Answer :

Final answer:

The abbreviation SR usually refers to steradians, the unit of solid angle, not the dimension of a spherical radius. Therefore, it is false that a spherical radius is dimensioned with the abbreviation SR preceding its numerical value. The correct option is b.

Explanation:

It is important not to confuse this with a spherical radius. A spherical radius is simply the radius of a sphere, while a steradian is a measure of the 3D angle that projects an area onto the surface of a sphere equal to a square with sides of the radius of the sphere.

For example, the total solid angle (sph) of a sphere is calculated by dividing the surface area of the sphere by the square of the radius.

This gives a value in steradians, which indicates the ‘spread’ of an angle in three dimensions, somewhat analogous to how radians measure angles in two dimensions.

Radians themselves are considered dimensionless because they represent a ratio of two lengths (arc length to radius), while steradians represent a ratio of an area to the square of a radius.

Therefore, when referring to a spherical radius dimension, it is not correct to prepend the numerical value with 'SR'. The correct answer to the student's question is: b. false.

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Rewritten by : Barada