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According to Heisenberg's uncertainly pr...

According to Heisenberg's uncertainly principle, the product of uncertainties in position and velocities for an electron of mass `9.1 xx 10^-31 kg` is.

A

`2.8xx10^(-3)m^(2)s^(-1)`

B

`3.8xx10^(-5)m^(2)s^(-1)`

C

`5.8xx10^(-5)m^(2)s^(-1)`

D

`6.8xx10^(-6)m^(2)s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given that mass of electron = `9.1xx10^(-31)kg`
Planck’s constant = `6.63xx10^(-34)kgm^(2)s^(-1)`
By using `DeltachixxDeltap=h/(4pi),DeltachixxDeltavxxm=h/(4pi)`
where `Deltachi` = uncertainty in position
`Deltav` = uncertainty in velocity
`DeltachixxDeltav=h/(4pixxm)`
= `(6.63xx10^(-34))/(4xx3.14xx9.1xx10^(-31))=5.8xx10^(-5)m^(2)s^(-1)`.
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