The uncertainty in the position of an electro | vedclass

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

Question

(A) According to Heisenberg's Uncertainty Principle,the product of uncertainty in position $(\Delta x)$ and uncertainty in momentum $(\Delta p)$ is gi

Vedclass · Accepted Answer

$32 	imes 10^5$

Vedclass · Answer

(A) According to Heisenberg's Uncertainty Principle,the product of uncertainty in position $(\Delta x)$ and uncertainty in momentum $(\Delta p)$ is given by: $\Delta x \cdot \Delta p \geq \frac{h}{4\pi}$ Since the uncertainty in position $(\Delta x)$ is the same for both the electron and the helium atom,and the value of $h/4\pi$ is a constant,the uncertainty in momentum $(\Delta p)$ must also be the same for both particles. Given that the uncertainty in the momentum of the electron is $\Delta p_e = 32 	imes 10^5$,the uncertainty in the momentum of the helium atom must also be $\Delta p_{He} = 32 	imes 10^5$. Therefore,option $A$ is correct.

The uncertainty in the position of an electron and a helium atom is the same. If the uncertainty in the momentum of the electron is $32 \times 10^5$,then the uncertainty in the momentum of the helium atom is:

Similar Questions

Assertion $(A)$: The probability of finding an electron in a small volume around a point $(x, y, z)$ at a distance $r$ from the nucleus is proportional to $\psi^2$.
Reason $(R)$: Subatomic particles possess both particle and wave nature.

Who developed the fundamental equation of quantum mechanics?

Which among the following represents the Schrodinger wave equation?

Which quantum number cannot be obtained from the solution of the Schrodinger wave equation?

If you are driving a car of mass $1050 \, kg$ at a speed of $90 \, km/h$ and the uncertainty in the velocity of the car is $1 \, \%$,what will be the uncertainty in its position?

Vedclass Test Series

Exam Paper Generator

Online Exam Module