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in Chemistry by (79 points)
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Calculate the product of uncertainty displacement and velocity for an electron.

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1 Answer

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According to Heisenberg's uncertainty principle,
∆x.m∆v = h/4π
so, ∆x.∆v = h/4πm

Hence, product of uncertainty in position and velocity = h/4πm
Here, m = 9.1 × 10-31 kg , h = 6.626 × 10-34 J.s
Now, product of uncertainty in position and velocity = 6.626 × 10-34/(4 × 3.14 × 9.1 × 10-31 )
= 6.626 × 10-3/(4 × 3.14 × 9.1)
= 0.0579 × 10-3 m2/s
= 5.79 × 10-5 m2/s

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