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The radius of the first orbit of hydrogen atom is 0.52 × 1 0 - 8 cm. The radius of the first orbit of helium atom is

Options

  1. A0.26 × 1 0 - 8 cm
  2. B0.52 × 1 0 - 8 cm
  3. C1.04 × 1 0 - 8 cm
  4. D2.08 × 1 0 - 8 cm

Correct answer

A. 0.26 × 1 0 - 8 cm

Step-by-step solution

r n = n 2 Z 0.52 × 1 0 - 8 cm For H-atom Z = 1 , n = 1, r 1 = 0.52 × 1 0 - 8 cm For He atom, n = 1, Z = 2, r 1 = 1 2 × 0.5 × 1 0 - 8 cm = 0.26 × 1 0 - 8 cm

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