(C) According to Heisenberg's uncertainty principle, $\Delta x \times \Delta p \geq \frac{h}{4\pi}$.Given, $\Delta x = 100 \ pm = 100 \times 10^{-12}

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) According to Heisenberg's uncertainty principle, $\Delta x \times \Delta p \geq \frac{h}{4\pi}$.Given, $\Delta x = 100 \ pm = 100 \times 10^{-12} \ m = 10^{-10} \ m$.$h = 6.626 \times 10^{-34} \ J \ s$.Substituting the values, $\Delta p \geq \frac{h}{4\pi \Delta x}$.$\Delta p \geq \frac{6.626 \times 10^{-34}}{4 \times 3.14159 \times 10^{-10}}$.$\Delta p \geq \frac{6.626 \times 10^{-34}}{12.566 \times 10^{-10}}$.$\Delta p \geq 0.527 \times 10^{-24} \ kg \ m \ s^{-1}$.Thus, the correct option is $C$.

Class 11 Chemistry Structure of Atom Uncertainty principle and Schrodinger wave equation

Medium

The uncertainty in the position of an electron $(\Delta x)$ is approximately $100 \ pm$. Calculate the uncertainty in momentum $(\Delta p)$ of the electron in $kg \ m \ s^{-1}$. $[h = 6.626 \times 10^{-34} \ J \ s]$

AP EAMCET 2025 All AP EAMCET

A
$1.104 \times 10^{-22}$
B
$0.527 \times 10^{-27}$
C
$0.527 \times 10^{-24}$
D
$1.055 \times 10^{-24}$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Chemistry Questions

Chapter

Structure of Atom

Subtopic

Uncertainty principle and Schrodinger wave equation

Previous Year

AP EAMCET 2025 Paper All AP EAMCET years →

$A$ table-tennis ball has a mass of $10 \ g$ and a speed of $90 \ m/s$. If the speed can be measured within an accuracy of $4\%$,what will be the uncertainty in speed and position?

Difficult

View Solution

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

EasyAP EAMCET 2024

View Solution

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

Medium

View Solution

The possibility of finding an electron in an orbital was conceived by

Easy

View Solution

The uncertainties in the velocities of two particles,$A$ and $B$ are $0.05 \ ms^{-1}$ and $0.02 \ ms^{-1}$ respectively. The mass of $B$ is five times that of the mass of $A$. What is the ratio of uncertainties $\frac{\Delta x_A}{\Delta x_B}$ in their positions?

DifficultAIIMS 2008

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

The uncertainty in the position of an electron $(\Delta x)$ is approximately $100 \ pm$. Calculate the uncertainty in momentum $(\Delta p)$ of the electron in $kg \ m \ s^{-1}$. $[h = 6.626 \times 10^{-34} \ J \ s]$

Similar Questions

$A$ table-tennis ball has a mass of $10 \ g$ and a speed of $90 \ m/s$. If the speed can be measured within an accuracy of $4\%$,what will be the uncertainty in speed and position?

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

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

The possibility of finding an electron in an orbital was conceived by

The uncertainties in the velocities of two particles,$A$ and $B$ are $0.05 \ ms^{-1}$ and $0.02 \ ms^{-1}$ respectively. The mass of $B$ is five times that of the mass of $A$. What is the ratio of uncertainties $\frac{\Delta x_A}{\Delta x_B}$ in their positions?

Vedclass Test Series

Exam Paper Generator

Online Exam Module