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AP EAMCET202125 Aug 2021Evening ShiftPhysicsUnits and DimensionsActual

Which quantity among the following has neither units nor dimensions?

Options

  1. ARelative velocity
  2. BRelative density
  3. CAngle
  4. DEnergy

Correct answer

B. Relative density

Step-by-step solution

Relative velocity (v_A v_B ) for two bodies A and B has both units ( ms ⁻¹ ) and dimensions [ LT ⁻¹ ] . Relative density of two substances ( = _A _B ) A and B have no units and no dimensions. Angle is measured in radian. Thus, it has units but no dimensions. Energy is measured in joule and has dimensions [ ML ^2 ~T ⁻² ] Hence, only relative density has neither unit nor dimensions

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