QJEEM22Ph7d5c: JEE Main 2022 Physics - Class 11 JEEM22Ph7d5c Solution: If Z = A 2 B 3 C 4 , then the relative error in Z will be :

Question

Verified Solution • 2025–26 Session moderate

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

Accepted Answer

$Z = \frac{A^{2} B^{3}}{C^{4}}$

$∴$ $\frac{Δ Z}{Z} = \frac{2 Δ A}{A} + 3 \times \frac{Δ B}{B} + \frac{4 Δ C}{C}$

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