54.3k views
2 votes
Erin, Becky, and Stephanie are looking at a cell under a microscope through the 4X objective lens. Erin states that she is seeing a cell that is four times larger than the actual cell. Becky states that the image is 40 times larger than the real cell. Stephanie thinks that the image is 400 times larger than the real cell. With which person do you agree?

User Baldrick
by
7.3k points

1 Answer

4 votes

Final answer:

Becky's statement that the cells appear 40 times larger under a 4X objective lens is correct. The total magnification is calculated by multiplying the magnification of the objective lens by the magnification of the ocular lens, which is typically 10X, leading to a 40X total magnification.

Step-by-step explanation:

Among Erin, Becky, and Stephanie, the correct answer would be with Becky.

When looking through a microscope with a 4X objective lens, the size of the image is not simply 4 times larger.

To determine the total magnification, you have to multiply the magnification power of the objective lens by that of the ocular lens, which is typically 10X.

Therefore, a 4X objective lens multiplied by a 10X ocular lens equals 40X total magnification.

As stated in the light microscopy section, the ocular lens further magnifies the real image by an additional factor of 10, resulting in a magnification that is vastly larger than the object itself.

For example, examining Bacillus cereus cells, which are about 4 µm long, under a microscope using a high power lens would make them appear much larger.

Assuming we use a common 40X high power objective plus the 10X ocular lens, the cells would appear to be 40 * 10 = 400 times larger, which is exactly the light microscope's capacity, as previously indicated.

Therefore, if the students were using the 4X objective lens specifically, the cells would appear to be 4 * 10 = 40 times larger than their actual size.

User Maurdekye
by
7.7k points