Explain and distinguish between the terms magnification and resolution?

Hope this helps:

By using more lenses microscopes can magnify by a larger amount, but this doesn't always mean that more detail can be seen. The amount of detail depends on the resolving power of a microscope, which is the smallest separation at which two separate objects can be distinguished (or resolved).

The resolving power of a microscope is ultimately limited by the wavelength of light (400-600nm for visible light). To improve the resolving power a shorter wavelength of light is needed, and sometimes microscopes have blue filters for this purpose (because blue has the shortest wavelength of visible light).  

Magnification is how much bigger a sample appears to be under the microscope than it is in real life.
                                  Overall magnification = Objective lens x Eyepiece lens
 

Resolution is the ability to distinguish between two points on an image i.e. the amount of detail
The resolution of an image is limited by the wavelength of radiation used to view the sample.
This is because when objects in the specimen are much smaller than the wavelength of the radiation being used, they do not interrupt the waves, and so are not detected.
The wavelength of light is much larger than the wavelength of electrons, so the resolution of the light microscope is a lot lower.  
Using a microscope with a more powerful magnification will not increase this resolution any further. It will increase the size of the image, but objects closer than 200nm will still only be seen as one point.