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microscopes are more powerful than light or optical microscopes because
they move faster than light
they have longer wavelengths than light
they have shorter wavelengths than light
The resolving power of a microscope depends on the wavelength of the radiation used to illuminate samples; shorter wavelengths allow for higher resolution and greater power to see smaller structures. Electrons exhibit wave-particle duality, and their wavelengths are much shorter than visible light when accelerated to high energies, which is why electron microscopes are more powerful than optical ones.
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electrons have shorter wavelengths than light