Electromagnetism - Oscilloscope



The figure above represents the trace on the screen of cathode ray oscilloscope. The screen is graduated in centimeters. The spot on the screen moves horizontally with a constant speed of 0.5 centimeter/millisecond and the vertical scale is 2 volts/centimeter. The signal is a superposition of two oscillations. Which of the following are most nearly the observed amplitude and frequency of these two oscillations? 



Oscillation 1
Oscillation 2
A.
5V, 250Hz
2.5V, 1000Hz
B. 
1.5V, 250Hz
3V, 1500Hz 
C.
5V, 6Hz
2V, 2Hz 
D.
2.5V, 83Hz
1.25V, 500Hz 
E.
6.14V, 98Hz
               1.35V, 257Hz 



(GR9677 #28)
Solution:

The graph shows one big λ consists of 6 small λs.
λbig ≈ 6 cm
λsmall ≈ 1 cm 

λf

Given: 0.5 cm/ms
fbig v/λb 0.5 cm/(6 cm ms) = 1/ (12 ms) = 103/(12 s) = 83 Hz (Osc. 1)
fsmall v/λs = 0.5 cm/(1 cm ms) = 1/ (2 ms) = 103/(2 s) = 500 Hz (Osc. 2)

Answer: D

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