can there be physical quantity which has No units and dimensions
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There is no physical quantity which has dimensions but no units, because units are derived from the dimensional analysis itself. However, on the contrary, there are some physical quantities which have no dimensions but still have units. For eg. Solid angle, angular velocity etc.
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Quantities having units, but no dimensions : Plane angle,angular displacement, solid angle.These physical quantities possess units but they does not possess dimensional formulas. B a physical quntatity neither having units nor dimensions are trigonometric ratios,strain , specific gravity etc..
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