A physcial quantity x depends on quantities y | vedclass

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Question

(d) $x = Ay + B\,	an Cz$

From the dimensional homogenity

$[x] = [Ay] = [B] \Rightarrow \left[ {\frac{x}{A}} ight] = [y] = \left[ {\frac{B}{A}

Vedclass · Accepted Answer

$x$ and $A$

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(d) $x = Ay + B\,	an Cz$

From the dimensional homogenity

$[x] = [Ay] = [B] \Rightarrow \left[ {\frac{x}{A}} ight] = [y] = \left[ {\frac{B}{A}} ight]$

$[Cz] = [{M^0}{L^0}{T^0}] = $Dimension less

$x$ and $B$; $C$ and ${Z^{ - 1}};y$ and $\frac{B}{A}$ have the same dimension but $x$ and $A$ have the different dimensions.

A physcial quantity $x$ depends on quantities $y$ and $z$ as follows: $x = Ay + B\tan Cz$, where $A,\,B$ and $C$ are constants. Which of the following do not have the same dimensions

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