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Q.18

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 990

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Short Answer

A biologist keeps a specimen of his favorite beetle embedded in a cube of polystyrene plastic. The hapless bug appears to be within the plastic. What is the beetle's actual distance beneath the surface?

The beetle's actual distance beneath the surface is

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Step by Step Solution

Step 1: Concepts and Principles

Scattering from a datum plane can create an image. For refract with such a surface, the subject and imaging lengths are linked by

The negative sign shows that we are dealing with a virtual image. is the index of refraction of the object's medium, is the index of refraction of the observer's medium, and distance The object distance , and the image distance being measured from the border.

Step 2: Given Data

  • is the index of refraction of polystyrene plastic.
  • is the index of refraction of air
  • =-2.0 cm is the distance of hapless bug image

Step 3: Required Data

The actual distance between the beetle and the surface must be determined.

Step 4: Beetle's actual distance 

Equation connects the beetle's actual distance with its image distance

(Numerically)

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