To find the actual length of the bacteria, we can use the concept of magnification. Magnification is the ratio of the size of an object under a microscope to its actual size.
Given:
Enlargement: 70000 times
Length of the photograph: 7 cm
We need to find the actual length of the bacteria.
Let's solve this step by step:
Step 1: Calculate the magnification factor
Magnification = Enlarged size / Actual size
In this case,
Enlarged size = Length of the photograph = 7 cm
Actual size = ?
Magnification = 70000
So, 70000 = 7 / Actual size
Step 2: Cross-multiply and solve for Actual size
70000 * Actual size = 7
Actual size = 7 / 70000
Step 3: Simplify the fraction
Actual size = 1 / 10000
Therefore, the actual length of the bacteria is 10^-4 cm.
Hence, the correct answer is option D) 10^-4 cm.