A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. 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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,2cm

1.001 cm, 7cm

2.001 cm,3cm

000.2 cm, 9cm

answer is A.

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Detailed Solution

Concept- It is stated in this question that a bacterial image magnified 50,000 times measures 5 cm in length. If the bacterium is enlarged 20,000 times, we must determine both the original length of the bacteria and the increased length. So, in order to obtain the answer, we must apply a unitary technique, from which we can determine the length of the bacterium when it has grown one time. This means that growing one time is comparable to the length of the bacteria as it is today.
A photograph is magnified 50,000 times to reach a length of 5 cm.
∴A photograph that has been magnified once reaches the length

Therefore, the actual length is

Now, if it were to be 20,000 times larger, the length would be

Hence, the correct option is 1) 2cm.

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