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Accuracy in momentum of electron moving ...

Accuracy in momentum of electron moving with velocity of 50 `ms^(-1)` is 0.005 %. Then accuracy in its position is…..

A

`2.32xx10^(-2)m`

B

`46xx10^(-4)m`

C

`46xx10^(-3)m`

D

`46xx10^(-6)m`

Text Solution

Verified by Experts

The correct Answer is:
A
Momentum of electron p=mv
`therefore` uncertainty in momentum
`=mvxx0.005%`
`=9.1xx10^(-31)xx50xx(0.005)/(100)`
`=2.275xx10^(-33)kg ms^(-1)`
Corresponding uncertainty In position ,
`Deltax=(h)/(2piDeltaP)`
`=(6.625xx10^(-34))/(2xx3.14xx2.275xx10^(-33))`
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