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STATEMENT-1: All instrumental errors are...

STATEMENT-1: All instrumental errors are random errors.
STATEMENT-2:Some of the readings taken using an instrument may be more and some of the readings may be lesser than the actual value of the physical quantity.

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 statements provided in the question, we will evaluate each statement separately and determine their validity. ### Step 1: Evaluate Statement 1 **Statement 1:** All instrumental errors are random errors. - **Analysis:** Instrumental errors can be categorized into two types: systematic errors and random errors. Systematic errors arise from flaws in the instrument's design or usage, while random errors occur due to unpredictable variations in measurements. Therefore, it is incorrect to say that all instrumental errors are random errors. - **Conclusion:** Statement 1 is **false**. ### Step 2: Evaluate Statement 2 **Statement 2:** Some of the readings taken using an instrument may be more and some of the readings may be lesser than the actual value of the physical quantity. - **Analysis:** This statement reflects the nature of measurement errors. When using an instrument, it is common for some readings to be above the actual value and others to be below it due to various factors such as random errors, calibration issues, or environmental influences. This variability is a normal occurrence in experimental measurements. - **Conclusion:** Statement 2 is **true**. ### Final Conclusion - **Statement 1:** False - **Statement 2:** True ### Answer Options Based on the evaluations: - Statement 1 is false. - Statement 2 is true. Thus, the correct option is that Statement 1 is false and Statement 2 is true. ---
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