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Question
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?
Solution
Let the photograph of the bacteria be magnified 20,000 times, then the magnified length = x, ratio of the both
The given information, in the form of a table, is as follows:
Therefore, we obtain
Then 550000 = `x/(20,000)`
on multiplying thunderbolts
| Length of bacteria (in cm) | 5 | x |
| Bacteria enlarged | 50,000 | 20,000 |
50000 × x = 20000 × 5
`x = (20,000 × 5)/(50,000)`
x = 2
Hence, magnified length of bacteria = 2 cm
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