A physical quantity X is given by X= 2 k^3 l^2 m n The percentage error in the measurements of k , l, m and n are 1 %, 2 %, 3 % and 4 % respectively. The value of X is uncertain by

Step-by-step solution

aligned & : Given : X= 2 k^3 l^2 m n & X X =3 k k +2 l l + m m + 1 2 n n aligned Percentage error in X aligned X X & 100= (3 k k +2 l l + m m + 1 2 n n ) 100 & =3 1 %+2 2 %+3 %+ 1 2 4 % & =3 %+4 %+3 %+2 %=12 % aligned Hence, the value of X is uncertain by 12 % .