Question

what is the primary reason that electron microscopes have a higher resolving power than light microscopes?
the beam of electrons has a shorter wavelength than the beam of light photons.
the vacuum environment required for electron microscopes eliminates distortion from the air.
they can achieve much higher magnification, and higher magnification always means higher resolution.
they use electromagnets which are inherently more powerful than the glass lenses used in light microscopes

Explanation:

The resolving power of a microscope is related to the wavelength of the radiation it uses. According to the Rayleigh criterion, the resolving power \( R = \frac{0.61\lambda}{n\sin\theta} \) (where \( \lambda \) is the wavelength of the radiation, \( n \) is the refractive index of the medium, and \( \theta \) is the half - angle of the cone of light). A shorter wavelength \( \lambda \) leads to a higher resolving power. Electrons in an electron microscope have a much shorter wavelength compared to light photons in a light microscope.
The vacuum environment (second option) is mainly for the proper functioning of the electron beam (to prevent electron scattering by air molecules), not the primary reason for higher resolving power. Higher magnification (third option) does not always mean higher resolution (magnification can make an image larger but not necessarily clearer if the resolving power is low). The power of electromagnets (fourth option) is related to focusing the electron beam, not the fundamental reason for higher resolving power.

Answer:

The beam of electrons has a shorter wavelength than the beam of light photons.