(D) Given, the product of uncertainty in position $(\Delta x)$ and uncertainty in velocity $(\Delta v)$ is $\Delta x \cdot \Delta v = 5.79 \times 10^{

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(D) Given, the product of uncertainty in position $(\Delta x)$ and uncertainty in velocity $(\Delta v)$ is $\Delta x \cdot \Delta v = 5.79 \times 10^{-5} \ m^2 \ s^{-1}$.Uncertainty in position $\Delta x = 1 \ nm = 1 \times 10^{-9} \ m$.To find the uncertainty in velocity $(\Delta v)$:$\Delta v = \frac{\Delta x \cdot \Delta v}{\Delta x} = \frac{5.79 \times 10^{-5} \ m^2 \ s^{-1}}{1 \times 10^{-9} \ m} = 5.79 \times 10^4 \ m \ s^{-1}$.

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

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The product of uncertainty in the position and uncertainty in the velocity of a particle is $5.79 \times 10^{-5} \ m^2 \ s^{-1}$. If the uncertainty in the position is $1 \ nm$, what is the uncertainty in the measurement of its velocity in $m \ s^{-1}$?

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A
$5.79 \times 10^7$
B
$5.79 \times 10^5$
C
$5.79 \times 10^{-5}$
D
$5.79 \times 10^4$

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The product of uncertainty in the position and uncertainty in the velocity of a particle is $5.79 \times 10^{-5} \ m^2 \ s^{-1}$. If the uncertainty in the position is $1 \ nm$, what is the uncertainty in the measurement of its velocity in $m \ s^{-1}$?

Similar Questions

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: $h = 6.626 \times 10^{-34} \, J \, s$)

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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: $h = 6.626 \times 10^{-34} \, J \, s$)