A physical quantity x depends on quantities y and z as follows- x - Ay - B tan -C-z- where A- B and C are constants- Which of the followings do not have the same dimensions-x and BC and z-y and B-Ax and A

Question

Toppr Admin · Accepted Answer

The correct option is D x and AGiven-xA0-x-Ay-Btan-Cz-Each term in a equation has same dimensions-x21D2-Dim-x-Dim-Ay-Dim-B-x21D2- x and A cannot have same dimension-

A physical quantity $x$ depends on quantities $y$ and $z$ as follows: $x = A y + B tan (C_{z})$ , where $A, B$ and $C$ are constants. Which of the followings do not have the same dimensions?
$x$ and $B$
$C$ and $z^{-}$
$y$ and $B / A$
$x$ and $A$

The correct option is D $x$ and $A$
Given $x = A y + B t a n (C_{z})$
Each term in a equation has same dimensions.
$\Rightarrow D i m (x) = D i m (A y) = D i m (B)$
$\Rightarrow$ $x$ and $A$ cannot have same dimension.

A physical quantity x depends on quantities y and z as follows: x=Ay+Btan(Cz), where A,B and C are constants. Which of the followings do not have the same dimensions?x and BC and z−y and B/Ax and A

The correct option is D x and AGiven x=Ay+Btan(Cz)Each term in a equation has same dimensions.⇒Dim(x)=Dim(Ay)=Dim(B)⇒ x and A cannot have same dimension.

A physical quantity $x$ depends on quantities $y$ and $z$ as follows: $x = A y + B tan (C_{z})$ , where $A, B$ and $C$ are constants. Which of the followings do not have the same dimensions?
$x$ and $B$
$C$ and $z^{-}$
$y$ and $B / A$
$x$ and $A$

The correct option is D $x$ and $A$
Given $x = A y + B t a n (C_{z})$
Each term in a equation has same dimensions.
$\Rightarrow D i m (x) = D i m (A y) = D i m (B)$
$\Rightarrow$ $x$ and $A$ cannot have same dimension.