Question

explain in detail about propagation of error class 11​

Answer 1

Answer:

Propagation of Errors in Product:

The quantities Δa/a, Δb/b and Δx/x are called relative errors in the values of a, b and x respectively. The product of relative errors in a and b i.e. Δa × Δb is very small hence is neglected. Hence maximum relative error in x = maximum relative error in a + maximum relative error in b.

Answer 2

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⭕Propagation of Error⭕

(i) Error in Addition or Subtraction Let x = a + b or x = a – b

If the measured values of two quantities a and b are (a ± Δa and (b ± Δb), then maximum absolute error in their addition or subtraction.

Δx = ±(Δa + Δb)

(ii) Error in Multiplication or Division Let x = a x b or x = (a/b).

If the measured values of a and b are (a ± Δa) and (b ± Δb), then maximum relative error.

delta/x=+_ (delta a/a+ delta b/b)

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