Tsokos 1-5 The Realm of physics. IB Assessment Statements. Measurements and Uncertainties Uncertainties in Graphs 1.2.12 Identify uncertainties as error bars in graphs. 1.2.13 State random uncertainty as an uncertainty range (±) and represent it graphically as an ‘error bar’’
b) Radioactive decay, , where λ is the decay constant
i) Negative exponent = decay
ii) Positive exponent = growth
c) You can make a straight line graph of this function by taking the log of each side:
d) The slope in this case would be - λ which is the decay constant
e) The intercept would be , , call it
f) This is a semi-logarithmic plot since we take the log of only one of the variables
b) A straight-line plot of this data can be made by taking the log of both sides
c) The slope in this case would be n
d) The intercept would be
Multiplication, division, powers and roots
i) For complex equations such as trigonometric functions, surface area equations, etc., it may be easier to find the largest and smallest values of Q and deduce that the area is half of the difference between the two.
Example: Find the surface area of a sphere with a radius of 4.0±0.5mm.