1.Check the dimensional correctness of $v^2 - u^2 = 2as$.
2.Find the percentage error in density if mass has $1\%$ error and length of cube has $2\%$ error.
3.Find dimensions of $a$ and $b$ in van der Waals equation $\left(P + \frac{a}{V^2}\right)(V - b) = RT$.
4.Convert $1 \text{ Joule}$ into CGS unit (Ergs) using dimensional analysis.
5.The period of oscillation of a simple pendulum is $T = 2\pi \sqrt{\frac{L}{g}}$. Derive this relation using dimensional analysis.
