The correct answer is: A. The wavelength of the electrons must be close to the diameter of the object.
The wavelength of the electrons must be close to the diameter of the object in order to resolve the object. This is because the resolution of an electron microscope is determined by the wavelength of the electrons. The shorter the wavelength, the better the resolution.
Option B is incorrect because the wavelength of the electrons must be close to the diameter of the object, not greater than the diameter of the object.
Option C is incorrect because only option A is correct.
Option D is incorrect because option A is correct.