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Home  >>  JEEMAIN and AIPMT  >>  Physics  >>  Class11  >>  Units and Measurement
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If the equation $y=A \cos (Bx-Ct)$ describe the motion of objects ( where $x$ and $y$ are displacements, $t$ is time ), what must be the units of variables $A,B$ and $C$ ?

\[(a)\;m,m^{-1},sec^{-1}\quad (b)\;m^{-1},m,sec\quad (c)\;m^{2},m,sec^{-1}\quad (d)\;m^2,m^{-1},sec^{-1}\]

Can you answer this question?
 
 

1 Answer

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$y=A \cos (Bx-Ct)$
$(meters)=A \; as\; (B(meters)-c\;seconds)$
$(meters)=(meters)\;as\;[(unitless)-(unitless)]$
$A=meters\qquad B=\large\frac{1}{meters}$$ \qquad C=\large\frac{1}{seconds}$
Hence a is the correct answer. 
 

 

answered Jun 17, 2013 by meena.p
edited Jan 9, 2014 by meena.p
 
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