Question
A transverse harmonic wave on a string is described by
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where x, y are in cm and t in s. The positive direction of x is from left to right.
(a) Is this a travelling or a stationary wave? If this is travelling, then what is the speed and direction of its propagation?
(b) What is its amplitude and frequency?
(c) What is the initial phase at the origin?
(d) What is the least distance between two successive crests in the wave?
Solution
The harmonic wave equation is given by,
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...(1)
The general harmonic wave equation is,
...(2)
Comparing (1) and (2), we get
(a) The given wave is a travelling wave.
The speed of wave is,
(b) Amplitude, A = 3.0cm
Frequency,![<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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(c) Initial phase,
(d) The least distance between two successive crests in the wave is equal to wavelength.
...(1) The general harmonic wave equation is,
...(2) Comparing (1) and (2), we get
(a) The given wave is a travelling wave.
The speed of wave is,
(b) Amplitude, A = 3.0cm
Frequency,
(c) Initial phase,
(d) The least distance between two successive crests in the wave is equal to wavelength.
