Question

Asked Sep 22, 2019

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calculate the uncertainty in the position of a hydrogen atom when its velocity is known to be within 50.0 m/s. How does the uncertainty in position compare to the radius of the hydrogen atom at approximately 0.040 nm (1 amu = 1.66 * 10^-27 kg).

really struggling on the second part of the question. thank you.

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Step 1

It is given that:

Uncertainty in velocity = 50.0 m/s

Mass of hydrogen atom = 1.66×10^{-27} kg

Radius of hydrogen atom = 0.040 nm

Step 2

Heisenberg uncertainty principle states that it is impossible to determine the exact position and velocity of a particle simultaneously. The mathematical expression for Heisenberg uncertainty principle is given as follows:

Step 3

Thus, the uncertainty in position of hydroge...

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