Physics

If in the formula $X= 3YZ^2$, the dimensions of $X$ and $Z$ are those of the capacitance and magnetic induction, then the dimensions of Y are :

$M^{-3}L^{-2}T^8A^4$

SOLUTION
$\left[ Y \right] =\dfrac { \left[ X \right] }{ { \left[ Z \right] }^{ 2 } } =\dfrac { \left[ M^{ -1 }{ L }^{ -2 }{ T }^{ 4 }{ A }^{ 2 } \right] }{ { \left[ M^{ 1 }{ { T }^{ -2 }A }^{ -1 } \right] }^{ 2 } }$
$\left[ Y \right] =\left[ M^{ -3 }{ L }^{ -2 }{ T }^{ 8 }{ A }^{ 4 } \right]$

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Single Correct Medium Published on 18th 08, 2020
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