Units & Dimensions

JEE Main level, single correct, medium

92 of 149

Question 92 of 149

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

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Answer: (C) ML−1T−1M{L}^{-1}{T}^{-1}

Unit of Pascal is Nm−2N{m}^{-2}.
So, dimension of
Pascal‐sec⁡Pascal‐\sec is
[Nm−2][s]\left[N{m}^{-2}\right]\left[s\right]=MLT−2L2×T=ML−1T−1=\dfrac{ML{T}^{-2}}{{L}^{2}}\times T=M{L}^{-1}{T}^{-1}

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