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JEE Mains · Physics · STD 12 - 11. Dual nature of radiation and matter
The de Broglie wavelength of a proton and \(\alpha\) -particle are equal. The ratio of their velocities is ...... .
- A \(4:3\)
- B \(4:1\)
- C \(4:2\)
- D \(1:4\)
Answer & Solution
Correct Answer
(B) \(4:1\)
Step-by-step Solution
Detailed explanation
\(\lambda=\frac{ h }{ mv }\) \(\lambda_{ P }=\lambda_{\alpha}\) \(m _{ P } v _{ P }= m _{\alpha} v _{\alpha}\) \(m _{ P } v _{ P }=4 m _{ p } v _{\alpha} \quad\left( m _{\alpha}=4 m _{ P }\right)\) \(\frac{ v _{ P }}{ v _{\alpha}}=4\)
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