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AIIMS 2007
Exam
AIIMS
Year
2007
Subject
Physics
Chapter
Units and Dimensions

AIIMS 2007 · Physics · Units and Dimensions

What is the dimensions of impedance ?

What is the dimensions of impedance ?

Options

  1. A(\left[\mathrm{ML}^2 \mathrm{~T}^{-3} \mathrm{~A}^{-2}\right])
  2. B(\left[\mathrm{M}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^3 \mathrm{~A}^2\right])
  3. C(\left[\mathrm{ML}^3 \mathrm{~T}^{-3} \mathrm{~A}^{-2}\right])
  4. D(\left[\mathrm{M}^{-1} \mathrm{~L}^{-3} \mathrm{~T}^3 \mathrm{~A}^2\right])

Correct answer

A. (\left[\mathrm{ML}^2 \mathrm{~T}^{-3} \mathrm{~A}^{-2}\right])

Step-by-step solution

Impedance has the same dimensions as that of a resistance ∴ Resistance R= Voltage V current I=[ML2T−3I−1][I]=[ML2T−3I−2]\begin{aligned} & \therefore \quad \text{ Resistance } R=\frac{\text{ Voltage } V}{\text{ current } I} \\ & \quad=\frac{\left[\mathrm{ML}^2 \mathrm{ T}^{-3} \mathrm{I}^{-1}\right]}{[\mathrm{I}]}=\left[\mathrm{ML}^2 \mathrm{ T}^{-3} \mathrm{I}^{-2}\right] \end{aligned})$
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