Download Problem Set #2

Problem Set #2
Remember, problem sets must be completed individually, without the help of any other
person other than Ms Carr. You may reference textbooks, websites, and notes. But, you
should not provide or receive assistance of any kind to or from any other person.
1.
A sound wave of frequency 450 Hz is emitted from A and travels towards B, a
distance of 150 m away. Take the speed of sound to be 341 ms-1. How many
wavelengths fit into this distance between A and B?
2.
A sound wave of frequency 500 Hz travels from air into water. The speed of
sound in air is 330 ms-1 and in water is 1490 ms-1. What is the wavelength of
the wave in each medium?
3.
A stone is dropped on a still pond at t=0. The wave reaches a leaf floating on
the pond a distance of 3.00 m away. The leaf then begins to oscillate
according to the graph shown.
a. Find the speed of the water waves.
b. Find the period and frequency of the wave.
c. Find the wavelength and amplitude of the wave.
4.
A student investigates the relationship between wave speed and tension for a
pulse sent down a rope as shown in the diagram. The student varied the
amount of mass hanging on the end of the rope.
Mass (kg)
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
a.
b.
c.
d.
e.
5.
Pulse Speed (ms-1)
0.81
1.1
1.4
1.6
1.8
2.0
2.1
2.3
2.4
2.6
Graph the wave speed vs Tension.
Determine the mathematical relationship for this graph.
Determine the mass per unit length of the rope.
If the rope is 2.0 meters long, what is its mass?
If pulses are sent down the rope at a frequency of 15.0 Hertz, what is the
wavelength of the waves produced?
A ray of light enters glass from air at an angle of incidence equal to 45o.
Draw the path of this ray assuming that the glass has an index of refraction
equal to 1.420 and the plastic has an index of refraction of 1.350. Annotate
your diagram to show the values for the angles as the ray progresses through
each medium.
6.
In each case, below, the two pulses are equal width and height and are
traveling in opposite directions on the same string. When the pulses
completely overlap, what is the shape of the string?
a.
b.
7.
Light passes from water (n=1.33) into a glass block with an index of refraction
of 1.55 at a 65o angle. The ray then approaches a boundary with air. Does the
light ray pass into the air or is it trapped in the block?
8.
What is the acceptance angle for light passing from air into an optical fiber
with a core (n=1.75) and a cladding of 1.48?
9.
The attenuation of light in a given fiber is 2 dB km-1.
a. What is the attenuation after 8 km of fiber?
b. If a signal of 2 mW is sent into the fiber, what power of signal comes out?
10.
Convert the following numbers into binary form.
a. 12
b. 26
c. 33