Consider the following four ratios that arise in different branches of physics:
PHYSICS · Multi-part · CBSE · Physics · Units and Measurements · Units and Measurements
Problem
Consider the following four ratios that arise in different branches of physics:
(i) For each ratio A–D, determine whether it is dimensionless. Show your working by expressing every quantity in terms of the fundamental dimensions M,L,T.
(ii) For each ratio that is dimensionless, state one physical situation where it plays an important role and explain that role briefly.
(iii) For any ratio found to possess dimensions, suggest a modification (for example, by multiplying or dividing by another quantity) that would make it dimensionless, and justify your suggestion.