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Assertion : The speedometer of an auto...

Assertion : The speedometer of an automobile measure the average speed of the automobile.
Reason : Average velocity is equal to total displacement per total time taken.

A

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

B

B. If both assertion and reason are true but reason is not the correct explanations of assertion.

C

C. If assertion is true but reason is false.

D

D. If assertion is false and reason is true

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states: "The speedometer of an automobile measures the average speed of the automobile." - A speedometer is a device found in vehicles that indicates the speed of the vehicle at any given moment. - It measures the instantaneous speed, which is the speed of the vehicle at a specific point in time, rather than the average speed over a period of time. **Conclusion for Step 1:** The assertion is **false** because the speedometer measures instantaneous speed, not average speed. ### Step 2: Analyze the Reason The reason states: "Average velocity is equal to total displacement per total time taken." - Average velocity is defined as the total displacement divided by the total time taken for that displacement. - This statement is indeed correct as it follows the definition of average velocity. **Conclusion for Step 2:** The reason is **true** because it accurately describes the relationship between average velocity, displacement, and time. ### Step 3: Combine the Conclusions From the analysis: - The assertion is false. - The reason is true. Thus, we can conclude that the correct answer to the question is that the assertion is false while the reason is true. ### Final Answer The correct option is D: The assertion is false, but the reason is true. ---
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