Q1: Pick up the correct statement from the following :

ANS:D - All the above.

The correct statement from the options provided is: All of the above. Let's break down each statement:

1. Dimensional homogeneity means the dimensions of each term in an equation on both sides are equal: This statement is correct. In dimensional analysis, equations must be dimensionally homogeneous, meaning that each term in the equation must have the same dimensions.
2. Dimensionally homogeneous equations are independent of the system of units: This statement is also correct. Dimensionally homogeneous equations hold true regardless of the system of units used for measurement. They are independent of whether you're using the metric system, the imperial system, or any other system of units.
3. In a dimensionally homogeneous equation, the powers of fundamental dimensions on either side of the equation are identical: This statement is also true. In a dimensionally homogeneous equation, the exponents of the fundamental dimensions on both sides of the equation must match.