Draw a sine wave and identify the wavelength, amplitude, and displacement of the

Question

Draw a sine wave and identify the wavelength, amplitude, and displacement of the wave. What is a travelling wave? What is a standing wave? Describe resonance in an open tube when a sound wave is sent into the tube and reflects back from the water boundary in that tube. Identify the symbols used in the equation of speed of a wave, v = f lambda. What is the relationship between f and lambda? Direct or Inverse The frequency of sound is 6860 Hz when its speed is 343 m/s. Its wavelength is m. The wavelength of sound is 20 cm when its speed is 343 m/s. Its frequency is Hz. The frequency of the nth harmonic in a pipe closed on one end is given by f_n = nv/4L. Solve for L. If the time period of an oscillation is 10 seconds, what is its frequency? If the time period of an oscillation is 0.1 seconds, what is its frequency? What is the unit of frequency? Can frequency have the unit of sec^-1? Yes or No

Explanation / Answer

5.

v = f*lambda

v = velocity

f = frequency

lambda = wavelength

6.

frequency = speed of light/lambda

f = c/lambda

So it's a inverse relation

7.

f = 6860 Hz

v = 343 m/sec

f = v/lambda

lambda = v/f = 343/6860 = 0.05 m

8.

f = v/lambda

lambda = 20 cm = 0.2 m

f = (343 m/sec)/(0.2 m)

f = 1715 Hz

9.

fn = n*v/4L

L = n*v/(4*fn)

10.

Time period = 1/frequency

T = 1/f

or

f = 1/T

f = 1/10 sec = 0.1 Hz

11.

f = 1/T

f = 1/0.1 sec = 10 Hz

12.

unit of frequency = sec^-1 or 1/sec or Hz

13.

yes unit of frequency can be sec^-1

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