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A bacteria enlarged 50,000 times and attains a length of 5cm. What is the actual length of the bacteria?

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1000 cm

10 − 3 cm

10 − 4 cm

10 − 2 cm

answer is C.

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Detailed Solution

Given that, magnified length is 5 cm when enlarged 50000 times.
Let us assume the actual length of bacteria be x.
The actual length = x cm.
Since bacteria is enlarged 50,000 times to attain a length of 5 cm, therefore we have,

50, 000 × x = 5

The value of x,

x = 5 50, 000

cm.

x = 1104

cm.

x = 1 × 10 − 4

cm.

∴

Hence, actual length of bacteria is

10 − 4

cm.
Therefore, option 3 is correct.

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