An electron inside a hydrogen atom is confined to within aspace of about 0.110 n

Question

An electron inside a hydrogen atom is confined to within aspace of about 0.110 nm. If the electron mass is 9.11 x 10^-31 kg, what is the uncertainty inthe electron's velocity? A) 1.05 x 10^6 m/s B) 1.50 x 10^6 m/s C) 1.05 x 10^8 m/s D) 1.50 x 10^8 m/s An electron inside a hydrogen atom is confined to within aspace of about 0.110 nm. If the electron mass is 9.11 x 10^-31 kg, what is the uncertainty inthe electron's velocity? A) 1.05 x 10^6 m/s B) 1.50 x 10^6 m/s C) 1.05 x 10^8 m/s D) 1.50 x 10^8 m/s

Explanation / Answer

Mass m = 9.11 * 10 ^ -31 kg

Uncertanity in position dr = 0.11 nm = 0.11 * 10 ^ -9 m

Uncertainty in speed dV = ?

From Uncertanity principle, Accuracy in velocity dv = ( h/2) ( 1/ m*dr)

where h = planck's constant = 6.625 * 10 ^ -34 J s

plug the values we get dv = 1.05 * 10 ^ 6 m / s

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