CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

A physical quantity $$X$$ is represented by $$X = (M^x L^{-y}T^{-z})$$. The maximum percentage errors in the measurement of $$M, L$$ and $$T$$, respectively, are $$a\%, \ b\%$$ and $$c\%$$. The maximum percentage error in the measurement of $$X$$ will be:


A
(ax+bycz)%
loader
B
(axbycz)%
loader
C
(ax+by+cz)%
loader
D
(axby+cz)%
loader

Solution

The correct option is C $$(ax + by + cz)\%$$
$$X=\left[ { M }^{ x }{ L }^{ -xy }{ T }^{ -z } \right] $$
% error in $$M=a$$%
% error in $$L=b$$%
% error in $$T=c$$%
$$\dfrac { \Delta X }{ X } \times 100=\left[ x\dfrac { \Delta M }{ M } +y\dfrac { \Delta L }{ L } +z\dfrac { \Delta T }{ T }  \right] \times 100$$
                     $$=ax+by+cz$$
Maximum error in $$X=\left( ax+by+cz \right) $$%

Physics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image