Q.18

Expert-verified
Found in: Page 990

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# 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

See the 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)