Physics: Principles with Applications (7th Edition)

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

Chapter 27 - Early Quantum Theory and Models of the Atom - Problems - Page 799: 18

Answer

3 photons.

Work Step by Step

Divide the minimum energy by the energy of a single 550-nm photon, to find the number of photons. $$E=nhf=E_{min}$$ $$n=\frac{E_{min}}{hf}=\frac{E_{min}\lambda}{hc}$$ $$n=\frac{(10^{-18}J)(550\times10^{-9}m)}{( 6.63\times10^{-34}J \cdot s)(3.00\times10^8m/s)}$$ $$n=2.77\approx 3 photons$$
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