Embibe Experts Solutions for Exercise 1: EXERCISE

The value of $(1003{)}^{1/3}$ according to binomial theorem is

The value of $(997{)}^{\frac{1}{3}}$ according to binomial theorem is

The value of $K\left[{\left(1+\frac{\mathrm{\Delta }T}{T_0}\right)}^4-1\right]$ (where $\mathrm{\Delta }T\ll T_0$) according to binomial theorem is

The dimensions of time in energy are

Which one of the following is dimensionless physical quantity?

The dimensional formula for moment of couple is

The potential energy of a particle varies with distance $x$ from a fixed origin as $U=\frac{A\sqrt{x}}{x^2+B}$, where $A$ and $B$ are dimensional constants then dimensional formula for $AB$ is

Which of the following relation cannot be deduced using dimensional analysis?
[the symbols have their usual meanings]