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NEET2022PhysicsUnits and DimensionsActual

Plane angle and solid angle have:

Options

  1. ADimensions but no units
  2. BNo units and no dimensions
  3. CBoth units and dimensions
  4. DUnits but no dimensions

Correct answer

D. Units but no dimensions

Step-by-step solution

SI unit of plane angle is radian & Unit of solid angle is steradian. For dimension of plane angle: Arc length, l = r θ ⇒ θ = l r = M 0 L 1 T 0 M 0 L 1 T 0 = M 0 L 0 T 0 Clearly, it is a ratio of two quantities of the same dimension, hence it is dimensionless. For dimension of solid angle: Solid angle can be considered as a 3D analogue of a plane angle. It is given by the equation, Ω = A r 2 , where A is the area and R is the radius. Therefore, its dimensions will be, = M 0 L 2 T 0 M 0 L 2 T 0 =

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