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 .

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 ., 2 .25 × 10 4 m s - 1, 2 .25 × 10 5 m s - 1, 2 .25 × 10 6 m s - 1, 2 .25 × 10 7 m s - 1

MARKS App · 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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