Question

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 frequency of 5.9 MHz. A steamship, 200 km offshore, travels due north at a speed of 15 km/hr and passes east of the antennas. A radio on board the ship is tuned to the broadcast frequency. The reception of the radio signal on the ship is a maximum at a given instant. The time interval until the next occurrence of maximum reception is closest to:

Answer #1

wavelength = 3e8 / 4.1e6

wavelength = 73.17 m

now,

for destructive interference

d*sin = ( m + 1/2)wavelength

m = 0

d*sin = wavelength / 2

sin = wavelength / 2d

=
16.345^{o}

---------------------------------------------------------------------------------------------------------------

wavelength = 3e8 / 5.9e6

wavelength = 50.847 m

so,

m * wavelength = d * sin

or

m * wavelength = d * y/L

y = m * wavelength * L / d

y = 1016.95 m

or y = 1.01695 km

time = 4.0677 minutes.

Two radio antennas are 110 m apart on a north-south line. The
two antennas radiate in phase at a frequency of 3.3 MHz. All radio
measurements are made far from the antennas. The smallest angle,
reckoned east of north from the antennas, at which constructive
interference of two radio waves occurs, is closest to:

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...

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...

A radio transmitting station operating at a frequency of 115 MHz
has two identical antennas that radiate in phase. Antenna B is 8.95
m to the right of antenna A. Consider point P between the antennas
and along the line connecting them, a horizontal distance x to the
right of antenna A.
A) For what values of x will constructive interference occur at
point P? Enter your answers in ascending order separated by a
comma.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 23 minutes ago

asked 23 minutes ago

asked 24 minutes ago

asked 35 minutes ago

asked 57 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