Question

Explain combination of errors and show that error in addition and subtraction is identical or remains same.​

Answer 1

Explanation:

When two quantities are added or subtracted, the absolute error in the final result is the sum of the absolute errors in the individual quantities. Z = A + B

We have by addition, Z ± ΔZ = (A ± ΔA) + (B ± ΔB).

The maximum possible error in Z

ΔZ = ΔA + ΔB

For the difference Z = A – B, we have

Z ± Δ Z = (A ± ΔA) – (B ± ΔB) = (A – B) ± ΔA ± ΔB

or, ± ΔZ = ± ΔA ± ΔB The maximum value of the error ΔZ is again ΔA + ΔB

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Answer 2

Answer:

Explanation: Combination of Errors. If we do an experiment involving several measurements, we must know how the errors in all the measurements combine. For example, density is the ratio of the mass to the volume of the substance