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Questions  >>  JEEMAIN and NEET  >>  Physics  >>  Class11  >>  Units and Measurement
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Q)

Find the dimension of physical quantity $X$ in the equation $Force=\large\frac{X}{Density}$

\[(a)\;M^1L^4T^{-2}\quad (b)\;M^2L^{-2}T^{-1} \quad (c)\;M^2L^{-2}T^{-2}\quad (d)\;M^1L^{-2}T^{-1}\]

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A)
 
$X=Force \times Density$
$\quad=MLT^{-2} \large\frac{M}{L^3}$
$\quad=M^2L^{-2}T^{-2} $
$x=M^2L^{-2}T^{-2}$
Hence c is the correct answer.

 

 
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A)
Force= X /density Solu: X= force × density X = [MLT^-2] ×[ML^-3] X=[M^2 L^-2 T^-2]
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