Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 26 - Geometrical Optics - Problems and Conceptual Exercises - Page 945: 107

Answer

(a) $1.8$ (b) no

Work Step by Step

(a) $n_1sin45^{\circ}=n_2sin(\frac{45}{2})$ $\implies (1)(\frac{1}{\sqrt2})=n_2sin(22.5^{\circ})$ $\implies n_2=1.8$ (b) According to Snell's law $n_1sin\theta_1=n_2sin\theta_2$ $\implies (1) sin45^{\circ}=nsin(0)$ $n=\frac{1}{\frac{\sqrt2}{0}}$ $n=\infty$ Hence the beams cannot meet at the center of the sphere.
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