Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 25 - Optical Instruments - Problems - Page 742: 62

Answer

No, their ratio can be determined, but not the individual quantities.

Work Step by Step

Consider equation 25–10, which applies to x-ray diffraction. $$m\lambda=2dsin\phi$$ For each diffraction peak, we measure the angle and by counting, know the order m. $$(1)\lambda=2dsin\phi_1$$ $$(2)\lambda=2dsin\phi_2$$ $$(3)\lambda=2dsin\phi_3$$ The equations allow us to find the ratio of wavelength to lattice spacing. $$\frac{\lambda}{d}=2sin\phi_1=sin\phi_2=\frac{2}{3}sin\phi_3$$ We know their ratio but lack sufficient information to individually determine the wavelength $\lambda$, or the lattice spacing d.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.