The lowest-pitch tone to resonate in a pipe of length L that is dosed at one end

Question

The lowest-pitch tone to resonate in a pipe of length L that is dosed at one end and open at the other end is 200 Hz. Which one of the following frequencies will NOT resonate in the same pipe? 400 Hi 600 Hz 1000 Hz 1400 Hz The critical angle in air for a particular type of glass is 39.0A degree What is the speed of light in this glass? (Note that c 3.00 time 10^8 m/s.) 1.97 times 10^8 m/s 1.94 times 10^8 m/s 1.91 times 10s m/s 1.89 times 10^8 m/s 2.00 times 10^8 m/s The figure shows the displacement y of a wave at a given position as a function of time and the displacement of the same wave at a given time as a function of position Determine the frequency of the wave. 4.0 Hz 0.50 Hz 3.0 Hz 0.33 Hz 0.25 Hz

Explanation / Answer

5. in a closed pipe if 'f' is the fundamental frequency, then given f = 200 Hz, so that the various frequencies that can be present in this pipe are----
3 rd harmonic = first oivertone = n1 = 3 f = 600 Hz
5th harmonic = 2nd overtone = 5 f = 5 x 200 = 1000Hz
7th harmonic = 3 rd oviertone = 7 f = 7 x 200 = 1400 Hz.

so the frequency that can not be present will be 400 Hz. so the answer is (a)

6. sin theta = n2/n1 = sin (39 degrees) = n2/3.0 x 108  

n2 = 1.89 x 108 m/s

ans. is (d)

7. from the graph it is clear that T = 4 sec

hence frequency f = 1/T = 1/4 = 0.25 Hz

ans. is (e)

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