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Question 11: When a particle’s K.E increases, what happens to its de’ Broglie’s wavelength?


de’ Broglie’s wavelength associated with a moving particle like electron is given by

Put the value of linear momentum p from equation (2) in equation (1),

This means the de’ Broglie wavelength associated with the motion of a particle is inversely proportional to the square root of the kinetic energy of the particle. Therefore, if we increase the K.E of a particle, the de’ Broglie wavelength will decrease.


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