Practice question
Question
What is the orbital period of an electron in the n = 4 orbit if v_1 = 2.2 × 10⁶m/s and r_1 = 5.3 × 10⁻¹¹m ?
Explanation
Given:
What is the orbital period of an electron in the n = 4 orbit if v_1 = 2.2 × 10⁶m/s and r_1 = 5.3 × 10⁻¹¹m ?
Formula:
v_4 = 2.2 × 10⁶/4 = 5.5 × 10⁵m/s.
Substitution & Calculation:
r_4 = 16 × 5.3 × 10⁻¹¹= 8.48 × 10⁻¹⁰m . T = 2π r_4/v_4 = frac2 × 3.14 × 8.48 × 10⁻¹⁰⁵.5 × 10⁵approx 9.68 × 10⁻¹⁵s .
Final Result:
The computed value matches expected outcome and confirms correct choice as per latest NCERT 2026-27.
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