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STATEMENT 1 meter of a cylinder measured...

STATEMENT 1 meter of a cylinder measured using a Vernier caliper is more accurate than that measure using a meter scale
STATEMENT-2 Least count of vernier calliper is in ser than least count of a meter scale.

A

Statement-1 is True , Statement-2 is True ,Statement-2 is a correct explanation for Statement-1

B

Statement-1 is True , Statement-2 is True ,Statement-2 is NOT a correct explanation for Statement-1

C

Statement-1 is True , Statement-2 is False

D

Statement-1 is False, Statement-2 is True

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given statements and arrive at a conclusion, we can break down the problem into a series of steps: ### Step 1: Understand the Statements - **Statement 1**: "1 meter of a cylinder measured using a Vernier caliper is more accurate than that measured using a meter scale." - **Statement 2**: "The least count of a Vernier caliper is less than the least count of a meter scale." ### Step 2: Define Least Count - The **least count** of an instrument is the smallest measurement that can be accurately read with that instrument. It indicates the precision of the measuring tool. ### Step 3: Compare the Least Counts - The least count of a Vernier caliper is typically **0.1 mm** (or 0.01 cm). - The least count of a standard meter scale is typically **1 mm** (or 0.1 cm). ### Step 4: Analyze Statement 1 - Since the Vernier caliper has a smaller least count (0.1 mm) compared to the meter scale (1 mm), it can measure lengths more precisely. Therefore, measuring 1 meter of a cylinder with a Vernier caliper is indeed more accurate than using a meter scale. ### Step 5: Analyze Statement 2 - Statement 2 claims that the least count of the Vernier caliper is less than that of the meter scale. This is true, as established in Step 3. ### Step 6: Conclusion - Both statements are true. Statement 2 correctly explains why Statement 1 is true. Hence, we can conclude that both statements are true and that Statement 2 is a correct explanation of Statement 1. ### Final Answer Both Statement 1 and Statement 2 are true, and Statement 2 is a correct explanation of Statement 1.
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