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

  • A
    $1.2 \times 10^{34} \ m/s$
  • B
    $2.1 \times 10^{-29} \ m/s$
  • C
    $1.6 \times 10^{-20} \ m/s$
  • D
    $1.7 \times 10^{-9} \ m/s$

Explore More

Similar Questions

Given: The mass of an electron is $9.1 \times 10^{-31} \ kg$,Planck's constant is $6.62 \times 10^{-34} \ J \cdot s$. The uncertainty involved in the measurement of velocity within a distance of $0.1 \ \mathring{A}$ is:

Which one is not the correct relation in the following?

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

An accelerated electron has a speed of $5 \times 10^{6} \ m \ s^{-1}$ with an uncertainty of $0.02 \ \%$. The uncertainty in finding its location while in motion is $x \times 10^{-9} \ m$. The value of $x$ is $......$ (Nearest integer)
[Use mass of electron $= 9.1 \times 10^{-31} \ kg, h = 6.63 \times 10^{-34} \ J \ s, \pi = 3.14]$

If the uncertainty in velocity and position of a minute particle in space are $2.4 \times 10^{-26} \, m \, s^{-1}$ and $10^{-7} \, m$ respectively,the mass of the particle in $g$ is $....$ (Nearest integer).
(Given: $h = 6.626 \times 10^{-34} \, J \, s$)

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