1. [10 points total] Waves have the following properties: velocity ( v ), wavele
ID: 1612253 • Letter: 1
Question
1. [10 points total] Waves have the following properties: velocity (v), wavelength (l), frequency (f), period (T), and amplitude (A).
Refer to the diagram below: Assume the vertical and horizontal are spatial (meters).
[ Fill in the blanks with the appropriate symbol 2 points per blank].
If this were a graph where the vertical dimension was a function of time, and the horizontal were time, which property of the wave would one put in place of wavelength? ___________
(2 points).
The relationship between wavelength ( l ), period (T) , and velocity (v) is:
Frequency (f) and Period(T) are inversely related so… f(waves/second) = 1/T(seconds/wave).
Thus: _________ = l/T = l/(1/f) = f*l
(2 points)
Please use the above information to answer the questions on the next page.
2. [5 points total] A radio station broadcasts at 89.3 Million cycles each second
(e.g. f = 89.3 MHz).
a) (2 points) What is the period of this wave?
b) (3 points) If the wavelength is 3.359 meters, what is the speed of this radio wave?
3. [5 points total] If the speed of light is 3x108 m/s, what would be the wavelength of the light created by the laser (in a bar-code scanner) that resonates at a frequency of 462,000 GHz?
a) (3 points) Solve the appropriate formula for the wavelength (l):
b) (2 points) Plug in the appropriate numbers ( You may leave your answer as a fraction).
Explanation / Answer
If this were a graph where the vertical dimension was a function of time, and the horizontal were time, which property of the wave would one put in place of wavelength?
Answer = Since graph is of time so we will put time period instead of wavelength
Relation between wavelength,period and velocity is
velocity=wavelength/time period
2
(a) period=1/f=1.12*10^(-8) sec
(b)speed=wavelength*frequency=3*10^8 m/s
3
(a) wavelength=speed/frequency
wavelength=speed/frequency=6.5*10^(-7) m
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