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  4. The equation of longitudinal wave represented as y = 20 cos π (50 t - x) cm. Then its wavelength is

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Q. The equation of longitudinal wave represented as $y = 20 \cos \, \pi (50 t - x) cm.$ Then its wavelength is

ManipalManipal 1980Electromagnetic Waves

Solution:

The standard equation of a wave of amplitude a is given by
$ y = a cos (\omega t - kx) ...(i)$
where, $\omega$ is angular veiocity, k the wave number and t there time.
Wavelength $ \, \, \, \lambda = \frac{2 \pi}{k} = \frac{2 \pi}{\pi} = 2 \, cm$