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Units and Measurement question

2022 · Q157
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Units and Measurement question

2022 · Q157

NEETPhysicsUnits and MeasurementMCQ+4 / −1

Plane angle and solid angle have

  1. A
    Units but no dimensions
  2. B
    Dimensions but no units
  3. C
    No units and no dimensions
  4. D
    Both units and dimensions
View written solutionFree

Correct answer: A

Plane angle = $${{Arc} \over {Radius}} = {{[L]} \over {[L]}}\xrightarrow{} $$ Unit = Radian

$ = [{M^0}{L^0}{T^0}]$

Solid angle = $${{Area} \over {{{(Radius)}^2}}}\xrightarrow{} $$ Unit = Steradian

$$ = {{{L^2}} \over {{L^2}}} = [{M^0}{L^0}{T^0}]$$

$\therefore$ Both have units but no dimensions.

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