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Chapter 26 The Refraction of Light: Lenses and Optical Instruments

Chapter 26 The Refraction of Light: Lenses and Optical Instruments

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<strong>26</strong>.2 Snell’s Law <strong>and</strong> the <strong>Refraction</strong> <strong>of</strong> <strong>Light</strong><br />

<strong>26</strong>.2 Snell’s Law <strong>and</strong> the <strong>Refraction</strong> <strong>of</strong> <strong>Light</strong><br />

Example 1 Determining the Angle <strong>of</strong> <strong>Refraction</strong><br />

A light ray strikes an air/water surface at an<br />

angle <strong>of</strong> 46 degrees with respect to the<br />

normal. Find the angle <strong>of</strong> refraction when<br />

the direction <strong>of</strong> the ray is (a) from air to<br />

water <strong>and</strong> (b) from water to air.<br />

(a)<br />

n1<br />

sinθ1<br />

sinθ<br />

= =<br />

n<br />

( 1.00)<br />

sin 46<br />

1.33<br />

o<br />

2<br />

=<br />

2<br />

θ ( )<br />

= 33 o<br />

2<br />

0.54<br />

(b)<br />

n1<br />

sinθ1<br />

sinθ<br />

= =<br />

n<br />

1.33 sin 46<br />

1.00<br />

o<br />

2<br />

=<br />

2<br />

0.96<br />

θ = 74 o<br />

2<br />

5<br />

6<br />

<strong>26</strong>.2 Snell’s Law <strong>and</strong> the <strong>Refraction</strong> <strong>of</strong> <strong>Light</strong><br />

<strong>26</strong>.2 Snell’s Law <strong>and</strong> the <strong>Refraction</strong> <strong>of</strong> <strong>Light</strong><br />

APPARENT DEPTH<br />

Example 2 Finding a Sunken Chest<br />

<strong>The</strong> searchlight on a yacht is being used to illuminate a sunken<br />

chest. At what angle <strong>of</strong> incidence should the light be aimed?<br />

n<br />

sinθ<br />

=<br />

−<br />

o<br />

( )<br />

o<br />

2<br />

sinθ2<br />

( 1.33)<br />

sin 31<br />

=<br />

0.69<br />

n1<br />

1.00<br />

θ<br />

1<br />

=<br />

= 44 o<br />

1<br />

θ tan 1<br />

2<br />

= 2.0 3.3 = 31<br />

7<br />

8

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