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MHT CET 2021 (21 Sep, Shift 2) · Bohr Model: Orbits, Speed & Angular Momentum

Bohr Model: Orbits, Speed & Angular Momentum question from MHT CET 2021 (21 Sep, Shift 2)

Q91MHT CET 2021 · 21 SEP · SHIFT 2Medium

Bohr Model: Orbits, Speed & Angular Momentum

Ratio centripetal acceleration for an electron revolving in 3rd and 5th Bohr orbit of hydrogen atom is

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Answer: (b)

Centripetal acceleration $a = \frac{v^2}{r}$ with $v \propto \frac{1}{n}$ and $r \propto n^2$ .
So $a \propto \frac{1/n^2}{n^2} = \frac{1}{n^4}$ .
$\frac{a_3}{a_5} = \frac{5^4}{3^4} = \frac{625}{81}$
So the answer is (b) $625 : 81$ .

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