Question

Calculate the uncertainty in the momentum of an electron if it is confined to a linear region of length .

Hard

Solution

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This is a simple application of  Heisenberg’s  uncertainty principle, which is as follows:

where is the uncertainty in position, and is the uncertainty in momentum and is the planks constant.
Now, the uncertainty in a position here is simply the region where your electron is confined.
Here it is
Therefore,


Which means your Uncertainty in Momentum is approximately,
Therefore ;

Solve any question of Structure of Atom with:-

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