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Questions  >>  SAT  >>  Chemistry  >>  Atomic Structure
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Q)

The uncertainty in the position of a moving bullet of mass 10 g is $10^{-5}\;m$. Calculate the uncertainty in its velocity ?

$\begin{array}{1 1} (a)\;5.20 \times 10^{-27}\;mv \\ (b)\;5.28 \times 10^{-28}\;mv \\ (c)\;6.20 \times 10^{-27}\;mv \\ (d)\;4.20 \times 10^{-27}\;mv \end{array} $

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A)
Solution :
$\Delta x. m \Delta v= \large\frac{h}{4 \pi}$
or $\Delta v= \large\frac{h}{4 \pi m \Delta x}$
$h= 6.626 \times 10^{-34}\;kg\;m^2\;s^{-1}$
$m= 10\;g=10^{-2}\;kg$
$\Delta x= 10^{-5}\;m$
$\Delta v= 5.27 \times 10^{-28}\;mv$
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