(C) According to Heisenberg's uncertainty principle, $\Delta x \times \Delta p \geq \frac{h}{4\pi}$.Given, $\Delta x = 100 \ pm = 100 \times 10^{-12}

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(C) According to Heisenberg's uncertainty principle, $\Delta x \times \Delta p \geq \frac{h}{4\pi}$.Given, $\Delta x = 100 \ pm = 100 \times 10^{-12} \ m = 10^{-10} \ m$.$h = 6.626 \times 10^{-34} \ J \ s$.Substituting the values, $\Delta p \geq \frac{h}{4\pi \Delta x}$.$\Delta p \geq \frac{6.626 \times 10^{-34}}{4 \times 3.14159 \times 10^{-10}}$.$\Delta p \geq \frac{6.626 \times 10^{-34}}{12.566 \times 10^{-10}}$.$\Delta p \geq 0.527 \times 10^{-24} \ kg \ m \ s^{-1}$.Thus, the correct option is $C$.

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

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The uncertainty in the position of an electron $(\Delta x)$ is approximately $100 \ pm$. Calculate the uncertainty in momentum $(\Delta p)$ of the electron in $kg \ m \ s^{-1}$. $[h = 6.626 \times 10^{-34} \ J \ s]$

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A
$1.104 \times 10^{-22}$
B
$0.527 \times 10^{-27}$
C
$0.527 \times 10^{-24}$
D
$1.055 \times 10^{-24}$

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The uncertainty in the position of an electron $(\Delta x)$ is approximately $100 \ pm$. Calculate the uncertainty in momentum $(\Delta p)$ of the electron in $kg \ m \ s^{-1}$. $[h = 6.626 \times 10^{-34} \ J \ s]$

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Uncertainty in position and momentum are equal. Uncertainty in velocity is :-

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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Assertion : It is impossible to determine the exact position and exact momentum of an electron simultaneously.Reason : The path of an electron in an atom is clearly defined.

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

Assertion : It is impossible to determine the exact position and exact momentum of an electron simultaneously.
Reason : The path of an electron in an atom is clearly defined.