JEE Mains · Physics · STD 12 - 11. Dual nature of radiation and matter
A proton and an electron are associated with same de-Broglie wavelength. The ratio of their kinetic energies is _______. (Assume \(\mathrm{h}=6.63 \times 10^{-34} \mathrm{~J} \mathrm{~s}, \mathrm{~m}_{\mathrm{e}}=9.0 \times 10^{-31} \mathrm{~kg}\) and \(\mathrm{m}_{\mathrm{p}}=1836\) times \(\mathrm{m}_{\mathrm{e}}\) )
- A \(1: 1836\)
- B \(1: \frac{1}{1836}\)
- C \(1: \frac{1}{\sqrt{1836}}\)
- D \(1: \sqrt{1836}\)
Answer & Solution
Correct Answer
(A) \(1: 1836\)
Step-by-step Solution
Detailed explanation
\(\lambda\) is same for both \(\mathrm{P}=\frac{\mathrm{h}}{\lambda}\) same for both \(\mathrm{P}=\sqrt{2 \mathrm{mK}}\) Hence, \(\mathrm{K} \propto \frac{1}{\mathrm{~m}}\)…
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