(D) According to Heisenberg's uncertainty principle:$\Delta x \cdot m \cdot \Delta v = \frac{h}{4\pi}$Rearranging for mass $(m)$:$m = \frac{h}{4\pi \c

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(D) According to Heisenberg's uncertainty principle:$\Delta x \cdot m \cdot \Delta v = \frac{h}{4\pi}$Rearranging for mass $(m)$:$m = \frac{h}{4\pi \cdot \Delta x \cdot \Delta v}$Substituting the given values:$m = \frac{6.625 \times 10^{-34}}{4 \times 3.14159 \times 10^{-10} \times 5.27 \times 10^{-24}}$$m = \frac{6.625 \times 10^{-34}}{6.625 \times 10^{-33}}$$m = 0.1 \ kg$ (approximately $0.099 \ kg$ based on the provided constants).Thus,the correct option is $D$.

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

Medium

The uncertainty in the position and velocity of a particle are $10^{-10} \ m$ and $5.27 \times 10^{-24} \ ms^{-1}$ respectively. The mass of the particle is ............. $kg$. $(h = 6.625 \times 10^{-34} \ JS)$

A
$1.200$
B
$0.109$
C
$1.750$
D
$0.099$

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Structure of Atom

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Uncertainty principle and Schrodinger wave equation

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

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The uncertainty in the position and velocity of a particle are $10^{-10} \ m$ and $5.27 \times 10^{-24} \ ms^{-1}$ respectively. The mass of the particle is ............. $kg$. $(h = 6.625 \times 10^{-34} \ JS)$

Similar Questions

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

Uncertainty in position of a $0.25 \ g$ particle is $10^{-5} \ m$. What is the uncertainty in its velocity? (Given: $h = 6.6 \times 10^{-34} \ J \ s$)

What does the uncertainty principle state regarding the existence of a definite path or trajectory of an electron?

If the position of the electron was measured with an accuracy of $\pm 0.002 \ nm$,the uncertainty in the momentum of it would be (in $kg \ ms^{-1}$) $(h=6.626 \times 10^{-34} \ J \ s)$.

The wave mechanical model of atom is based upon

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