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  • 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?

Q5. 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?

 

Answers (1)

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We can calculate it easily,

Given that for 50,000 times enlarged, the photograph of a bacteria attains a length of 5cm.

So, we have to calculate the actual length of the bacteria(assume it to be 'x'cm) that is when the photograph is enlarged to 1 time

Knowing that the microscope's zoom has a direct relation with the length of bacteria observed So, we get the relation ;

 \frac{50,000}{1}=\frac{5cm}{x} 

Solving the equation for x we get;

x=\frac{5cm}{50,000}=1\times 10^{-4}cm

The actual length of the bacteria is 10^{-4}cm which is too small.

Now, calculating the length of bacteria when the photograph is enlarged 20,000 times,

assume it as 'y'.

So, we get this relation

 \frac{20,000}{50,000}=\frac{y}{5cm}

 solving for y we get; 

y=\frac{20,000\times 5cm}{50,000} = 2cm.

So, if the photograph is enlarged 20,000 times then the enlarged length would be 2cm.

 

Posted by

Divya Prakash Singh

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