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Determine the orbital radius when r is proportional to n² / m.

1. R = 0.51 / 207
2. 2.56 × 10⁻¹³ m
3. Energy is proportional to mass
4. Eₙ = -13.6 × 207 = -2.8 keV

Correct answer: 2.56 × 10⁻¹³ m

Solution

The formula r ∝ n² / m indicates that the radius of the orbit depends on the square of the principal quantum number (n) and inversely on the mass (m). The correct radius value is given as 2.56 × 10⁻¹³ m.

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