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What will be uncertainty in momentum if ...

What will be uncertainty in momentum if uncertainty in position and velocity are equal?

A

`(1)/(2)sqrt((mh)/(pi))`

B

`(1)/(2)sqrt((h)/(pi m))`

C

`(h)/(4pi m)`

D

`(mh)/(4pi)`

Text Solution

Verified by Experts

The correct Answer is:
A
`Delta x = Delta v`
`Delta x xx Delta p ge (h)/(4pi)`
`Delta x xx m Delta v = (h)/(4pi) " " [:. Delta x = Delta v]`
`(Delta v)^(2) = (h)/(4pi m)`
`Delta p = mDelta v = msqrt((h)/(4pi m)) = sqrt((mh)/(4pi))`
`= (1)/(2) sqrt((mh)/(pi))`
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