A reflective spherical balloon

In summary, a reflective spherical balloon is a balloon made of a reflective material that reflects light and creates a mirrored surface, making it appear invisible. It is often used for scientific research and can be made by applying a reflective coating to a spherical shape. However, there are some safety concerns to consider when using these balloons.
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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
 
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It looks correct to me.
 
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Related to A reflective spherical balloon

1. What is a reflective spherical balloon?

A reflective spherical balloon is a type of balloon that is made of a reflective material, such as aluminum or Mylar, and has a spherical shape. It is often used for scientific experiments or as a decoration.

2. How does a reflective spherical balloon work?

A reflective spherical balloon works by reflecting light off its surface. The reflective material on the balloon's surface bounces light off at different angles, creating an illusion of a larger or smaller object, depending on the angle of the light.

3. What are the applications of a reflective spherical balloon?

A reflective spherical balloon has various applications in science, such as studying light and optics, measuring distances, and creating optical illusions. It is also used for decoration purposes, such as in parades or parties.

4. How is a reflective spherical balloon different from a regular balloon?

A reflective spherical balloon is different from a regular balloon in terms of its shape and material. A regular balloon is typically made of latex or rubber and has a round or elongated shape. In contrast, a reflective spherical balloon is made of a reflective material and has a perfectly spherical shape.

5. Can a reflective spherical balloon be used in space?

Yes, a reflective spherical balloon can be used in space. Since it reflects light, it can be used to measure distances and study light in the vacuum of space. It can also be used as a marker or a reflective surface for communication purposes.

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