Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 36 - Diffraction - Problems - Page 1111: 34b

Answer

$1.3*10^{-4}m$

Work Step by Step

We are given that the angular diameter of the ring is 1.35 times the angular diameter of the Moon, which is$ 0.50^{\circ}$, so we obtain an angular diameter of: $\theta=1.35*0.50^{\circ}$ $\theta=0.675^{\circ}$ $\theta=0.0117rad$ Using the largest visible wavelength of light, $\lambda = 700 *10^{-9}m$, in equation (36-14); we can find the diameter of the water drops. $\theta_R= \frac{1.22\lambda}{d}$ $d= \frac{1.22\lambda}{\theta_R}$ $d\approx \frac{1.22*700 *10^{-9}m}{0.0117rad}$ $d\approx 1.3*10^{-4}m$
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