in ‘x’ direction with
velocity ‘v’
Detector
Source
x

3. Calculating de Broglie wavelength
∆𝒙 × ∆𝒑 ≥
𝒉
𝟒𝝅
∆𝒙 × 𝒎∆𝒗 ≥
𝒉
𝟒𝝅
∆𝐱 is uncertanity in position, ∆𝐩 is unceranity in momentum,
m is mass and ∆v is unceranity in velocity

4. Heisenberg Uncertainty Principle
The principle states that
more precisely the
momentum of a
microscopic particle is
measured, the less
precisely its position is
determined in its initial
conditions.