Uncertainty in position:
If the electron has an uncertainty in its velocity of 1.40 m/s then the uncertainty in its position is .
Heisenberg's uncertainty principle to calculate the required:
Step-1:
We have to apply Heisenberg's uncertainty principle to calculate the uncertainty in the position of an electron. According to the principle:
Here,
is the uncertainty on the position measurement
is the uncertainty on the momentum measurement
h is the Planck constant.
It is known that the momentum of a particle is calculated as, the product of the mass of the particle and its velocity.
Therefore,
p=mv
Thus the Heisenberg principle becomes:
Here is the uncertainty in the velocity measurement.
It is given that, =1.40 m/s. The particle is electron here, thus the mass of the particle m= and the value of the Plank's constant is, h=
Step-2:
Substituting the values into the equation to get the value of the position uncertainty.
To know more about the uncertainty in position, refer to:
brainly.com/question/9574825
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