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MHT CET 2020 (19 Oct, Shift 2) · Units & Dimensions

Units & Dimensions question from MHT CET 2020 (19 Oct, Shift 2)

Q69MHT CET 2020 · 19 OCT · SHIFT 2Easy

Units & Dimensions

Let x=πR(P2−Q22)x = \pi R\left(\frac{P^2 - Q^2}{2}\right), where P,QP, Q and RR are lengths. The physical quantity xx is

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Answer: (c)

  1. P2−Q2P^2 - Q^2 has dimensions [L2][\mathrm{L^2}]; π\pi and 22 are pure numbers.
  2. [x]=[L][L2]=[L3][x] = [\mathrm{L}][\mathrm{L^2}] = [\mathrm{L^3}]
  3. So the answer is (c) volume.
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