If all the particles have same kinetic energy, The relation between the wavelengths of alpha particle, electron and proton is:
λρ > λα > λe
λe > λρ > λα
λα > λe > λρ
λα > λρ > λe
The Correct Option is B
Solution and Explanation
For a given kinetic energy K, the de Broglie wavelength linked to a particle displays an inverse relationship with the square root of its mass. Comparing a proton (1H), which is 1836 times more massive than an electron, and an alpha particle (4He), which is four times heavier than a proton, it becomes evident that the alpha particle possesses the shortest de Broglie wavelength due to its relatively larger mass.
∴ μe < mρ < mα
∴ λe > λρ > λα
The correct option is (B): λe > λρ > λα
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