1.

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

Answer» Correct Answer - 1
`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`


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