Highly selective Backlog Qs for JEE MainPhysicsMathematics in Physics
If Z =   A 4 B 1 / 3   C D 3 / 2 and ∆ A , ∆ B , ∆ C   and   ∆ D are their absolute errors in A ,   B ,   C and D respectively. The relative error in Z is
Options
- A∆ Z Z = 4 ∆ A A + 1 3 ∆ B B + ∆ C C + 3 2 ∆ D D
- B∆ Z Z = 4 ∆ A A + 1 3 ∆ B B - ∆ C C - 3 2 ∆ D D
- C∆ Z Z = 4 ∆ A A + 1 3 ∆ B B + ∆ C C - 3 2 ∆ D D
- D∆ Z Z = 4 ∆ A A + 1 3 ∆ B B - ∆ C C + 3 2 ∆ D D
Correct answer
A. ∆ Z Z = 4 ∆ A A + 1 3 ∆ B B + ∆ C C + 3 2 ∆ D D
Step-by-step solution
Given: Z =   A 4 B 1 / 3   C D 3 / 2 , The relative error in Z is given by ∆ Z Z = 4 ∆ A A + 1 3 ∆ B B + ∆ C C + 3 2 ∆ D D