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The base quantity among the following is...

The base quantity among the following is

A

Speed

B

Weight

C

Length

D

Area

Text Solution

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The correct Answer is:
To determine the base quantity among the given options, we will analyze each option in relation to fundamental quantities. ### Step-by-Step Solution: 1. **Identify the Options**: The options given are speed, weight, length, and area. 2. **Understand Base (Fundamental) Quantities**: Base quantities, also known as fundamental quantities, are the basic physical quantities that cannot be derived from other quantities. The seven fundamental quantities are: - Length (meter) - Mass (kilogram) - Time (second) - Temperature (kelvin) - Electric current (ampere) - Luminous intensity (candela) - Amount of substance (mole) 3. **Analyze Each Option**: - **Speed**: This is a derived quantity calculated as distance (length) divided by time. Therefore, it is not a base quantity. - **Weight**: This is the force due to gravity acting on a mass. It is also a derived quantity since it depends on mass and gravitational acceleration (Weight = Mass × Gravity). Hence, it is not a base quantity. - **Length**: This is one of the seven fundamental quantities. It is a base quantity. - **Area**: This is derived from length (Area = Length × Length). Thus, it is not a base quantity. 4. **Conclusion**: Among the options provided, the only base quantity is **length**. ### Final Answer: The base quantity among the following is **length**.
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