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JEE Mains · Physics · STD 12 - 11. Dual nature of radiation and matter
An electron with speed \(v\) and a photon with speed \(c\) have the same \(de-Broglie\) wavelength. If the kinetic energy and momentum of electron are \(E_{ e }\) and \(pe _{ e }\) and that of photon are \(E _{ ph }\) and \(p _{ ph }\) respectively. Which of the following is correct?
- A \(\frac{E_{e}}{E_{p h}}=\frac{2 c}{v}\)
- B \(\frac{E_{e}}{E_{p h}}=\frac{v}{2 c}\)
- C \(\frac{p_{e}}{p_{p h}}=\frac{2 c}{v}\)
- D \(\frac{ p _{ e }}{ p _{ ph }}=\frac{ v }{2 c }\)
Answer & Solution
Correct Answer
(B) \(\frac{E_{e}}{E_{p h}}=\frac{v}{2 c}\)
Step-by-step Solution
Detailed explanation
\(\lambda_{ e }=\lambda_{\text {photon }}\) \(\frac{ h }{ mv }=\frac{ h }{ P _{\text {photon}}} \Rightarrow P _{\text {photon }}= mv\)…
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