The Question is from NEET guide , and it was created by the author SUBHANI

Question

The mean time period of second’s pendulum is 2.00s and mean absolute error in the time period is 0.05s. To express maximum estimate of error, the time period should be written as

SUBHANI · Accepted Answer

## CORE INFORMATION
✓ **Answer**: C
## CONCEPT FRAMEWORK
	**Primary Concept**: Representation of measurement with absolute error
	**Related Topics**: Measurement uncertainty, Error in experiments
	**Prerequisites**: Understanding of mean absolute error
## SOLUTION PATHWAY
**Given Information**:
	Mean time period: 2.00 s
	Mean absolute error: 0.05 s

**Method & Steps**:
	1.  The standard way to express a measurement with its associated error is in the form (measured value ± absolute error).
		Reasoning: This format directly conveys both the best estimate of the measurement and the uncertainty associated with it.
		Formula/Rule: Measurement = (Measured value ± Absolute error)
	2. Applying the given values, the time period is (2.00 ± 0.05) s.
		Working: Direct substitution
		Key Point: The absolute error is given directly and should be added/subtracted from the mean value
	3. Final answer is (2.00 ± 0.05) s
		Result: This is the correct representation of the time period with error.
		Verification: The given absolute error is directly used without any further calculation.
 ## OPTION ANALYSIS
[A] :x: Incorrect absolute error value.
[B] :x: Incorrect absolute error value, and the use of '+' sign is inappropriate.
[C] ✓: Correctly expresses the mean time period with its absolute error.
[D] :x: Incorrect absolute error value.
 ## LEARNING AIDS
	**Common Mistakes**:
		1.[Error 1]: Incorrectly performing calculations on the error term. The error should not be manipulated unless there is a specific error propagation operation involved.
		2.[Error 2]: Confusing absolute error with other types of errors like percentage error.
	**Quick Tips**:
		1.[Helpful shortcut]: Remember the format: (measurement ± absolute error).
		2.[Memory aid]: The absolute error directly tells you the range of uncertainty around your measurement.

SUBHANI · Answer

$\left( {2.00 \pm 0.01} \right){\rm{\;}}s$

SUBHANI · Answer

$\left( {2.00 + 0.025} \right){\rm{\;}}s$

SUBHANI · Answer

The correct Option is "$\left( {2.00 \pm 0.05} \right)\;s$"

SUBHANI · Answer

$\left( {2.00 \pm 0.10} \right)\;s$

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