Assertion:The precision of a measurement depends on the least count of measuring instruments. Reason:The smaller the least count greater is the number of significant figures in measurement value. (A) Both assertion and reason are correct and the reason is the correct explanation for the assertion. (B) Both assertion and reason are correct but the reason is not the correct explanation for the assertion.(C) assertion is correct but reason is incorrect.(D) Both assertion and reason are incorrect.

The correct answer is: (A) Both assertion and reason are correct and the reason is the correct explanation for the assertion.

Explanation:

Assertion: The precision of a measurement depends on the least count of measuring instruments.
Reason: The smaller the least count, the greater is the number of significant figures in the measurement value.
Both the assertion and reason are correct. The precision of a measurement refers to the level of detail or accuracy with which a quantity is measured. The least count of a measuring instrument is the smallest value that can be measured with that instrument. It represents the resolution of the instrument.

The reason provided explains why the assertion is correct. When the least count of a measuring instrument is smaller, it means the instrument can measure finer increments, allowing for more precise measurements. As a result, the number of significant figures in the measurement value increases, providing more information about the measured quantity and indicating a higher level of precision.