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(B) The standard equation of a travelling wave is given by $y = A \sin (\omega t - kx)$.Comparing the given equation $x = A \sin (2t - 0.1x)$ with the

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$20\pi$

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(B) The standard equation of a travelling wave is given by $y = A \sin (\omega t - kx)$.Comparing the given equation $x = A \sin (2t - 0.1x)$ with the standard form,we identify the wave number $k$ as $k = 0.1$.The wave number $k$ is related to the wavelength $\lambda$ by the formula $k = \frac{2\pi}{\lambda}$.Substituting the value of $k$:$0.1 = \frac{2\pi}{\lambda}$$\lambda = \frac{2\pi}{0.1} = 20\pi$.Therefore,the wavelength of the wave is $20\pi$.

$A$ wave on a string is travelling and the displacement of particles on it is given by $x = A \sin (2t - 0.1x)$. Then the wavelength of the wave is

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