If the speed of the electron in the first Bohr orbit of hydrogen atom be 'x', then the speed of electron in the third Bohr orbit is:
Correct answer: B. x/3
- A. x/9
- B. x/3
- C. x
- D. 9x
Explanation
Bohr's Model and Velocity:According to Bohr's model, the velocity of an electron in the nth orbit is inversely proportional to the orbit number (n).This means: v ∝ 1/nApplying the Relationship:Let v₁ be the speed in the first Bohr orbit (n = 1) and v₃ be the speed in the third Bohr orbit (n = 3).We are given that v₁ = x.Therefore:v₁ / v₃ = n₃ / n₁x / v₃ = 3 / 1v₃ = x / 3Conclusion:The speed of the electron in the third Bohr orbit is x/3
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