Q43. In Bohr's atomic model, the radius of the first orbit isr₀. The radius of the third orbit will

Q: What is the correct answer for CUET UG Physics Q43?

The correct answer is b. According to Bohr's atomic model, the radius of the nth orbit (r_n) for a hydrogen-like atom is given by the formula r_n = r₀ * (n²/Z), where r₀ is the Bohr radius (the radius of the first orbit of a hydrogen atom), n is the principal quantum number (representing the orbit number), and Z is the atomic number of the element. For a hydrogen atom (Z = 1), the formula simplifies to r_n = r₀ * n². For

Q: Q43. In Bohr's atomic model, the radius of the first orbit isr₀. The radius of the third orbit will be: (a) 3 r₀ (b) 9 r₀ (c) r₀ (d) r₀/3

The correct answer is b. According to Bohr's atomic model, the radius of the nth orbit (r_n) for a hydrogen-like atom is given by the formula r_n = r₀ * (n²/Z), where r₀ is the Bohr radius (the radius of the first orbit of a hydrogen atom), n is the principal quantum number (representing the orbit number), and Z is the atomic number of the element. For a hydrogen atom (Z = 1), the formula simplifies to r_n = r₀ * n². For

Q: What are the options for this CUET UG Physics question?

A. 3 r₀ · B. 9 r₀ · C. r₀ · D. r₀/3

Question

Q43. In Bohr's atomic model, the radius of the first orbit isr₀. The radius of the third orbit will be:
(a) 3 r₀
(b) 9 r₀
(c) r₀
(d) r₀/3

FirstInTest · Accepted Answer

According to Bohr's atomic model, the radius of the nth orbit (r_n) for a hydrogen-like atom is given by the formula r_n = r₀ * (n²/Z), where r₀ is the Bohr radius (the radius of the first orbit of a hydrogen atom), n is the principal quantum number (representing the orbit number), and Z is the atomic number of the element. For a hydrogen atom (Z = 1), the formula simplifies to r_n = r₀ * n². For the first orbit (n = 1), the radius is r₁ = r₀ * (1)² = r₀. For the third orbit (n = 3), the radius will be r₃ = r₀ * (3)² = 9r₀. Therefore, the radius of the third orbit will be 9r₀. Options (a), (c), and (d) are incorrect as they do not follow the n² proportionality correctly.

Answer

3 r₀

Answer

9 r₀

Answer

r₀

Answer

r₀/3

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