Question 123: Units , Dimensions and Error Analysis

Question

If $$Z = {{{A^2}{B^3}} \over {{C^4}}}$$, then the relative error in Z will be :

Accepted Answer

$$Z = {{{A^2}{B^3}} \over {{C^4}}}$$
$$	herefore$$ $${{\Delta Z} \over Z} = {{2\Delta A} \over A} + 3 	imes {{\Delta B} \over B} + {{4\Delta C} \over C}$$

Answer

$${{\Delta A} \over A} + {{\Delta B} \over B} + {{\Delta C} \over C}$$

Answer

$${{2\Delta A} \over A} + {{3\Delta B} \over B} - {{4\Delta C} \over C}$$

Answer

$${{2\Delta A} \over A} + {{3\Delta B} \over B} + {{4\Delta C} \over C}$$

Answer

$${{\Delta A} \over A} + {{\Delta B} \over B} - {{\Delta C} \over C}$$

Units , Dimensions and Error Analysis

If $Z = {{{A^2}{B^3}} \over {{C^4}}}$, then the relative error in Z will be :

Choose the correct answer: