Asked in UHS MDCAT 2010 2010Moderate

Velocity of electron moving in first orbit of hydrogen is:

Correct answer: D. 2.19 x 10^6 m/sec

  • A. 2.19 x 10^7 m/sec
  • B. 2.18 x 10^7 m/sec
  • C. 2.2 x 10^8 m/sec
  • D. 2.19 x 10^6 m/sec

Explanation

The velocity of an electron in the first orbit of hydrogen can be calculated using the Bohr model formula: v = n × h / (2π × m × r), where: n is the principal quantum number (1 for the first orbit), h is Planck's constant (6.63 × 10-34 Js), m is the mass of the electron (9.1 × 10-31 kg), r is the radius of the orbit (0.529 × 10-10 m). Substituting these values gives a velocity of approximately 2.19 × 106 m/s. The other options are incorrect as they either exceed feasible values or are too high for the first orbit.

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