In the lungs there are tiny sacs of air, which are called alveoli. an oxygen molecule is trapped within a sac, and the uncertainty in its position is 0.12 mm. what is the minimu…

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asked Dec 4, 2019 35.4k views

1 Answer

Ankur Gupta · Answer 1 · 2019-12-10T06:00:06+0000

As we know that Heisenber's uncertainty law gives that

$\Delta x * \Delta P = (h)/(4\pi)$

here we know that

$\Delta x = uncertainty In Position = 0.12 mm$

$\DeltaP = uncertainty In Momentum = m*v$

now from the above formula we will have

$0.12 * 10^(-3)* 32*10^(-3)v = (h)/(4\pi)$

$3.84*10^(-6)*v = (6.6*10^(-34))/(4\pi)$

v = 1.37 * 10^(-29)m/s

so above is the uncertainty in the speed