To determine the size range of a typical eukaryotic cell, we need to understand the standard measurements associated with these cells. A eukaryotic cell typically contains a nucleus and other membrane-bound organelles, and they are significantly larger than prokaryotic cells.
Let's consider the options:
a. [tex]$\mathbf{10-100\ nm}$[/tex]: This range is in nanometers (nm), which is too small for a typical eukaryotic cell. Eukaryotic cells are much larger.
b. [tex]$\mathbf{1-10\ \mu m}$[/tex]: This range is in micrometers (μm). While some smaller eukaryotic cells could fall near the lower end of this spectrum, it's generally more reflective of the size range of prokaryotic cells, such as bacteria.
c. [tex]$\mathbf{10-300\ nm}$[/tex]: This also uses nanometers (nm) and would apply to the size range of viruses, which are smaller than eukaryotic cells.
d. [tex]$\mathbf{10-100\ \mu m}$[/tex]: This is a range in micrometers (μm), which correctly represents the size of typical eukaryotic cells. Eukaryotic cells, such as those in plants and animals, generally fall within this size range.
Given the options, the size range that accurately represents typical eukaryotic cells is:
d. [tex]$10-100 \ \mu m$[/tex]
Therefore, the correct answer is option d.