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A : In a measurement, two readings obtai...

A : In a measurement, two readings obtained are 20.004 and 20.0004. The second measurement is more precise.
R : Measurement having more decimal places is more precise.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).

C

If Assertion is true statement but Reason is false, then mark (3).

D

If both Assertion and Reason are false statements, then mark (4).

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion (A) and the reason (R) provided. ### Step 1: Understand the Assertion The assertion states that the second measurement (20.0004) is more precise than the first measurement (20.004). ### Step 2: Analyze the Measurements - First measurement: 20.004 - Second measurement: 20.0004 ### Step 3: Count the Decimal Places - The first measurement (20.004) has 3 decimal places. - The second measurement (20.0004) has 4 decimal places. ### Step 4: Determine Precision Precision in measurements is often indicated by the number of decimal places. The more decimal places a measurement has, the more precise it is considered. ### Step 5: Compare the Precision Since the second measurement (20.0004) has 4 decimal places, while the first measurement (20.004) has only 3 decimal places, the second measurement is indeed more precise. ### Step 6: Evaluate the Reason The reason states that a measurement having more decimal places is more precise. This statement is correct and supports the assertion. ### Conclusion Both the assertion (A) and the reason (R) are correct, and the reason is a valid explanation for the assertion. ### Final Answer - Assertion (A) is correct. - Reason (R) is correct and explains (A).
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