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MHT CET 2024 (11 May, Shift 2) · Bohr Model: Orbits, Speed & Angular Momentum

Bohr Model: Orbits, Speed & Angular Momentum question from MHT CET 2024 (11 May, Shift 2)

Q51MHT CET 2024 · 11 MAY · SHIFT 2Medium

Bohr Model: Orbits, Speed & Angular Momentum

In a hydrogen atom in its ground state, the first Bohr orbit has radius $r_1$ . The electron's orbital speed becomes one-third when the atom is raised to one of its excited states. The radius of the orbit in that excited state is

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Answer: (c)

$v_n \propto \frac{1}{n}$ , so $v = \frac{v_1}{3} \Rightarrow n = 3$
$r_n \propto n^2 \Rightarrow r = 9r_1$
So the answer is (c) $9r_1$ .

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