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A photograph of a bacteria enlarged 70000 times attains a length of 7 cm. What is the actual length of the bacteria?
  • a)
    103cm
  • b)
    10 -3cm
  • c)
    10-2cm
  • d)
    10-4cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A photograph of a bacteria enlarged 70000 times attains a length of 7 ...
Here actual length of bacteria 
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A photograph of a bacteria enlarged 70000 times attains a length of 7 ...
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.
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