Looking for classes? Ksquare Career Institute, Bengaluru →
A quantity is represented by $X = M^{a}L^{b}T^{c}$. The % error in measurement of M, L and T are a%, b% and g% respectively. The % error in X would be
Explanation
$X = M^{a}L^{b}T^{c}$; $\Delta X/X \times 100 = (a\Delta M/M + b\Delta L/L + c\Delta T/T) \times 100 = (a\alpha + b\beta + c\gamma)\%$