A longitudinal wave is represented by $x = 10\sin 2\pi \left( {nt - {x \over \lambda }} \right)$ cm. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to :
Solution
<p>Particle velocity = ${{\partial x} \over {\partial t}}$</p>
<p>$\Rightarrow$ Maximum particle velocity $= (2\pi n)\,(10)$</p>
<p>$\Rightarrow (2\pi n)\,(10) = (n\lambda )\,(4)$</p>
<p>$\Rightarrow \lambda = 5\pi$</p>
About this question
Subject: Physics · Chapter: Waves · Topic: Wave Motion and Types
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