How do I solve color filter problems like the ones below? As you can see, I alre

Question

How do I solve color filter problems like the ones below?

As you can see, I already have the answers to these questions, but I don't get them. I'm looking for a general approach to these problems so I can hopefully solve them on my own. You can work through one or both if you want if it would help you explain it to me better. Thanks. =)

1) A white light source produces magenta colored light after a filter
is placed in front of it. Now a second filter is placed in front of the first. What color does the resulting light have if the second filter is

a) green? Answer: black (no light)
b) red? Answer: red
c) blue? Answer: blue

2) A white light source produces yellow colored light after a filter
is placed in front of it. Now a second filter is placed in front of the first. What
color does the resulting light have if the second filter is

a) green? Answer: green
b) red? Answer: red
c) blue? Answer: black (no light)

Explanation / Answer

A filter works on the principle that it absorbs all the radiation excpet for which it is specified. i.e. A red filter absorbs all the radiation except the red 1) The out put from the filter is magneta i.e. the filter is magneta filter a) When a green filter placed in front of it, it absorbs all the magneta radiation (complementary of green) so that it appears dark b) When a red filter placed in front of it, it transmits the red radiation so that it appears red c) When a blue filter placed in front of it, it transmits the blue radiation so that it appears blue 2) The out put from the filter is yellow i.e. the filter is yellow filter a) When a green filter placed in front of it, it transmits the green radiation so that it appears green b) When a red filter placed in front of it, it transmits the red radiation so that it appears red c) When a blue filter placed in front of it, it absorbs all the blue radiation (complementary of yellow) so that it appears dark When a red filter placed in front of it, it transmits the red radiation so that it appears red c) When a blue filter placed in front of it, it transmits the blue radiation so that it appears blue 2) The out put from the filter is yellow i.e. the filter is yellow filter a) When a green filter placed in front of it, it transmits the green radiation so that it appears green b) When a red filter placed in front of it, it transmits the red radiation so that it appears red c) When a blue filter placed in front of it, it absorbs all the blue radiation (complementary of yellow) so that it appears dark When a blue filter placed in front of it, it transmits the blue radiation so that it appears blue 2) The out put from the filter is yellow i.e. the filter is yellow filter The out put from the filter is yellow i.e. the filter is yellow filter a) When a green filter placed in front of it, it transmits the green radiation so that it appears green b) When a red filter placed in front of it, it transmits the red radiation so that it appears red c) When a blue filter placed in front of it, it absorbs all the blue radiation (complementary of yellow) so that it appears dark a) When a green filter placed in front of it, it transmits the green radiation so that it appears green b) When a red filter placed in front of it, it transmits the red radiation so that it appears red c) When a blue filter placed in front of it, it absorbs all the blue radiation (complementary of yellow) so that it appears dark When a red filter placed in front of it, it transmits the red radiation so that it appears red c) When a blue filter placed in front of it, it absorbs all the blue radiation (complementary of yellow) so that it appears dark When a blue filter placed in front of it, it absorbs all the blue radiation (complementary of yellow) so that it appears dark

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