Question

Statement 1 : Dimensionless quantities have no units.
Statement 2 : Unitless quantities have no dimensions.

• A. Statement $-1$ is true, Statement $-2$ is false
• B. Statement $-1 $ is false, Statement $-2$ is true
• C. Statement $-1 $ is true, Statement $-2$ is true and Statemen $t-2$ is a correct expla natio n for Statement $-1$ .
• D. Statement $-1$ is true, Statement $-2$ is true but Statement $-2$ is not a correct explanation for Statement $-1$

Answer 1

Answer: (B)

$ Statement-1$ is false,
$Statement-2$ is true. Dimensionless quantities like angle and solid angle have units as radian and steradian respectively.
Unitless quantities such as ratios like strain have no dimension.