1. If two identical transverse waves travel in the same direction along a string
ID: 1534084 • Letter: 1
Question
1. If two identical transverse waves travel in the same direction along a string and have a phase difference of 0.75 wavelength, what type of interference occurs?
a. fully constructive interference
b.fully destructive interference
c.intermediate interference
2. A radio station has a transmitting tower that transmits its signal (electromagnetic waves) uniformly in all directions on the west end of Main Street. They are considering building a second, identical transmitter at the east end of Main Street, ten miles due east of the first transmitter. The same signal is to be broadcast at the same time from both towers. As you drive ten miles east to west on Main Street, what would you hear as you listen to the radio station broadcast from these two towers?
a. The signal is the same as it was with just one tower. For the first five miles, you receive the signal from the east tower. For the second five miles, you receive the signal from the west tower.
b. To answer this question, one must know the amplitude of the broadcast signal.
c. The signal gets stronger as you drive the first five miles, but then the signal decreases as you travel the final five miles.
d. The signal is somewhat stronger than when there was just one tower and there is no variation in signal strength as you drive the ten miles.
e. The signal alternates between increasing strength and decreasing strength as you drive the ten miles.
Explanation / Answer
1] For the two waves to be fully out of phase at all times, the phase difference should be half wavelength [or odd multiples of half wavelength].
therefore, phase difference of 0.75 wavelength will result in intermediate interference. [c]
2] Again, there will be intermediate interference between the waves emitted from the two far stations which change in signal strength with time [but this will not be entirely out of phase]. Therefore, the signal will alternate between increasing and decreasing strength as one drives the ten miles.
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