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If the size of a bacteria is 1mu, then h...

If the size of a bacteria is `1mu`, then how many bacteria will be there in a length of 1 m?

A

`10^(3)`

B

`10^(-3)`

C

`10^(-6)`

D

`10^(6)`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of how many bacteria of size 1 micrometer can fit in a length of 1 meter, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Size of Bacteria**: The size of one bacterium is given as 1 micrometer (µm). We need to convert this measurement into meters for consistency with the length we are considering (1 meter). \[ 1 \text{ micrometer} = 1 \times 10^{-6} \text{ meters} \] 2. **Determine the Length in Meters**: We are considering a total length of 1 meter. 3. **Calculate the Number of Bacteria**: To find out how many bacteria can fit into 1 meter, we divide the total length (1 meter) by the size of one bacterium (in meters). \[ \text{Number of bacteria} = \frac{\text{Total Length}}{\text{Size of one bacterium}} = \frac{1 \text{ meter}}{1 \times 10^{-6} \text{ meters}} \] 4. **Perform the Calculation**: Now, we perform the division: \[ \text{Number of bacteria} = \frac{1}{1 \times 10^{-6}} = 1 \times 10^{6} \] 5. **Conclusion**: Therefore, the number of bacteria that can fit in a length of 1 meter is: \[ \text{Number of bacteria} = 10^{6} \] ### Final Answer: The number of bacteria that can fit in a length of 1 meter is \( 10^6 \). ---

To solve the problem of how many bacteria of size 1 micrometer can fit in a length of 1 meter, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Size of Bacteria**: The size of one bacterium is given as 1 micrometer (µm). We need to convert this measurement into meters for consistency with the length we are considering (1 meter). \[ 1 \text{ micrometer} = 1 \times 10^{-6} \text{ meters} ...
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