At what speed should the electron revolve around the nucleus of a hydrogen atom in order that it may not be pulled into the nucleus by electrostatic attraction? Take the radius of orbit of an electron

Question

At what speed should the electron revolve around the nucleus of a hydrogen atom in order that it may not be pulled into the nucleus by electrostatic attraction? Take the radius of orbit of an electron as 0.5 Å , the mass of the electron as 9.1 × 10 - 31 kg and charge as 1.6 × 10 - 19 C .

TestHub · Accepted Answer

For motion of the electron around the nucleus, m v 2 r = 1 4 π ε 0 . e . e r 2 ⇒ v 2 = 1 4 π ε 0 . e 2 m r ⇒ v 2 = 9 × 10 9 × 1.6 × 10 - 19 2 9.1 × 10 - 31 × 0.5 × 10 - 10 = 5 × 10 12 ⇒ v ≈ 2.25 × 10 6 m s - 1

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