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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` |
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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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