The uncertaintuy invelved in the measurement fo velocity within a distance of ` 0.1 Å ` is :

Options

A. `5.79xx10^(8)ms^(-1)`
B. `5.79xx10^(5)ms^(-1)`
C. `5.79xx10^(6)ms^(-1)`
D. `5.79xx10^(7)ms^(-1)`

Answer

C

Explanation

`Delta u. Delta x = h/(4 pi m)`
` :. Delta u = h/( 4 pi m. Delta x)`
` = ( 6.626 xx 10^(-34))/( 4 xx 3.14 xx 9. 11 xx 10^(-31) xx 0.1 xx 10^(-10))`
` = 5. 8 xx 10^6 ms^(-1)`.