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Which of the following following is smal...

Which of the following following is smallest unit?

A

Millimeter

B

Angstrom

C

Fermi

D

Metre

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given units is the smallest, we need to convert all the units into the same base unit, which in this case will be meters (m). ### Step-by-Step Solution: 1. **Identify the Units**: The units we need to compare are millimeters (mm), micrometers (μm), and Fermis (fm). 2. **Convert Each Unit to Meters**: - **Millimeter (mm)**: \[ 1 \text{ mm} = 10^{-3} \text{ m} \] - **Micrometer (μm)**: \[ 1 \text{ μm} = 10^{-6} \text{ m} \] - **Fermi (fm)**: \[ 1 \text{ Fermi} = 10^{-15} \text{ m} \] 3. **Compare the Values**: Now we have the following conversions: - \(1 \text{ mm} = 10^{-3} \text{ m}\) - \(1 \text{ μm} = 10^{-6} \text{ m}\) - \(1 \text{ Fermi} = 10^{-15} \text{ m}\) 4. **Determine the Smallest Unit**: To find the smallest unit, we look at the powers of ten: - \(10^{-3}\) (mm) - \(10^{-6}\) (μm) - \(10^{-15}\) (fm) The smallest exponent (most negative) is \(-15\), which corresponds to the Fermi. 5. **Conclusion**: Therefore, the smallest unit among the given options is: \[ \text{1 Fermi} \] ### Final Answer: The smallest unit is **1 Fermi**.

To determine which of the given units is the smallest, we need to convert all the units into the same base unit, which in this case will be meters (m). ### Step-by-Step Solution: 1. **Identify the Units**: The units we need to compare are millimeters (mm), micrometers (μm), and Fermis (fm). 2. **Convert Each Unit to Meters**: - **Millimeter (mm)**: ...
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    D
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