A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm as shown in the diagram. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?

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Solution

Length of the bacteria:
Given Information:
Enlargement 50,000 1 20,000
Length(cm) 5cm x y
Since the length of bacteria is directly proportional to the number of times the photograph is enlarged,
The actual length is 10^-4 cm
And, 5/50000 = x/20000
x = 2 cm
Final answer: The actual length of the bacteria is 2cm.

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