In the experiment to determine the Young's modulus of the material of a wire under tension used in the arrangement as shown the percentage error in the measurement of length is a, in the measurement of the radius of the wire is b and in the measurement of the change in length of the wireis C. Percentage error in the measurement of Young's modulus for a given load is

In the experiment to determine the Young's modulus of the material of

1.	In the experiment to determine the Young's modulus of the material of a wire under tension used in the arrangement as shown the percentage error in the measurement of length is a, in the measurement of the radius of the wire is b and in the measurement of the change in length of the wireis C. Percentage error in the measurement of Young's modulus for a given load is
Answer» `a-2 b+c` `a-2 b-c` `a+2 b+c` `a+2 b` SOLUTION :`Y =(F)/(PI R^(2))xx(l)/(Delta l)` TAKING log of both the sides `log Y = log F + log l - log pi - 2 log r - log Delta l` Differentiating it, we have `(Delta Y)/(Y)=0 +(Delta l)/(l) - 0 -(2Delta r)/(r) - (Delta l)/(Delta l)` % ERROR, `(Delta Y)/(Y)xx100= ((Delta l)/(l) + (2Delta r)/(r) + (Delta(Delta l))/(Delta l))xx100` `=a + 2b + c`