Q50P DATA As a physics lab instructor... [FREE SOLUTION]

91影视

University Physics with Modern Physics

Hugh D. Young, Roger A. Freedman

Physics

14th edition Edition 路 1596 pages

ISBN: 9780321973610

Chapter 4: Q50P (page 1076)

DATA As a physics lab instructor, you conduct an experiment on standing waves of microwaves, similar to the standing waves produced in a microwave oven. A transmitter emits microwaves of frequency f . The waves are reflected by a flat metal reflector, and a receiver measures the waves鈥� electric-field amplitude as a function of position in the standing-wave pattern that is produced between the transmitter and reflector (Fig. P32.50). You measure the distance d between points of maximum amplitude (antinodes) of the electric field as a function of the frequency of the waves emitted by the transmitter. You obtain the data given in the table.

Short Answer

Expert verified

The speed of light is $3.084 脳 10^{8} m / s$

Step by step solution

Concept of the wavelength, frequency and the speed of light

The distance between points of two maximum amplitude d in terms of the frequency f and the speed of light c is given as $位 = \frac{c}{f}$ The distance between points of two maximum amplitude d is half the wavelength $位 = 2 d$

Calculate the speed of the light

Use the expression we have, $位 = \frac{c}{f}$

$2 d = \frac{c}{f} d = (\frac{c}{2 f})$

Where is the speed of light and it is constant So, the graph will be a straight line and the slope of the graph would be $Slope = \frac{c}{2}$ we plot a graph for a given data for (1/ f) on the x-axis versus (d) on the y-axis and we find the slope of the graph as next

$Slope = \frac{15.2 - 1.7}{1 脳 10^{- 9} - 1.25 脳 10^{- 10}} = 15.42 脳 10^{7} m / s c = 2 脳 Slope = 2 (15.2 脳 10^{7}) = 3.084 脳 10^{8} m / s$