1)Which of the following is both unitless and dimensionless? (a) Angle (b)Solid angle (c) Mechanical equivalent of heat (d) Refractive index
Question
1)Which of the following is both unitless and dimensionless? (a) Angle (b)Solid angle (c) Mechanical equivalent of heat (d) Refractive index
Solution
The correct answer is (d) Refractive index.
Here's why:
(a) Angle: Although it is dimensionless, it is not unitless. It is measured in degrees or radians.
(b) Solid angle: Similar to angle, it is dimensionless but not unitless. It is measured in steradians.
(c) Mechanical equivalent of heat: It has both dimensions and units. It is the energy equivalent of heat, measured in joules per calorie.
(d) Refractive index: It is both dimensionless and unitless. It is the ratio of the speed of light in a vacuum to its speed in a specific medium, and thus, has no units or dimensions.
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