Question

Two radio antennas separated by d = 302 m as shown in the figure
below simultaneously broadcast identical signals at the same
wavelength. A car travels due north along a straight line at
position x = 1330 m from the center point between the antennas, and
its radio receives the signals. Note: Do not use the small-angle
approximation in this problem.

(a) If the car is at the position of the second maximum after that
at point O when it has traveled a distance y = 400 m northward,
what is the wavelength of the signals?

[Incorrect: Your answer is incorrect.]

Return to the derivation of the locations of constructive
interference in Young's double slit experiment. m

(b) How much farther must the car travel from this position to
encounter the next minimum in reception?

[Incorrect: Your answer is incorrect.]

You must work with the full trigonometric expressions for
constructive and destructive interference because the angles are
not small. m

Answer #1

d = 302 m , x = 1330 m

(a) y = 400 m

m = 2

from pythogerous law

H = (1330^2+302^2)^0.5

H = 1363.86 m

sin(theta) = 400/1363.86

sin(theta) = 400/1363.86

theta = 17.05 degrees

tan (17.5) = 0.307

we are not using small angles

dsin(theta) = m*lamda

302*(400/1363.86) = 2*lamda

lamda = 44.3 m

(b)

dsin(theta) = (m+0.5)*lamda

302*Sin(theta) = (2+0.5)*44.3

sin(theta) = 0.366

theta = 21.47 degrees

tna(theta) = y'/x

tan(21.47) = y'/1330

y' =523 m

y' -y = 523 - 400 = 123 m

Two radio antennas separated by d = 294 m, as shown in
the figure below, simultaneously broadcast identical signals at the
same wavelength. A car travels due north along a straight line at
position x = 1,190 m from the center point between the
antennas, and its radio receives the signals. Hint: Do not
use the small-angle approximation in this problem.
(a) If the car is at the position of the second maximum after
that at point O when it...

Two radio antennas are 130 m apart on a north-south line. The
two antennas radiate in phase at a frequency of 4.1 MHz. All radio
measurements are made far from the antennas. The smallest angle,
reckoned north of east from the antennas, at which destructive
interference of the two radio waves occurs, is closest to:
Two radio antennas are 10 km apart on a north-south axis on a
seacoast. The antennas broadcast identical AM radio signals, in
phase, at a...

1. A bat uses very high frequencies so:
a. He will kill the insects he's hunting
b. We won't hear them
c. The sound waves will be small compared to the
insects
d. The sound waves will be large compared to the
insects
e. He can tune in to KMET for the weather
report
2. Bees see somewhat into the ultraviolet. This is
because:
a. They use radar
b. They can see in the dark
c. They evolved with a...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 14 minutes ago

asked 21 minutes ago

asked 35 minutes ago

asked 38 minutes ago

asked 41 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago