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AIIMS 2009
Exam
AIIMS
Year
2009
Subject
Physics
Chapter
Units and Dimensions

AIIMS 2009 · Physics · Units and Dimensions

The dimensions of specific resistance are

The dimensions of specific resistance are

Options

  1. A[ML2 T−2 A−1]\left[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right]
  2. B[ML3 T−3 A−2]\left[\mathrm{M} \mathrm{L}^3 \mathrm{~T}^{-3} \mathrm{~A}^{-2}\right]
  3. C[ML3 T−2 A−1]\left[\mathrm{M} \mathrm{L}^3 \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right]
  4. D[ML2 T−2 A−2]\left[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^{-2} \mathrm{~A}^{-2}\right]

Correct answer

B. [ML3 T−3 A−2]\left[\mathrm{M} \mathrm{L}^3 \mathrm{~T}^{-3} \mathrm{~A}^{-2}\right]

Step-by-step solution

Specific resistance ρ=RAl\rho=\frac{R A}{l}=[ML2 T−3 A−2][L]=[ML3 T−3 A−2]\begin{aligned} & =\left[\mathrm{ML}^2 \mathrm{~T}^{-3} \mathrm{~A}^{-2}\right][\mathrm{L}] \\ & =\left[\mathrm{ML}^3 \mathrm{~T}^{-3} \mathrm{~A}^{-2}\right]\end{aligned}$$
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