Physics Technology Update (4th Edition)

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

Chapter 30 - Quantum Physics - Problems and Conceptual Exercises - Page 1074: 24

Answer

a) First station b) Second station

Work Step by Step

(a) We are given the power of both stations and we can express power as: $P=nhf$, where $n$ is the number of photons emitted per second and $f$ is the frequency. The power is the same, so: $n_1f_1=n_2f_2$ $\implies \frac{n_1}{n_2}=\frac{f_2}{f_1}$ This equation shows us that frequency and the number of photons emitted per second are inversely proportional. Thus, the first station with a smaller frequency emits more photons per second. (b) We know that $E=hf$ This shows us that frequency is directly proportional to energy. Hence the second station with a higher frequency has more energy than the first one.
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