The speed of an electron is measured to be 5χ103 m/s to an accuracy of
0.003%. Find the uncertainty in determining position of this electron.
Answers
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Answer:
Uncertainty in determining position of this electron is 0.015 m
Explanation:
From the above question,
They have given :
The speed of an electron is measured to be 5χ103 m/s to an accuracy of
0.003%.
The uncertainty of a measurement is equal to the accuracy of the measurement multiplied by the magnitude of the measurement, divided by 100. In this case, the accuracy of the measurement is 0.003% and the magnitude of the measurement is 5x103 m/s, so the uncertainty in the position of the electron is 0.015 m.
To find the uncertainty in determining position of this electron:
Uncertainty in position = (speed * uncertainty in speed) / 100
Uncertainty in position = (5 x 103 m/s * 0.003% ) / 100
Uncertainty in position = (5 x 103 m/s * 0.00003) / 100
Uncertainty in position = 0.015 m
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