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Readme [11.4K]
3 years ago
5

The uncertainty in position of a proton confined to the nucleus of an atom is roughly the diameter of the nucleus. If this diame

ter is 7.8x10^-15 m, what is the uncertainty in the proton's momentum? Express your answer using two significant figures.
Physics
1 answer:
irakobra [83]3 years ago
5 0

<u>Answer:</u> The uncertainty in proton's momentum is 1.3\times 10^{-20}kg.m/s

<u>Explanation:</u>

The equation representing Heisenberg's uncertainty principle follows:

\Delta x.\Delta p\geq \frac{h}{2\pi}

where,

\Delta x = uncertainty in position = d = 7.8\times 10^{-15}m

\Delta p = uncertainty in momentum = ?

h = Planck's constant = 6.627\times 10^{-34}kgm^2/s^2

Putting values in above equation, we get:

\Delta p=\frac{6.627\times 10^{-34}kgm^2/s^2}{2\times 3.14\times 7.8\times 10^{-15}m}\\\\\Delta p=1.3\times 10^{-20}kg.m/s

Hence, the uncertainty in proton's momentum is 1.3\times 10^{-20}kg.m/s

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