NEET · Physics · STD 12 - 11. Dual nature of radiation and matter
A proton and an \(\alpha\) -particle are accelerated from rest to the same energy. The de Broglie wavelengths \(\lambda_{\mathrm{p}}\) and \(\lambda_{\alpha}\) are in the ratio,
- A \(2:1\)
- B \(1:1\)
- C \(\sqrt{2}: 1\)
- D \(4:1\)
Answer & Solution
Correct Answer
(A) \(2:1\)
Step-by-step Solution
Detailed explanation
\(\lambda=\frac{\mathrm{h}}{\sqrt{2 \mathrm{mE}_{\mathrm{k}}}} \quad( \because \mathrm{E}_{\mathrm{k}}\) ls same for both) \(\Rightarrow \frac{\lambda_{p}}{\lambda_{\alpha}}=\sqrt{\frac{4 m}{m}}=2: 1\)
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