A proton is accelerated to a velocity of one tenth times that of the velocity of light. If the uncertainty in the determination of its velocity be `+-0.5%`, calculate the uncertainty in locating its position. [mass of proton `=1.675xx10^(-27)kg`].

Explanation

`Deltav=3xx10^(8)ms^(-1)xx(1)/(10)xx(5)/(10)=15xx10^(4)m*s^(-1)`
`Deltax=(h)/(4pimDeltav)=(6.626xx10^(-34))/(4xx3.14xx(1.675xx10^(-27))xx(15xx10^(4)))`
`=2.1xx10^(-13)m`