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Units And Measurement

Question
CBSEENPH11016506

What do you understand by dimensional formula and dimensional equation?

Solution

Dimensional formula of a physical quantity is an expression which tells us:
 
i) the fundamental units on which the quantity depends on, and 
ii) the nature of dependence. 

For example, dimensional formula of area is [M0L2T0].

This expression tells us that area does not depend upon mass and time but unit of length is required twice. 

Dimensional equation: Physical quantity whebn equated with dimensional formula becomes dimensional equation. 

i.e. dimensional equation of area will be given as,
                          A = [M0L2T0]