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Direct and Inverse Proportions | Exercise 13.1

Question 9

Q5) 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, want would be its enlarged length?

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Solution:

Let the actual length of bacteria be x cm and the enlarged length of bacteria be y cm if the photograph is enlarged for 20,000 times.

The given information in the form of a table is as follows.

The number of times the photograph of bacteria was enlarged and the length of bacteria are in direct proportion.

Therefore, we obtain

\frac{5}{50000}=\frac{x}{1}

\Rightarrow x=\frac{1}{10000}=_{10}-4

Hence, the actual length of bacteria is _{10}-4 cm.

Let the length of bacteria when the photograph of bacteria is enlarged 20,000 times be y.

\frac{5}{50000}=\frac{y}{20000}

y=\frac{20000\times5}{50000}=2

Hence, the enlarged length of bacteria is 2 cm.

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Our top 5% students will be awarded a special scholarship to Lido.

subject-cta

Question 9

Q5) 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, want would be its enlarged length?

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

Solution:

Let the actual length of bacteria be x cm and the enlarged length of bacteria be y cm if the photograph is enlarged for 20,000 times.

The given information in the form of a table is as follows.

The number of times the photograph of bacteria was enlarged and the length of bacteria are in direct proportion.

Therefore, we obtain

\frac{5}{50000}=\frac{x}{1}

\Rightarrow x=\frac{1}{10000}=_{10}-4

Hence, the actual length of bacteria is _{10}-4 cm.

Let the length of bacteria when the photograph of bacteria is enlarged 20,000 times be y.

\frac{5}{50000}=\frac{y}{20000}

y=\frac{20000\times5}{50000}=2

Hence, the enlarged length of bacteria is 2 cm.

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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