For an electron,if the uncertainty in velocity is $\Delta \nu$,the uncertainty in its position $(\Delta x)$ is given by:

  • A
    $\frac{h}{4\pi m \Delta \nu}$
  • B
    $\frac{4\pi}{hm \Delta \nu}$
  • C
    $\frac{h}{4\pi m \Delta \nu}$
  • D
    $\frac{4\pi m}{h \Delta \nu}$

Explore More

Similar Questions

According to the Heisenberg uncertainty principle,which of the following expressions is correct?

$A$ golf ball has a mass of $40 \, g$ and a speed of $45 \, m/s$. If the speed can be measured within an accuracy of $2 \%$,calculate the uncertainty in the position.

Uncertainty in position of a $0.25 \ g$ particle is $10^{-5} \ m$. What is the uncertainty in its velocity? (Given: $h = 6.6 \times 10^{-34} \ J \ s$)

An electron has a velocity of $600 \, m/s$ with an accuracy of $0.005 \%$. Calculate the uncertainty in the position of this electron.

Given below are two statements:
Statement $I:$ According to Bohr's model of hydrogen atom,the angular momentum of an electron in a given stationary state is quantised.
Statement $II:$ The concept of electron in Bohr's orbit,violates the Heisenberg uncertainty principle.
In the light of the above statements,choose the most appropriate answer from the options given below:

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