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For an electron, if the uncertainty in v...

For an electron, if the uncertainty in velocity is `Deltav`, the uncertainty in position `Deltax` is given by:

A

`(hm)/(4pi Delta v) `

B

`(4pi)/(hm Deltav) `

C

`(h)/(4pi m Deltav)`

D

`(4pim)/(h Deltav)`

Text Solution

Verified by Experts

The correct Answer is:
C
According to Heisenberg.s uncertainty principle
`Deltax.Deltap ge (h)/(4pi)`
But `Deltap` (momentum) `=mDeltav`
`Delta x.m Deltav ge (h)/(4pi)`
`Delta x=(h)/(4pi m Delta v)`
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