Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Units and Measurements

Question:

Read the two statements carefully to mark the correct option out of the options given below:

Statement - 1 Number of significant figures in 0.005 is one and that in 0.500 is three.
Statement - 2 This is because zeros are not significant.

Options:

Statement - 1 is true, Statement - 2 is true; Statement - 2 is correct explanation for Statement - 1.

Statement -1 is true, Statement - 2 is true; Statement - 2 is not correct explanation for Statement - 1.

Statement - 1 is true, Statement - 2 is false.

Statement - 1 is false, Statement - 2 is true

Correct Answer:

Statement - 1 is true, Statement - 2 is false.

Explanation:

The correct answer is Option (3) → Statement - 1 is true, Statement - 2 is false.

Statement 1 correctly identifies the number of significant figures in two given numbers:

In 0.005, there is only one non-zero digit (5), so there is only one significant figure.

In 0.500, there are three non-zero digits (5, 0, and 0), so there are three significant figures.

This part of the statement is correct and accurately describes the significant figures in the given numbers.

However, Statement 2 claims that zeros are not significant, which is incorrect. In the context of significant figures, zeros can indeed be significant, depending on their placement in the number.

In both 0.005 and 0.500:

The zero in 0.005 is between two significant digits (5 and 5), indicating precision to the thousandth place. Therefore, it is significant.

The zero in 0.500 is at the end of the number, following a decimal point and significant digits (5 and 0). It indicates precision to the hundredth place and is therefore significant.

In summary, Statement 2 incorrectly asserts that zeros are not significant, whereas in reality, they can be significant depending on their position in the number. Therefore, Statement 2 is false.

Thus, the correct interpretation is that Statement 1 is true (correctly identifying the number of significant figures), but Statement 2 is false (due to its incorrect claim about the significance of zeros).