Physics Units, Dimensions and Measurement JEE Main 2025 - ( Units and Dimensions ) MCQ (Single Correct)

A quantity Q is formulated as . X , Y , and Z are independent parameters which have fractional errors of , and 0.5 , respectively in measurement. The maximum fractional error of is

A
0.6
B
0.8
C
0.7
D
0.1

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The correct answer is:
C

The quantity is expressed as . The variables , and are independent parameters with fractional errors of , and 0.5, respectively. To determine the maximum fractional error in , we can use the following method:

Fractional error in
Substituting the fractional errors into the equation:

Calculating each term gives:

Summing these values results in:

Thus, the maximum fractional error in is 0.7.

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