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STATEMENT-1 The mass of an object is 132...

STATEMENT-1 The mass of an object is 132 kg. The number of significant figures in this measurement is 3
STATEMENT 2 The same mass when expressed in grams as 132000 g has six significant figures

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 regarding significant figures, we will evaluate each statement step by step. ### Step 1: Evaluate Statement 1 - **Statement 1**: The mass of an object is 132 kg. The number of significant figures in this measurement is 3. - **Analysis**: - The number 132 has three digits: 1, 3, and 2. - All non-zero digits are considered significant. - Therefore, the number of significant figures in 132 kg is indeed 3. **Conclusion for Statement 1**: True ### Step 2: Evaluate Statement 2 - **Statement 2**: The same mass when expressed in grams as 132000 g has six significant figures. - **Analysis**: - The number 132000 has the digits 1, 3, 2, and four zeros. - In significant figures, trailing zeros in a number without a decimal point are not considered significant. - Therefore, the zeros in 132000 are not counted as significant figures unless specified (e.g., if written as 132000. or in scientific notation). - Thus, the number 132000 g has only 3 significant figures (1, 3, and 2). **Conclusion for Statement 2**: False ### Final Conclusion - **Statement 1** is true, and **Statement 2** is false. Therefore, the correct option is that Statement 1 is true, and Statement 2 is not true.
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