An electron microscope gives higher magnification than an optical microscope, because :

It uses more powerful lenses
The velocity of electron is smaller than that of visible light
The electrons have more energy than the light particles
The wavelength of electrons is smaller as compared to the wavelength of visible light
The wavelength of electrons is smaller as compared to the wavelength of visible light  An electron microscope gives higher magnification than an optical microscope because the wavelength of electrons is smaller than wavelength of visible light. Hence, making electron microscope to resolve objects that are very small more clearly.

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