JEE Mains · Physics · STD 12 - 11. Dual nature of radiation and matter
An electron moving with speed \(v\) and a photon moving with speed \(c,\) have same D-Broglie wavelength. The ratio of kinetic energy of electron to that of photon is -
- A \(\frac{3 {c}}{{v}}\)
- B \(\frac{2 c}{v}\)
- C \(\frac{v}{2 c}\)
- D \(\frac{v}{3 c}\)
Answer & Solution
Correct Answer
(C) \(\frac{v}{2 c}\)
Step-by-step Solution
Detailed explanation
\(\lambda_{ e }=\lambda_{ Ph }\) \(\frac{ h }{ p _{ e }}=\frac{ h }{ p _{ ph }}\) \(\sqrt{2 mk _{ e }}=\frac{ E _{ ph }}{ c }\) \(2 mk _{ e }=\frac{\left( E _{ ph }\right)^{2}}{ c ^{2}}\) \(\frac{ k _{ e }}{ E _{ ph }}=\frac{ E _{ ph }}{ c ^{2}}\left(\frac{1}{2 m }\right)\)…
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