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AP EAMCET · PHYSICS · Units and Dimensions

A certain physical quantity is calculated from the formula \(\frac{\pi}{3}\left(a^2-b^2\right) h d\), where \(a, b\) and \(h\) are all lengths and \(d\) is density. The physical quantity being calculated is

  1. A velocity
  2. B volume
  3. C mass
  4. D acceleration
Verified Solution

Answer & Solution

Correct Answer

(C) mass

Step-by-step Solution

Detailed explanation

\(\frac{\pi}{3}\left(a^2-b^2\right)\) hd ...(1) a, b, h has length "l" so there unit is \(\mathrm{m}(\mathrm{L})\) \(\mathrm{d}=\) density \(=\frac{\text { Mass }}{\text { volume }}=\frac{\mathrm{kg}}{\mathrm{m}^3}=\frac{\mathrm{M}}{\mathrm{L}^3}\) \(\frac{\pi}{3}\) has no…