Question

If the formula for a physical quantity is X=a^4×b^3/c^1/3×d^1/2 and if the percentage error in the measurement of a,b,c and d are 2%,3%,3%and 4% respectively calculate percentage error in X

Answer 1

Answer:

percentage error in x is 20%

Explanation:

X=a^4 b^3/ c^1/3 d ^1/2

dX/X x 100= 4 x da/a x 100 + 3 x db/b x 100 + 1/3 x dc/c x 100 + 1/2 dD/D x 100

dX/X x 100 = 4 x 2+ 3 x 3 + 1/3 x 3 +1/2 x 2  (since given in the question)

dX/X x 100 = 8+9+1+2= 20%