MHT CET2009PhysicsLaws of Motion
If an electron is revolving around the hydrogen nucleus at a distance of 0.1 ~nm , what should be its speed?
Options
- A2.188 10⁶ ~ms ⁻¹
- B1.094 10⁶ ~ms ⁻¹
- C4.376 10⁶ ~ms ⁻¹
- D1.59 10⁶ ~ms ⁻¹
Correct answer
D. 1.59 10⁶ ~ms ⁻¹
Step-by-step solution
Electrostatic force = centripetal force 1 4 ₀ Z e² r² = m v² r v= ( 1 4 ₀ Z e² m r ) = 9 10⁹ 1 (1.6 10⁻¹⁹ )² (9.1 10⁻³¹ ) (0.1 10⁻⁹ ) =1.59 10⁶ ~ms -1