electrons, like all other matter, exhibit the dual behavior of both particles and waves. since electrons travel like waves, their energy is restricted to certain energy , each of which is associated with a specific wavelength



Answer :

Electrons, like all other matter, exhibit the dual behavior of both particles and waves. Since electrons travel like waves, their energy is restricted to a certain energy level, each of which is associated with a specific wavelength.

Wave-particle Duality:

Wave-particle duality is the idea that matter and energy have characteristics that are typical of both waves and particles. Depending on the circumstances, the matter may be seen as a wave or a particle.

Objects with huge masses, like baseball, have such small wavelengths that they are best regarded as particles. On the other hand,  objects with small masses, like photons, have huge wavelengths and are best regarded as waves. However, objects with intermediate masses, like electrons, have characteristics of both particles and waves.

As a result, in 1924 de Broglie hypothesized that a particle like an electron may be characterized by a wave. Since electrons are waves, their energy is limited to specific energy levels, each of which corresponds to a given wavelength which is given by

[tex]\lambda =\dfrac{h}{mv}[/tex]

Where h Planck’s constant,

m  ⇒ mass of the particle

v  ⇒ velocity of the particle

Read more about Wave-particle Duality:

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Fill in the blank:

Electrons, like all other matter, exhibit the dual behavior of both         and                     Since electrons travel like waves, their energy is restricted to a certain energy        , each of which is associated with a specific wavelength.