Question

Determine the uncertainty in the momentum of an electron if it is confined to a linear region of length 1x10^-10 metre

Answer 1

here's your answer bro...use Heisenberg principle

Answer 2

The uncertainty in the momentum of an electron is more than $5.27\times 10^{-25}\ kg-m/s$.

Explanation:

It is given that,

Length of the region, $\Delta x=10^{-10}\ m$

To find,

The uncertainty in the momentum of an electron.

Solution,

Let $\Delta p$ is the uncertainty in the momentum of an electron. It can be calculated using the principle of uncertainty as :

$\Delta x.\Delta p\ge \dfrac{h}{4\pi}$

$\Delta p\ge \dfrac{h}{4\pi \Delta x}$

$\Delta p\ge \dfrac{6.63\times 10^{-34}}{4\pi\times 10^{-10}}$

$\Delta p\ge 5.27\times 10^{-25}\ kg-m/s$

So, the uncertainty in the momentum of an electron is more than $5.27\times 10^{-25}\ kg-m/s$.

Learn more,

Heisenberg uncertainty principle

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