Question

Statement 1 : If two quantities have same dimensions, they represent the same physical content.
Statement 2 : Physical quantities have a single dimensional formula

• 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 Statement $-2$ is a correct explanation 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. Although both work and torque have the same dimensions namely $ML ^{2} T ^{-2}$, they represent different physical quantities