If uncertainty in position and momentum of an electron are equal,then uncertainty in its velocity is

  • A
    $1 / (2 m) \sqrt{h / \pi}$
  • B
    $1 / m \sqrt{h / \pi}$
  • C
    $\sqrt{h / \pi}$
  • D
    $m \sqrt{h / \pi}$

Explore More

Similar Questions

The moving bullet of a gun has $10 \ g$ mass and $10^{-5} \ m$ uncertainty in position. Find the uncertainty in velocity.

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.

$A$ particle of mass $25 \, g$ has an uncertainty in position of $10^{-5} \, m$. The uncertainty in velocity is ... (Planck's constant $h = 6.6 \times 10^{-34} \, J \cdot s$).

The mass of particle $A$ is $5$ times that of particle $B$. The uncertainty in their velocities are $0.05 \ ms^{-1}$ and $0.02 \ ms^{-1}$ respectively. What is the ratio of the uncertainties in their positions,i.e.,$\Delta x_A : \Delta x_B$?

Difficult
View Solution

The uncertainty in the position of an electron moving with a velocity of $3 \times 10^4 \ cm/s$ is (given mass of electron $= 9.1 \times 10^{-28} \ g$,uncertainty in velocity $= 0.02 \ \%$).

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