The effect of the uncertainty principle is significant only for the motion of microscopic particles and is negligible for macroscopic particles. Justify the statement with the help of a suitable example.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The Heisenberg uncertainty principle is given by $\Delta x \cdot \Delta v \geq \frac{h}{4 \pi m}$.
For a microscopic particle like an electron $(m = 9.11 \times 10^{-31} \ kg)$,the uncertainty is significant.
For a macroscopic object of mass $1 \ mg$ $(10^{-6} \ kg)$:
$\Delta x \cdot \Delta v = \frac{h}{4 \pi m} = \frac{6.626 \times 10^{-34} \ J \ s}{4 \times 3.1416 \times 10^{-6} \ kg} \approx 0.527 \times 10^{-28} \ m^2 \ s^{-1}$.
This value is extremely small and physically insignificant,which is why the uncertainty principle is negligible for macroscopic objects.

Explore More

Similar Questions

$A$ golf ball of mass $m$ has a speed of $50 \ m \ s^{-1}$. If the speed can be measured within an accuracy of $2 \%$,the uncertainty in the position is

$A$ ball weighing $10 \, g$ is moving with a velocity of $90 \, ms^{-1}$. If the uncertainty in its velocity is $5 \, \%$,then the uncertainty in its position is ....... $\times 10^{-33} \, m$. (Rounded off to the nearest integer) [Given : $h = 6.63 \times 10^{-34} \, Js$]

Uncertainty in the position of an electron (mass $= 9.1 \times 10^{-31} \ kg$) moving with a velocity $300 \ ms^{-1}$ accurate up to $0.001 \ \%$ will be $(h = 6.63 \times 10^{-34} \ J \cdot s)$.

The uncertainty in position is $10^{-10} \ m$ and in velocity is $5.27 \times 10^{-24} \ m \ s^{-1}$. Calculate the mass of the particle.

Write down the Schrodinger wave equation for the hydrogen atom.

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo