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MHT CET 2024 (15 May, Shift 2) · Bohr Model: Orbits, Speed & Angular Momentum

Bohr Model: Orbits, Speed & Angular Momentum question from MHT CET 2024 (15 May, Shift 2)

Q56MHT CET 2024 · 15 MAY · SHIFT 2Medium

Bohr Model: Orbits, Speed & Angular Momentum

Acceleration of an electron in the first Bohr's orbit is proportional to ( $m =$ mass of electron, $r =$ radius of the orbit, $h =$ Planck's constant)

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Answer: (b)

$mvr = \frac{h}{2\pi} \Rightarrow v = \frac{h}{2\pi m r}$
$a = \frac{v^2}{r} = \frac{h^2}{4\pi^2 m^2 r^3}$
So $a \propto \frac{h^2}{m^2 r^3}$ , answer (b).

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