The correctness of velocity of an electron moving with velocity `50 ms^(-1)` is `0.005%` . The accuracy with which its position can be measured will be

Options

A. `4634xx10^(-3) m`
B. `4634xx10^(-5) m`
C. `4634xx10^(-6) m`
D. `4634xx10^(-8) m`

Answer

B

Explanation

Here, `Deltav=(0.005xx50)/100=0.0025ms^(-1)`
`Deltax=h/(mDeltav)=(1.034xx10^(-34))/(9.1xx10^(-31)xx0.0025)=4634xx10^(-5)m`