In an experiment, the percentage of error occurred in the in the measurement of physical quantities A,B,C and D are 1%, 2%,3% and 4% respectively. Then the maximum percentage of error in the measurement X, where X=(A^(2)B^(1//2))/(C^(1//3)D^(3)), will be

In an experiment, the percentage of error occurred in the in the measu

1.	In an experiment, the percentage of error occurred in the in the measurement of physical quantities A,B,C and D are 1%, 2%,3% and 4% respectively. Then the maximum percentage of error in the measurement X, where X=(A^(2)B^(1//2))/(C^(1//3)D^(3)), will be
Answer» `10%` `((3)/(13))%` `16%` `-10%` SOLUTION :`X= (A^(2)B^(1//2))/(C^(1//3)D^(3))` Maximum percentage ERROR in X `((dX)/(X)) xx 100= (2(dA)/(A)+ (1)/(2)(dB)/(B)+ (1)/(3)(dC)/(C)+ 3(DD)/(D)) xx 100= 2 xx 1+ (1)/(2)xx2 + (1)/(3) xx 3+ 3 xx 4= 16%`