- #1
lorenz0
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- Homework Statement
- A balloon has a fully reflective spherical surface with a diameter of ##8 cm##.
Determine the distance of an object whose reflected image appears to be reduced to ##3/4## of its real size.
Is the image upright or inverted?
- Relevant Equations
- ##\frac{1}{p}+\frac{1}{q}=\frac{1}{f}##, ##f=-\frac{R}{2}##, ##M=-\frac{q}{p}##
From ray tracing I would say that the image is upright.
Using the equation ##\frac{1}{p}+\frac{1}{q}=\frac{1}{f}## with ##f=-\frac{R}{2}=-2## and ##M=-\frac{q}{p}=\frac{3}{4}## I get ##p=\frac{2}{3}cm\simeq 0.67 cm##.
Is this correct? Thanks
Using the equation ##\frac{1}{p}+\frac{1}{q}=\frac{1}{f}## with ##f=-\frac{R}{2}=-2## and ##M=-\frac{q}{p}=\frac{3}{4}## I get ##p=\frac{2}{3}cm\simeq 0.67 cm##.
Is this correct? Thanks
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