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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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