# 5.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?

Original length of bacteria=$$\frac{5}{50,000}cm$$
$$=\frac{1}{10,000}=10^{-4}cm$$

Given:Enlargement of 50,000times attains a length of 5 cm.Similarly for enlargement of 20,000 times let the length attained be x

Since, the two quantities are directly proportional so we have

$$\frac{50,000}5=\frac{20,000}{x}$$

$$\Rightarrow 50,000\times x=5\times 20,000$$

$$\Rightarrow x=\frac{5\times 20,000}{50,000}$$

$$\Rightarrow x=2cm$$
So, the required length is 2cm