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 :


ANSWER

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


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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