STANDARD Physics Propagation of Errors MCQ Question
If Z = A⁴B¹/³ / CD³/² and ΔA, ΔB, ΔC and ΔD are their absolute errors in A, B, C and D respectively. The relative error in Z is:
ΔZ/Z = ΔA/A + 1/3 ΔB/B + ΔC/C + 3 ΔD/2D
ΔZ/Z = ΔA/A + 1/3 ΔB/B - ΔC/C + 3 ΔD/2D
ΔZ/Z = ΔA/A + 1/3 ΔB/B + ΔC/C - 3 ΔD/2D
ΔZ/Z = ΔA/A + 1/3 ΔB/B - ΔC/C - 3 ΔD/2D
Correct Answer
Detailed Explanation
The relative error in Z is given by ΔZ/Z = ΔA/A + 1/3 ΔB/B + ΔC/C + 3 ΔD/2D. This is derived from the formula for propagation of errors in a product or quotient.
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