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(B) The standard equation of a progressive wave is $y = a \sin (\omega t - kx + \phi)$.Comparing the given equation $y = 4 \sin \left( \frac{\pi t}{5}

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$\lambda = 18 \, m$

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(B) The standard equation of a progressive wave is $y = a \sin (\omega t - kx + \phi)$.Comparing the given equation $y = 4 \sin \left( \frac{\pi t}{5} - \frac{\pi x}{9} + \frac{\pi}{6} \right)$ with the standard form:Amplitude $a = 4$ units (assuming units are in $m$,$a = 4 \, m$).Angular frequency $\omega = \frac{\pi}{5} \, rad/s$.Wave number $k = \frac{\pi}{9} \, rad/m$.Frequency $n = \frac{\omega}{2\pi} = \frac{\pi/5}{2\pi} = 0.1 \, Hz$.Wave length $\lambda = \frac{2\pi}{k} = \frac{2\pi}{\pi/9} = 18 \, m$.Wave speed $v = \frac{\omega}{k} = \frac{\pi/5}{\pi/9} = 1.8 \, m/s$.Thus,option $B$ is correct.

The equation of a progressive wave is given by $y = 4 \sin \left( \pi \left( \frac{t}{5} - \frac{x}{9} \right) + \frac{\pi}{6} \right)$. Which of the following is correct?

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