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If uncertainties in the measurement of p...

If uncertainties in the measurement of position and momentum are equal, then uncertainty in the measurement of velocity is

A

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

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`Delta x = Delta p = m Delta v` (Given)
`Delta x. m Delta v = (h)/(4pi)`
`m Delta v. m Delta v = (h)/(4pi)`
`(Delta v)^(2) = (h)/(4pi m^(2))`
`Delta v =(1)/(2m) sqrt((h)/(m))`
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