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Assertion : S.I. units are logical and c...

Assertion : S.I. units are logical and coherent .
Reason : S.I. system of units is a rationalised system.

A

If both the assertion and reason are true and reason is correct explanation of the assertion .

B

If both the assertion and reason are true but reason is not a correct explanation of the assertion .

C

If the assertion is true but the reason is false.

D

If both assertion and reason are false.

Text Solution

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The correct Answer is:
To solve the question regarding the assertion and reason about S.I. units, we can break it down step by step. ### Step-by-Step Solution **Step 1: Understand the Assertion** - The assertion states that "S.I. units are logical and coherent." - Logical means that the units are based on clear and rational principles. - Coherent means that the units are interrelated in a way that allows for straightforward calculations without the need for additional conversion factors. **Step 2: Understand the Reason** - The reason states that "S.I. system of units is a rationalised system." - A rationalized system means that the units are defined in such a way that they are consistent and unified. For example, the unit of energy (Joule) is the same across different forms of energy (mechanical, thermal, etc.). **Step 3: Analyze Coherence in S.I. Units** - Coherence in S.I. units means that derived units can be expressed as products or quotients of base units without introducing numerical factors. - For example, the unit of force (Newton) is derived from mass (kilogram) and acceleration (meter per second squared) without needing any additional conversion factors. **Step 4: Analyze Rationalization in S.I. Units** - The S.I. system is rationalized as it provides a unified approach to measuring different forms of energy using the same unit (Joule), unlike other systems like CGS where different units are used for different types of energy. **Step 5: Conclusion** - Both the assertion and reason are correct statements. However, the reason does not directly explain the assertion about coherence. - Therefore, the final conclusion is that the assertion is true, the reason is true, but the reason is not the correct explanation of the assertion. ### Final Answer - Assertion: True - Reason: True - Conclusion: Reason is not the correct explanation of the assertion.

To solve the question regarding the assertion and reason about S.I. units, we can break it down step by step. ### Step-by-Step Solution **Step 1: Understand the Assertion** - The assertion states that "S.I. units are logical and coherent." - Logical means that the units are based on clear and rational principles. - Coherent means that the units are interrelated in a way that allows for straightforward calculations without the need for additional conversion factors. ...
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