   Chapter 29, Problem 30PE

Chapter
Section
Textbook Problem

(a) What is the ratio of power outputs by two microwave ovens having frequencies of 950 and 2560 MHz, if they emit the same number of photons per second? (b) What is the ratio of photons per second if they have the same power output?

To determine

(a)

The ratio of power outputs by two microwave ovens having frequencies of 950 MHz and 2560 MHz , if they emit the same number of photons per second.

Explanation

Given info:

h=6.63×1034 Js

f1=950×106 Hz

f2=2560×106 Hz

Calculation:

Energy of one photon in term of frequency and Planck's constant, we get

E=hf

Substituting the values of frequency first and Planck's constant, we get

E1(6.63×1034 J.s)(950×106 Hz)E1(6.29×1025 J)

Substituting the values of frequency second and Planck's constant, we get

E2(6

To determine

(b)

The ratio of the number of photons per second if they have the same power output.

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