The relationship between physical and perceptual quantities

[nao113]

Homework Statement

Imagine and draw a figure to show the relationship between physical and perceptual quantities below as shown in fig.1 with some explanations.
a) Physical and perceptual size of an object
b) Physical and perceptual distance to an object
c) Wavelength of light and color perception (What kind of perceptual quality should be the vertical axis?)

Relevant Equations

In the pictures below

Answer:

Did I draw them right?

 

[kuruman]

You are asked to provide explanations. Where are they? Specifically, what do the two dashed lines represent in the "Size of an object" figure? You also have to explain the other general features such as why the perceived size or distance do not change as the physical size or distance increase and then all of a sudden there is a linear increase to both of them.

 

[haruspex]

There are a couple of difficulties wrt estimating the distance to and size of an object.
1. The two are related; the further away you think it is the larger it will appear to be.
2. for size, are we talking linear dimension, area or volume?

wrt your attempt, consider some extreme examples. How large and far away does the moon look?