Calculating Apparent Depth of Print Beneath Flint Glass Plate

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SUMMARY

The apparent depth of print beneath a 3.5 cm thick flint glass plate is calculated using the formula Apparent = d/n, where N for flint glass is 1.66. The correct calculation yields an apparent depth of 2.1 cm. To enhance understanding of this optical phenomenon, drawing a ray diagram and applying Snell's Law is recommended for visualizing light behavior at the glass-air interface.

PREREQUISITES
  • Understanding of Snell's Law in optics
  • Familiarity with the concept of refractive index
  • Basic knowledge of ray diagrams
  • Ability to perform calculations involving ratios and divisions
NEXT STEPS
  • Study Snell's Law and its applications in optics
  • Learn about the properties of different materials' refractive indices
  • Practice drawing ray diagrams for various optical scenarios
  • Explore the concept of apparent depth in different mediums
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding light behavior through different materials.

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Homework Statement


A flint glass plate 3.5 cm thick is placed over a newspaper. How far beneath the top surface of the plate would the print appear to be if you were looking almost vertically downward through the plate?


Homework Equations


N=1.66 for flint glass
Apparent = d/n


The Attempt at a Solution


Apparent depth = 3.5 cm /1.66
= 2.1 cm

I'm not sure if this answer or the formula I used are correct. Thank you.
 
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You're right.
You can have more confidence in your solutions, especially in optics, if you draw the ray diagram (using Snell)
One ray travels straight up through the glass "n" into air, undeflected at the surface (sin theta=0).
The other ray goes thru the glass at angle theta_glass from the normal, but deflects as it leaves the glass,
to angle theta_air ... if these angles are small, sin theta ≈ theta.
Using Snell, that means the angle in air is ≈ theta_glass / n.
 
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Thank you for your explanation!
 

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