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Q19 (CAPF/2020) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Atomic and nuclear physics Answer Verified

An electron and a photon have same de Broglie wavelength. It implies that they have the same

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Your answer: —  Â·  Correct: A
Explanation

The de Broglie hypothesis postulates that every moving particle has an associated wave nature. The relationship between the de Broglie wavelength (λ) and the linear momentum (p) of a particle is given by the equation λ = h/p, where h is Planck's constant. This fundamental relation applies to both material particles like electrons and massless particles like photons. According to this formula, the momentum p is inversely proportional to the wavelength (p = h/λ). Therefore, if an electron and a photon possess the same de Broglie wavelength, they must necessarily have the same linear momentum. Their energies differ because the energy-momentum relationship for a photon is E = pc, whereas for a non-relativistic electron, it is E = p²/(2m). Similarly, their speeds differ as photons always travel at the speed of light, while an electron's speed depends on its mass and momentum.

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