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MHT CET 2024 (10 May, Shift 1) · Bohr Model: Orbits, Speed & Angular Momentum

Bohr Model: Orbits, Speed & Angular Momentum question from MHT CET 2024 (10 May, Shift 1)

Q54MHT CET 2024 · 10 MAY · SHIFT 1Medium

Bohr Model: Orbits, Speed & Angular Momentum

Using Bohr's model, the orbital period of electron in hydrogen atom in $n$ th orbit is ( $m =$ mass of electron, $h =$ Planck's constant, $e =$ electronic charge, $\varepsilon_0 =$ permittivity of free space)

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Answer: (c)

$r_n = \frac{\varepsilon_0 n^2 h^2}{\pi m e^2}$ , $v_n = \frac{e^2}{2\varepsilon_0 nh}$
$T = \frac{2\pi r_n}{v_n} = \frac{4\varepsilon_0^2 n^3 h^3}{m e^4}$
So the answer is (c).

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