JEE Mains · Chemistry · STD 11 - 2. structure of atom
Frequency of the de-Broglie wave of election in Bohr's first orbit of hydrogen atom is _______ \(\times 10^{13} \mathrm{~Hz}\) (nearest integer). [Given : \(R_{\mathrm{H}}\) (Rydberg constant) \(=2.18 \times 10^{-18} \mathrm{~J}\).] (\(h\) Plank's constant) \(=6.6 \times 10^{-34}\) J.s.
- A \(600\)
- B \(657\)
- C \(661\)
- D \(668\)
Answer & Solution
Correct Answer
(C) \(661\)
Step-by-step Solution
Detailed explanation
\(\lambda=\frac{\mathrm{h}}{\mathrm{mv}}\) \(\lambda=\frac{\mathrm{hv}}{\mathrm{mv}^2}\) \(\frac{\mathrm{mv}^2}{\mathrm{~h}}=\frac{\mathrm{v}}{\lambda}=\mathrm{v} \text { (frequency) }\) \(\text { Given } \frac{1}{2} \mathrm{mv}^2=2.18 \times 10^{-18} \mathrm{~J}\)…
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