Formula X = 5YZ^2 , X and Z have dimensions of capacitance and magnetic field respectively. Wh

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1.Units, Dimensions and Measurement

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The formula $X = 5YZ^2$, $X$ and $Z$ have dimensions of capacitance and magnetic field respectively. What are the dimensions of $Y$ in $SI$ units?

A

$[{M^{ - 2}}\,{L^0}\,{T^{ - 4}}\,{A^{ - 2}}]$

B

$[{M^{ - 3}}\,{L^{-2}}\,{T^8}\,{A^{ 4}}]$

C

$[{M^{ - 2}}\,{L^{-2}}\,{T^6}\,{A^3}]$

D

$[{M^{ - 1}}\,{L^{-2}}\,{T^4}\,{A^2}]$

(JEE MAIN-2019)

Solution

$X{\kern 1pt} = 5Y{Z^2}$

$Y{\kern 1pt} = \frac{X}{{5{Z^2}}} = \,{M^{ – 3}}{L^{ – 2}}{T^8}{A^4}$

Standard 11

Physics

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