de Broglie wavelength
Radiolarian is a protozoa viewed under light microscope and electron microscope.
The high-speed electrons have wavelengths much smaller than the wavelength of the visible light,
hence the resolution of the image is more in case of electron microscope.
De Broglie's explanation of Bohr's second postulate of quantisation
Light is a form of energy which sometimes behaves as waves and sometimes as particles(photons). Matter also can behave both like particles as well as waves. A wave is specified by the quantities like frequency , wavelength λ, amplitude and intensity. A particle is specified by its mass m, velocity v, momentum p and energy E.
The concepts like interference, diffraction and polarization tell us that light is a wave. Experiments like photo–electric effect, Compton effect, black-body radiations, X–ray spectra shows light in its particle nature. Louis de Broglie (1892–1987), a French physicist was the first to draw attention to this possibility.
More specifically, he said that if a particle of mass m, moves with a velocity v then it behaves like a wave having a wavelength λ given by λ =h/(mv). He received a Nobel prize in 1928. Such a matter wave is sometimes referred to as de Broglie wave, and λ as the de Broglie wavelength. The wave associated with a moving particle is called matter wave or de Broglie wave and controls the particle in every respect.
The intensity of a matter wave at a point represents the probability of the associated particle (e.g. electron) being there. Therefore, if the intensity of matter wave is large in a certain region, there is a greater probability of the particle being found there.