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STATEMENT-1 Number of significant figure...

STATEMENT-1 Number of significant figures in 0.007 s one and that in 0.700 is true
STATEMENT 2 : All zeros in a number are not significant
STATEMENT 3: Length of a rod is measured 100 m .Number significant figures in this measurement 1

A

TFT

B

FFT

C

TFF

D

FTT

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements regarding significant figures, we will evaluate each statement one by one. ### Step 1: Evaluate Statement 1 **Statement 1:** The number of significant figures in 0.007 s is 1, and that in 0.700 is 3. - **Analysis of 0.007 s:** - The leading zeros (0.00) are not counted as significant figures. - The only significant figure is the '7'. - Therefore, 0.007 has **1 significant figure**. - **Analysis of 0.700:** - The '7' is a significant figure. - The two trailing zeros after the decimal point (00) are also significant because they indicate precision. - Therefore, 0.700 has **3 significant figures**. **Conclusion for Statement 1:** This statement is **true**. ### Step 2: Evaluate Statement 2 **Statement 2:** All zeros in a number are not significant. - **Analysis:** - This statement is misleading. While leading zeros (those before the first non-zero digit) are not significant, trailing zeros (those after the decimal point and after a non-zero digit) are significant. - For example, in the number 0.700, the zeros are significant. **Conclusion for Statement 2:** This statement is **false**. ### Step 3: Evaluate Statement 3 **Statement 3:** The length of a rod is measured as 100 m. The number of significant figures in this measurement is 1. - **Analysis:** - The number 100 can be ambiguous regarding significant figures. However, if it is written as 100 m without a decimal point, it typically indicates that it has 1 significant figure. - However, in scientific contexts, if the measurement is precise, it is often interpreted as having 3 significant figures (1, 0, and 0). **Conclusion for Statement 3:** This statement is **false**. ### Final Summary of Statements - **Statement 1:** True - **Statement 2:** False - **Statement 3:** False
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