Question

Calculate the uncertainty of a moving electron if uncertainty in velocity is 0.3m/s

Answer 1

Explanation:

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11th

Chemistry

Structure of Atom

Towards Quantum Mechanical Model of Atom

What will be the uncertaint...

CHEMISTRY

What will be the uncertainty in velocity of an electron when the uncertainty in its position is 1000

A

˚

?

MEDIUM

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VIDEO EXPLANATION

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