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Uncertainty in position of electron is o...

Uncertainty in position of electron is of the order of de-Broglie wavelength .By using Heisenberg's principle uncertainty in velocity will be….

A

1 v

B

2 v

C

`(v)/(2pi)`

D

`2piv`

Text Solution

Verified by Experts

The correct Answer is:
C
`Deltax.Deltap=(h)/(2pi)`
`therfore Delta x[mDeltav]=(h)/(2pi)`
`therefore Deltax[mDeltav]=(h)/(2pi)`
`therefore Deltav=(h)/(2pimDeltax)=(h)/(2pimlambda)[because Deltax=lambda]`
`therefore Deltav=(p)/(2pim)=(mv)/(2pim)=(v)/(2pi)[because (h)/(pi)=p]`
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