The mass a particle is `10^(-10)` g and its radius is `2xx10^(-4)` cm. If its velocity is `10^(-6)` cm `sec^(-1)` with `0.0001%` uncertainty in measurement, the uncertainty in its position is :

Options

A. `5.2xx10^(-8)m`
B. `5.2xx10^(-7)m`
C. `5.2xx10^(-6)m`
D. `5.2xx10^(-9)J`

Answer

1

Explanation

`m=10^(-10)grArr10^(-13)kg,`
`Deltav=(0.0001)/(100)xx10^(-6)xx10^(-2)=10^(-14)m sec^(-1)`
`=Deltax-Deltap=(h)/(4x)`
`rArrDeltax=(h)/(4piDeltap)=(h)/(4pimDeltav),`
`Deltax=(6.62xx10^(-34))/(4xx3.14xx10^(-13)xx10^(-14))`
`Deltax=(6.62)/(12.56)xx(10^(-34))/(10^(-27)),Deltax=5.2xx10^(-5)m`