An electron and a photon have same de Broglie wavelength. It implies t

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

[amp_mcq option1=”linear momentum” option2=”energy” option3=”speed” option4=”angular momentum” correct=”option1″]

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UPSC CAPF – 2020

If an electron and a photon have the same de Broglie wavelength (λ), it implies that they have the same linear momentum.

The de Broglie wavelength is given by the formula λ = h/p, where h is Planck’s constant and p is the linear momentum. If λ is the same and h is constant, then p must be the same.

While their momentum is the same, their energy and speed are generally different. For a photon, energy E = pc and speed is c. For an electron with mass m and speed v, momentum p = mv (non-relativistic) and kinetic energy KE = p^2/(2m). Same momentum p does not mean same energy or speed due to the difference in their mass and the relativistic nature of the photon.

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