JEE Mains · Physics · STD 12 - 11. Dual nature of radiation and matter
The de Broglie wavelengths of a proton and an \(\alpha\) particle are \(\lambda\) and \(2 \lambda\) respectively. The ratio of the velocities of proton and \(\alpha\) particle will be _______.
- A \(1: 8\)
- B \(1: 2\)
- C \(4: 1\)
- D \(8: 1\)
Answer & Solution
Correct Answer
(D) \(8: 1\)
Step-by-step Solution
Detailed explanation
\(\lambda= \frac{\mathrm{h}}{\mathrm{p}}=\frac{\mathrm{h}}{\mathrm{mv}} \Rightarrow \mathrm{v}=\frac{\mathrm{h}}{\mathrm{m} \lambda}\)…
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