OnlineCBT
Physics · UNITS AND MEASUREMENT
हिन्दीConsider the following statements regarding the method of dimensional analysis: Statement I: If an equation is dimensionally correct, it is guaranteed to be physically correct. Statement II: The dimensionless constant in a physical relation (such as \( 2\pi \) in \( T = 2\pi\sqrt{l/g} \)) cannot be determined using dimensional analysis alone. Statement III: A formula involving the sum of two terms having different dimensions, such as \( K = \frac{1}{2}mv^2 + ma \), is dimensionally invalid according to the principle of homogeneity. Which of the above statements are correct?
Correct answer · Option 2
Statement II and Statement III only
Explanation
Statement I is incorrect because dimensional correctness does not guarantee exact physical correctness (e.g. numerical prefactors can be wrong). Statements II and III are correct as highlighted in Section 1.6.2 and Example 1.4.
