A physical quantity is represented by x=M^a L^b T^(-c). The percentage of errors in the measurements…

Q: A physical quantity is represented by x = M^a L^b T^-c. The percentage of errors in the measurements of mass, length and time are  α%, β%, γ% respectively then the maximum percentage error is

Sol: $\large \frac{\Delta x}{x} \times 100 = a (\frac{\Delta M}{M} \times 100) + b (\frac{\Delta L}{L} \times 100) + c (\frac{\Delta T}{T} \times 100)$

= a α + b β + c γ