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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 minimum uncertainty in the speed of this oxygen molecule?

Respuesta :

As we know that Heisenber's uncertainty law gives that

[tex]\Delta x * \Delta P = \frac{h}{4\pi}[/tex]

here we know that

[tex]\Delta x = uncertainty In Position = 0.12 mm[/tex]

[tex]\DeltaP = uncertainty In Momentum = m*v[/tex]

now from the above formula we will have

[tex]0.12 * 10^{-3}* 32*10^{-3}v = \frac{h}{4\pi}[/tex]

[tex]3.84*10^{-6}*v = \frac{6.6*10^{-34}}{4\pi}[/tex]

[tex]v = 1.37 * 10^{-29}m/s[/tex]

so above is the uncertainty in the speed

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