Multiple choice

An electron has a velocity of 400 m sec-1 that is accurate to 0.01%. With what accuracy can we locate the position of this electron?

  1. 0.0019 meter

  2. 0.0012 meter

  3. 0.0014 meter

  4. 0.0016 meter

  5. 0.0018 meter
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Mass of electron = 9.1 x 10-31 Kg
Uncertainty in the velocity of electron = 400 x 0.01/100 = 0.4 m sec-1 Now, we know, ∆ ϰ x m ∆v = h/4πOr∆ ϰ = h/4π m x ∆ v = (6.626 x 10-34)/(4 x 3.14 x 9.1 x 10-31 x 0.04) = 0.0014 meter

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