An important skill is to be able to check the?homogeneity?of physical equations using the SI base units
The units on either side of the equation should be the same
To check the homogeneity of physical equations:
Check the units on both sides of an equation
Determine if they are equal
If they do not match, the equation will need to be adjusted
How to check the homogeneity of physical equations
Powers of Ten
Physical quantities can span a huge range of values
For example, the diameter of an atom is about 10–10?m (0.0000000001 m), whereas the width of a galaxy may be about 1021?m (1000000000000000000000 m)
This is a difference of 31 powers of ten
Powers of ten are numbers that can be achieved by multiplying 10 times itself
It is useful to know the prefixes for certain powers of ten
Powers of Ten Table
Exam Tip
You will often see very large or very small numbers categorised by powers of ten, so it is very important you become familiar with these as getting these prefixes wrong is a very common exam mistake!
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