Error Analysis: Practice Problem & Solution

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The absolute error has the same unit as the quantity itself. Reason (R): Fractional error has no unit. In the light of above statements, choose the correct answer from the options given below.

Both (A) and (R) are true and (R) is the correct explanation of (A)

Both (A) and (R) are true but (R) is not the correct explanation of (A)

(A) is true but (R) is false

Both (A) and (R) are false

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Error Analysis. Understanding the underlying formula is key to arriving at the correct answer below:

Absolute error \(\Delta x\) has the same unit as the physical quantity. Fractional error is the ratio \(\Delta x / x\) and is dimensionless (no unit). Both statements are true, but the lack of unit in fractional error does not explain why absolute error has a unit.

Error Analysis: Practice Problem & Solution

Short Solution (Best for NEET):

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