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JEE Main20246 Apr 2024Morning ShiftChemistryStructure of AtomActual

Frequency of the de-Broglie wave of electron in Bohr's first orbit of hydrogen atom is _______ ( 10¹³ ~Hz ) (nearest integer). ( aligned & [Given : R _ H ( Rydberg constant )=2.18 10⁻¹⁸ ~J , h (Plank's & constant )=6.6 10⁻³⁴ ~J .s.] aligned )

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Step-by-step solution

aligned & = h mv & = hv mv ^2 & mv ^2 ~h = v = v (frequency) & Given 1 2 mv ^2=2.18 10⁻¹⁸ ~J & ~h =6.6 10⁻³⁴ & v = 4.36 10⁻¹⁸ 6.6 10⁻³⁴ =660.60 10¹³ ~Hz & 661 10¹³ ~Hz aligned

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