Question
Asked Oct 9, 2019
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Detemine the velocity of an electron in Bohr's H atom for a quantum state n.

(HINT: you will leave your velocity in terms of n. Start with the kinetic energy (1/2mv^2) = Total energy

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Expert Answer

Step 1

The centrifugal force acting along the radial direction outward is equal to the coulombic force of attraction acting inward between the nucleus with charge Ze and an electron e.

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1st Orbit e Ze. >mv?/r

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Step 2

Where, m is the mass of electron, v is the velocity of electron, r is the distance between the nucleus and electron and Z is the atomic number than we get:

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2 Ze mv 4πε,r γ Ze ν .(1) 4πε,mr

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Step 3

Now, from Bohr’s postulate the angular momentum is...

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пh .(2) mvr = 2л squaring both sides we get, 4л ....(3) 4л' mр

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