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JEE Main 2021 (25 Jul, Shift 2) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from JEE Main 2021 (25 Jul, Shift 2)

Q106JEE Main 2021 · 25 JUL · SHIFT 2Medium

Matter Waves: de Broglie Wavelength

An electron moving with speed v and a photon moving with speed c, have same de-Broglie wavelength. The ratio of kinetic energy of electron to that of photon is:

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Answer: (c)

Same $\lambda$ means same momentum $p$ .
Electron: $K = \frac{1}{2}pv$ . Photon: $E = pc$ .
$\dfrac{K}{E} = \dfrac{v}{2c}$
So the answer is (c) $\frac{v}{2c}$ .

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