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JEE Main 202227 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
27 June
Shift
Evening Shift
Subject
Physics
Chapter
Units and Dimensions

JEE Main 2022 · 27 June · Evening Shift · Physics · Units and Dimensions

The SI unit of a physical quantity is Pascal ‐ sec . The...

The SI unit of a physical quantity is Pascal‐secPascal ‐ sec. The dimensional formula of this quantity will be

Options

  1. AML2T−1M{L}^{2}{T}^{- 1}
  2. BM−1L3T0{M}^{- 1}{L}^{3}{T}^{0}
  3. CML−1T−1M{L}^{- 1}{T}^{- 1}
  4. DML−1T−2M{L}^{- 1}{T}^{- 2}

Correct answer

C. ML−1T−1M{L}^{- 1}{T}^{- 1}

Step-by-step solution

Unit of Pascal is Nm−2N{m}^{- 2}.

So, dimension of Pascal‐secPascal ‐ sec is

\left[N{m}^{- 2}\right]\left[s\right]= \dfrac{ML{T}^{- 2}}{{L}^{2}} \times T = M{L}^{- 1}{T}^{- 1}

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