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NEET 2012
Exam
NEET
Year
2012
Subject
Physics
Chapter
Units and Dimensions

NEET 2012 · Physics · Units and Dimensions

The dimensions of (μ_0 _0)^ -1 / 2 are

The dimensions of (μ0ε0)−1/2\left(\mu_0 \varepsilon_0\right)^{-1 / 2} are

Options

  1. A[L1/2 T−1/2]\left[\mathrm{L}^{1 / 2} \mathrm{~T}^{-1 / 2}\right]
  2. B[L−1 T]\left[\mathrm{L}^{-1} \mathrm{~T}\right]
  3. C[LT−1]\left[\mathrm{LT}^{-1}\right]
  4. D[L1/2 T1/2]\left[\mathrm{L}^{1 / 2} \mathrm{~T}^{1 / 2}\right]

Correct answer

C. [LT−1]\left[\mathrm{LT}^{-1}\right]

Step-by-step solution

(μ0ε0)−1/2isvelocityoflightHence\left(\mu_0 \varepsilon_0\right)^{-1 / 2} is velocity of light Hence\quad c=\frac{1}{\sqrt{\mu_0 \varepsilon_0}}=\left[\mathrm{LT}^{-1}\right]
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