If the mass of electron is 9.11×10−31 kg. Planck's constant is 6.626×10−34 J-s and uncertainty in position is 0.1oA, then uncertainty in velocity is?
5.79×108 m/s
5.79×105 m/s
5.79×106 m/s
5.79×107 m/s
A
5.79×107 m/s
B
5.79×105 m/s
C
5.79×106 m/s
D
5.79×108 m/s
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Solution
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The correct option is C5.79×106 m/s According to Heisenberg's uncertainty principle,
ΔxΔv=h4πm
Δx=0.1A0, m=9.11×10−31kg
Δv=6.626×10−34J−s4π×9.11×10−31kg×10−11m
Δv=5.79×106m/s
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