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JEE Mains · Chemistry · STD 11 - 2. structure of atom

एक इलेक्ट्रॉन का \(4^{\text {th }}\) कक्षा में डी-ब्रोग्ली तरंगदैर्ध्य _______ है। \(\pi a_0 .\left(a_0=\right.\) बोहर त्रिज्या)

  1. A \(5\)
  2. B \(4\)
  3. C \(7\)
  4. D \(8\)
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Answer & Solution

Correct Answer

(D) \(8\)

Step-by-step Solution

Detailed explanation

\(2 \pi \mathrm{r}_{\mathrm{u}}=\mathrm{n} \lambda_{\mathrm{d}}\) \(2 \pi \mathrm{a}_0 \frac{\mathrm{n}^2}{\mathrm{z}}=\mathrm{n} \lambda_{\mathrm{d}}\) \(2 \pi \mathrm{a}_0 \frac{4^2}{1}=4 \lambda_{\mathrm{d}}\) \(\lambda_{\mathrm{d}}=8 \pi \mathrm{a}_0\)
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