Which of the following does not represent the | vedclass

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

Question

(D) According to the $	ext{HEISENBERG}$ uncertainty principle, the product of uncertainty in position and momentum is given by $\Delta x \cdot \Delta

Vedclass · Accepted Answer

$\Delta E \cdot \Delta x \geq \frac{h}{4 \pi}$

Vedclass · Answer

(D) According to the $	ext{HEISENBERG}$ uncertainty principle, the product of uncertainty in position and momentum is given by $\Delta x \cdot \Delta p \geq \frac{h}{4 \pi}$.Since $\Delta p = m \Delta v$, substituting this into the equation gives $\Delta x \cdot m \Delta v \geq \frac{h}{4 \pi}$, which simplifies to $\Delta x \cdot \Delta v \geq \frac{h}{4 \pi m}$.Additionally, the principle can be expressed in terms of energy and time as $\Delta E \cdot \Delta t \geq \frac{h}{4 \pi}$.Therefore, the expression $\Delta E \cdot \Delta x \geq \frac{h}{4 \pi}$ is incorrect.

Which of the following does not represent the mathematical expression for the $\text{HEISENBERG}$ uncertainty principle?

Similar Questions

Uncertainty in the position of an electron (mass $= 9.1 \times 10^{-31} \ kg$) moving with a velocity $300 \ ms^{-1}$ accurate up to $0.001 \ \%$ will be $(h = 6.63 \times 10^{-34} \ J \cdot s)$.

The correct form of the $Schrodinger$ wave equation for an electron,as derived by $Erwin$ $Schrodinger$,is:

Provide the equation for a system where the energy of an atom or molecule does not change with time.

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?

The minimum uncertainty in the speed of an electron in a one-dimensional region of length $2 a_{0}$ (where $a_{0} = \text{Bohr radius} = 52.9 \ pm$) is $km \ s^{-1}$. (Given: Mass of electron $= 9.1 \times 10^{-31} \ kg$,Planck's constant $h = 6.63 \times 10^{-34} \ J \ s$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module