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

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 isNEET 2025

TestHub · Accepted Answer

​ P = a 3 b 2 c − 1 d − 1/2 ( P Δ P ​ × 100 ) = ( a 3Δ a ​ + b 2Δ b ​ + c 1Δ c ​ + 2 1 ​ d 3Δ d ​ ) × 100 = 3 ( 1% ) + 2 ( 3% ) + 1 ( 2% ) + 2 1 ​ ( 4% ) = 13% ​

Physics - Unit & Dimension Question with Solution | TestHub

Options:

Doubts & Discussion