If Q= x^ n y^ m and Δx, Δy are absolute errors in the measurement of x and y, then…

Physics · JEE Main · NTA Exams — Physics and Measurement

If \(Q=\frac{x^{n}}{y^{m}}\) and Δx, Δy are absolute errors in the measurement of x and y, then absolute error ΔQ in Q is

\(\Delta Q= \pm\left(n \frac{\Delta x}{x}+m \frac{\Delta y}{y}\right)\)
\(\Delta Q= \pm\left(n \frac{\Delta \mathbf{x}}{\mathbf{x}}+m \frac{\Delta y}{y}\right) Q\)
\(\Delta Q= \pm\left(n \frac{\Delta x}{x}-m \frac{\Delta y}{y}\right) Q\)
\(\Delta Q= \pm\left(n \frac{\Delta x}{x}-m \frac{\Delta y}{y}\right)\)

Answer

(B) Q= (n x x +m y y ) Q

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