The speed of an electron moving at 60m/s is measured to an accuracy of
0.05%. What would be the minimum error in determining its position?
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Answer:
Error in position is 1.42 x 10^-³ m
Explanation:
Δx × mΔv ≥ h/4π
mass of electron= 9.1 x 10^-³¹ kg
h/4π = 5.204 x 10^-³⁴
∆v = 60x0.05/100 = 0.03 m/s
∆x ≥ (5.204 x 10^-³⁴)/(9.1 x 10^-³¹ x 0.03)
∆x ≥ 1.42 x 10^-³ m
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