NEET2025PhysicsUnits and DimensionsActual
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
Options
- A10 %
- B2 %
- C13 %
- D15 %
Correct 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