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Calculate the product of uncertainity in...

Calculate the product of uncertainity in position and uncertainity in velocity for an electron of mass `9.1xx10^(-31)kg`. According to Heisenberg's uncertainty principle. `(h=6.6xx10^(-34)kgm^(2)s^(-1),pi=3.14)`:-

A

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

B

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

C

`0`

D

`5.8xx10^(-9)m^(2)s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A

According to heisenberg's uncertainty principle
`Deltax xxDeltaV=(h)/(4pim)`
`Deltax xxDeltaV=(6.6xx10^(-34)kgm^(2)s^(-1))/(4xx3.14xx9.1xx10^(-31)kg)`
`=5.8xx10^(-5)m^(2)s^(-1)`.
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