Equation of a progressive wave is given by $y = 4\sin \left\{ {\pi \left( {\frac{t}{5} - \frac{x}{9}} \right) + \frac{\pi }{6}} \right\}$. Then which of the following is correct
AIPMT 1988, Medium
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(b) From the given equation amplitude $a = 0.04m$
Frequency $ = \frac{{{\rm{Co}} - {\rm{efficient of t}}}}{{2\pi }}$
$ = \frac{{\pi /5}}{{2\pi }} = \frac{1}{{10}}Hz$
Wave length $\lambda = \frac{{2\pi }}{{{\rm{Co}} - {\rm{efficient}}\;of\;x}}$
$ = \frac{{2\pi }}{{\pi /9}}=18m.$
Wave speed $v = \frac{{{\rm{Co - efficient of }}t}}{{{\rm{Co - efficient of }}x}}$
$ = \frac{{\pi /5}}{{\pi /9}} = 1.8m/s.$
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