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Calculate the uncertainty in position of...

Calculate the uncertainty in position of an electron whose velocity is `3.0 xx 10^4 cms^(-1)` accurate up to 0.001%. Mass of an electron `=9.1 xx 10^(-28)g`.

A

`1xx10^(9)` cm `s^(-1)`

B

`1xx10^(6)` cm `s^(-1)`

C

`1xx10^(5)` cm `s^(-1)`

D

`1xx10^(11) ` cm `s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A

(a) Given, `Delta p=1xx10^(-18) "g cm "s^(-1)` (uncertainty in momentum)
Mass `=9xx10^(-28) g`
`Delta p =m Deltav `
`1xx10^(-18)=9xx10^(-28)xx Deltav` (uncertainty in velocity)
`Delta v= 1xx10^(9) cm s^(-1)`
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