what is the uncertainty in position associated with an electron of mass 9.625×10^-23 , if uncertainty in velocity is 0.002 ?
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11th
Chemistry
Structure of Atom
Towards Quantum Mechanical Model of Atom
What will be the uncertaint...
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Asked on November 22, 2019 by
Nupur Dhavna
What will be the uncertainty in velocity of an electron when the uncertainty in its position is 1000
A
˚
?
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ANSWER
According to Heisenberg's uncertainity principle:
Δx.Δp=
4π
h
Δx.Δ(mv)=
4π
h
Δv=
4πmΔx
h
h=6.626×10
−34
Js=Planck's constant
Given m=mass of electron=9.1×10
−31
kg and Δx=1000
A
˚
=10
−7
m
upon substitution we get:
Δv=
4×3.14×9.1×10
−31
×10
−7
6.626×10
−34
Δv=0.0579×10
4
=5.79×10
2
m/s
So, the correct option is A
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The uncertainty in the position of an electron is equal to its de-Broglie wavelength. The minimum per cent error in its measurement of velocity under these circumstances will be approximate __________.
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The mass of electron is 9.11×10
−31
Kg Planck constant is 6.626×10
−34
Js, the uncertainty involved in the measurement of velocity within a distance of 0.1A
∘
is:
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