Question

A physical quantity X is connected from X = ab2/C. Calculate percentage error in X, when percentage error in a,b,c are 4,2 and 3 respectively.

Answer 1

9.5%

Step-by-step explanation:

Missing information :

In this question there is incorrect question .The correct question is

`x\ =(ab^(2) )/(√(c) )`

Given :

`x\ =\ (ab^(2) )/(√(c) )`

From the propagation of error property

`$\Delta$x = $\Delta$a + 2$\Delta$b + 1$\Delta$c\\\ \ \ x = \ \ a + \ \ \ \ b + \ \ \ \ c \\`----------------------Eq(1)

Putting the respective value 4,2 and 3 in the Eq(1) we get

This gives

`percentage \ error \ = 4\ +\ 2*2\ +\ (3)/(2)\\ percentage \ error \ = 4+4+(3)/(2) \\percentage \ error \ = 8+(3)/(2)\\ percentage \ error \ = 8+1.5\\percentage \ error \ = 9.5\\Therefore \ 9.5\%`