If the uncertainty in position and momentum o | vedclass

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

Question

(A) According to Heisenberg's uncertainty principle,$\Delta x \cdot \Delta p \geq \frac{h}{4\pi}$.Given that the uncertainty in position $(\Delta x)$

Vedclass · Accepted Answer

$\frac{1}{2}\sqrt{\frac{h}{\pi}}$

Vedclass · Answer

(A) According to Heisenberg's uncertainty principle,$\Delta x \cdot \Delta p \geq \frac{h}{4\pi}$.Given that the uncertainty in position $(\Delta x)$ is equal to the uncertainty in momentum $(\Delta p)$,i.e.,$\Delta x = \Delta p$.Substituting $\Delta x$ with $\Delta p$ in the equation: $(\Delta p)^2 = \frac{h}{4\pi}$.Taking the square root on both sides: $\Delta p = \sqrt{\frac{h}{4\pi}} = \frac{1}{2}\sqrt{\frac{h}{\pi}}$.

If the uncertainty in position and momentum of a particle are equal,then what will be the uncertainty in the momentum of the particle?

Similar Questions

Which of the following statements regarding $\Psi$ is incorrect?

The uncertainty in the velocities of two particles $A$ and $B$ are $0.03 \ m \ s^{-1}$ and $0.01 \ m \ s^{-1}$ respectively. The mass of $B$ is four times the mass of $A$. The ratio of uncertainties in their positions is

The Heisenberg uncertainty principle is not valid for

Which of the following rules states that it is impossible to determine simultaneously the exact position and exact momentum of an electron?

What is $\psi$ and what is $|\psi|^2$? What do they represent?

Vedclass Test Series

Exam Paper Generator

Online Exam Module