Assertion and Reason: Fundamental Quantities – Rankers Physics

Dimensions: Practice Problem & Solution

Assertion: Mass, length and time may be taken as fundamental quantities. Reason: Mass, length and time are independent of one another.  
Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
Both Assertion and Reason are true but Reason is not correct explanation of Assertion.
Assertion is true but Reason is false.
Assertion and Reason are false.

Solution Explained:

To solve this problem, we apply the core principles of Dimensions. Understanding the underlying formula is key to arriving at the correct answer below:

Mass, length, and time are chosen as fundamental quantities because they cannot be defined in terms of each other and are completely independent.

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Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. Which pair have not equal dimensions? [2000]
2. The density of a cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and lengths are 3% and 2% respectively, the maximum error in the measurement of density would be: [1996]
3. Assertion (A): If a physical quantity has a unit it must have dimension. Reason (R): There may exist a physical quantity which has dimension but no unit.  
4. If energy \((E)\), velocity \((V)\) and time \((T)\) are chosen as fundamental quantities the dimensional formula for momentum \((P)\) is:
5. The dimensional formula for impulse is