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If uncertainties in position and momentu...

If uncertainties in position and momentum of a moving object are same, find uncertanty in velocity.

Text Solution

Verified by Experts

According to uncertainty principle, `Deltax*Deltap=(h)/(4pi)`
or, `(Deltap)^(2)=(h)/(4pi)" "[because Deltax=Deltap]`
`therefore Deltap=sqrt((h)/(4pi)) or, mDeltav=sqrt((h)/(4pi)) or, Deltav=(1)/(2m)sqrt((h)/(pi))`
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