Question
A physical quantity P is related to four observations a, b, c and d as follows : P=a^3 b^2 / c d The percentage errors of measurement in a, b, c and d are 1 \%, 3 \%, 2 \% and 4 \% respectively. The percentage error in the quantity P is
NEET
Physics
Units and Dimensions
2025
NEET 2025
NEET Physics Question (2025) — Solution
Options
- A. 10 \%
- B. 2 \%
- C. 13 \%
- D. 15 \%
Answer
C. 13 \%
Step-by-step solution
aligned & P=a^3 b^2 c^ -1 d^ -1 / 2 \\ & ( P P 100 )= ( 3 a a + 2 b b + 1 c c + 1 2 3 d d ) 100 \\ & =3(1 \%)+2(3 \%)+1(2 \%)+ 1 2 (4 \%) \\ & =13 \% aligned
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